text:
\section{Introduction}

In 2015, two pentaquark-like resonances were observed by the LHCb Collaboration in the $J/\psi p$
invariant mass spectrum of the $\Lambda_b^0 \to J/\psi p K^-$ decay~\cite{LHCb:2015yax}.
The results of these $P_c$ states were then updated in 2019 with three clear narrow structures
reported in Ref.~\cite{LHCb:2019kea}.
Recently, another new pentaquark state $P_c(4337)$ has been announced with a significance
between 3.1 to $3.7\sigma$ by the LHCb Collaboration~\cite{LHCb:2021chn}.
The existence of these pentaquark-like states with hidden charm had been predicted before
the experimental findings in Refs.~\cite{Wu:2010jy,Wang:2011rga,Yang:2011wz,Yuan:2012wz,Wu:2012md,Xiao:2013yca,Uchino:2015uha}, and they attracted much attention after the observation.
Among the theoretical works, a popular explanation is the anticharmed meson-charmed baryon
molecular picture, where these exotic states are $\bar{D}^{(*)} \Sigma_c^{(*)}$
bound states~\cite{Oset:2012ap,
Garcia-Recio:2013gaa,Chen:2015loa,Chen:2015moa,Roca:2015dva,
He:2015cea,Meissner:2015mza,Huang:2015uda,Wang:2015qlf,Yang:2015bmv,Chen:2016heh,
Roca:2016tdh,Lu:2016nnt,Shimizu:2016rrd,Shen:2016tzq,Ortega:2016syt,Yamaguchi:2016ote,
He:2016pfa,Oset:2016nvf,Lin:2017mtz,Yamaguchi:2017zmn,Shen:2017ayv,Lin:2018kcc,
Liu:2019tjn,Xiao:2019aya,Du:2019pij,Yalikun:2021bfm}.

In Ref.~\cite{Shen:2017ayv}, the authors applied the J\"ulich-Bonn dynamical coupled-channel
(J\"uBo DCC) framework~\cite{Ronchen:2012eg} to the hidden-charm sector to investigate the resonance spectrum in
the $\bar{D}\Lambda_c - \bar{D}\Sigma_c$ system.
The J\"uBo approach was originally developed to extract the light baryon resonance spectrum from $\pi N$ scattering data and has been successfully applied in the simultaneous analysis of pion- and photon-induced reactions~\cite{Ronchen:2014cna,Ronchen:2015vfa,Ronchen:2018ury}. Recently, it was extended to include also electroproduction reactions~\cite{Mai:2021vsw,Mai:2021aui}.   The scattering amplitude is obtained as the solution of a Lippmann-Schwinger
 equation respecting theoretical constraints on the $S$-matrix like unitarity and analyticity.
In the exploratory study of Ref.~\cite{Shen:2017ayv}, only two channels $\bar{D}\Lambda_c$ and $\bar{D}\Sigma_c$ with
vector meson exchange in the $t$-channel were included and one pole in each partial wave up to
$J^P=5/2^+$ and $5/2^-$ was dynamically generated. For $J^P=1/2^-$, there exist a very narrow pole
around $4296$~MeV, which can be considered as a $\bar{D}\Sigma_c$ bound state.

Here, we extend the work of Ref.~\cite{Shen:2017ayv} to a more complete coupled-channel
calculation, including $\bar{D}\Lambda_c$, $\bar{D}\Sigma_c$, $\bar{D}^* \Lambda_c$, $\bar{D}^*
\Sigma_c$, $\bar{D} \Sigma_c^*$ channels, where $t$-channel pseudoscalar and vector meson exchange
and $u$-channel doubly charmed baryon exchange are taken into account. No ``genuine" $s$-channel poles are included.
Possible dynamically generated poles in different partial
waves in the  energy range around 4~GeV are studied. Together with their couplings to the different channels,
we expect to obtain a more comprehensive picture of the hidden-charm resonance spectrum.

This work is organized as follows.
In Sec.~\ref{Sec:theory}, we present the theoretical framework of our calculation.
In Sec.~\ref{Sec:result}, the numerical results for the $\bar{D}\Lambda_c$, $\bar{D}\Sigma_c$,
$\bar{D}^* \Lambda_c$, $\bar{D}^* \Sigma_c$, $\bar{D} \Sigma_c^*$ interactions and relevant
discussions are presented.
We end with a brief summary in Sec.~\ref{Sec:summary}. Many technicalities are relegated to the
Appendix.

\section{Formalism} \label{Sec:theory}

In the J\"uBo model, the scattering equation describing the coupled-channel interactions for a given partial wave
takes the form
\begin{align} \label{Eq:LSEq}
    T_{\mu\nu}(p^{\prime\prime}, p^\prime, z) =& V_{\mu\nu}(p^{\prime\prime}, p^\prime, z) +
        \sum_\kappa \int_0^\infty {\rm d}p p^2 V_{\mu\kappa}(p^{\prime\prime}, p, z) \nonumber \\
        & \times G_\kappa(p, z) T_{\kappa\nu}(p, p^\prime, z),
\end{align}
where $z$ is the scattering energy in the center-of-mass system, $p^{\prime\prime}=|\vec{p^{\prime\prime}}|$,
$p^{\prime}=|\vec{p^{\prime}}|$ and $p=|\vec{p}|$ represent the out-going, in-coming, and intermediate
three-momenta, respectively, which may be on- or off-shell.
The subscripts $\mu$, $\nu$, $\kappa$ are channel indices, and the integral term contains a sum over all intermediate possible quantum numbers and channels involved in the model.
The propagator $G_\kappa(p, z)$ is given by
\begin{align}
    G_\kappa(p, z) = \frac1{z-E_a(p)-E_b(p)+i\varepsilon},
\end{align}
where $E_a(p)=\sqrt{m_a^2+p^2}$ and $E_b(p)=\sqrt{m_b^2+p^2}$ are the on-shell energies of the
intermediate particles $a$ and $b$ in the channel $\kappa$.
In Eq.~\eqref{Eq:LSEq} left-hand cuts and the correct structure of complex branch points are implemented, which allows for a well-defined determination of resonances as poles in the complex energy plane on the second Riemann sheet, see Ref.~\cite{Doring:2009yv} for a detailed discussion.

It should be pointed out that there are different possibilities for the $\bar{D}^* \Lambda_c$,
$\bar{D}^* \Sigma_c$ and $\bar{D} \Sigma_c^*$ channels to couple to a given spin-parity $J^P$.
Different coupling possibilities for these channels are denoted as different channels $\mu$.
In Table~\ref{Tab:QuNum}, we present the complete coupling scheme utilized in this work,
where $S$ is the total spin and $L$ is the orbital angular momentum.
The notation of the quantum numbers is the common spectroscopic notation, $L_{2I,2J}$, with $I$ denoting the isospin.

\begin{table*}[htbp]
    \centering
    \renewcommand\arraystretch{1.5}
    \caption{Angular momentum structure of the coupled channels in isospin $I=\frac12$ up to $J=\frac92$. \label{Tab:QuNum}}
    \begin{tabular}{p{0.5cm}<{\centering}l|*{2}{p{0.8cm}<{\centering}}|*{2}{p{0.8cm}<{\centering}}|*{2}{p{0.8cm}<{\centering}}|*{2}{p{0.8cm}<{\centering}}|*{2}{p{0.8cm}<{\centering}}}
        \hline
        \hline
        $\mu$ & \qquad \qquad \qquad \qquad \qquad \quad $J^P=$ & $\frac12^-$ & $\frac12^+$ & $\frac32^+$ & $\frac32^-$ & $\frac52^-$ & $\frac52^+$ & $\frac72^+$ & $\frac72^-$ & $\frac{9}{2}^-$ & $\frac{9}{2}^+$ \\
        \hline
        1 & $\bar{D}\Lambda_c$ & $S_{11}$ & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        2 & $\bar{D}\Sigma_c$ & $S_{11}$ & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        3 & $\bar{D}^* \Lambda_c(S=1/2)$ & $S_{11}$ & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        4 & $\bar{D}^* \Lambda_c(S=3/2, |J-L|=1/2)$ & - & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        5 & $\bar{D}^* \Lambda_c(S=3/2, |J-L|=3/2)$ & $D_{11}$ & - & $F_{13}$ & $S_{13}$ & $G_{15}$ & $P_{15}$ & $H_{17}$ & $D_{17}$ & $I_{19}$ & $F_{19}$\\
        6 & $\bar{D}^* \Sigma_c(S=1/2)$ & $S_{11}$ & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        7 & $\bar{D}^* \Sigma_c(S=3/2, |J-L|=1/2)$ & - & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        8 & $\bar{D}^* \Sigma_c(S=3/2, |J-L|=3/2)$ & $D_{11}$ & - & $F_{13}$ & $S_{13}$ & $G_{15}$ & $P_{15}$ & $H_{17}$ & $D_{17}$ & $I_{19}$ & $F_{19}$\\
        9 & $\bar{D} \Sigma_c^*(|J-L|=1/2)$ & - & $P_{11}$ & $P_{13}$ & $D_{13}$ & $D_{15}$ & $F_{15}$ & $F_{17}$ & $G_{17}$ & $G_{19}$ & $H_{19}$\\
        10 & $\bar{D} \Sigma_c^*(|J-L|=3/2)$ & $D_{11}$ & - & $F_{13}$ & $S_{13}$ & $G_{15}$ & $P_{15}$ & $H_{17}$ & $D_{17}$ & $I_{19}$ & $F_{19}$\\
        \hline
        \hline
    \end{tabular}
\end{table*}

The potential $V$ iterated in Eq.\eqref{Eq:LSEq} is constructed from the effective interactions
based on the Lagrangians of Wess and Zumino~\cite{Wess:1967jq,Meissner:1987ge}, using
time-ordered perturbation theory (TOPT).
The involved effective Lagrangians are
\begin{align}
	{\cal L}_{PPV} =& i \sqrt2 g_{PPV} (P \partial^\mu P - \partial^\mu P P) V_\mu,	\nonumber \\
	{\cal L}_{VVP} =& \frac{g_{VVP}}{m_V} \epsilon_{\mu\nu\alpha\beta} \partial^\mu V^\nu \partial^\alpha V^\beta P, \nonumber \\
	{\cal L}_{VVV} =& i g_{VVV} \langle V^\mu [V^\nu, \partial_\mu V_\nu] \rangle,	\nonumber \\
	{\cal L}_{BBP} =& \frac{g_{BBP}}{m_P} \bar{B} \gamma^\mu \gamma^5 \partial_\mu P B,	\nonumber \\
	{\cal L}_{BBV} =& - g_{BBV} \bar{B} (\gamma^\mu - \frac{\kappa}{2m_B} \sigma^{\mu\nu} \partial_\nu) V_\mu B,	\nonumber \\
	{\cal L}_{BDP} =& - \frac{g_{BDP}}{m_P} (\bar{B} \partial^\mu P D_\mu + \bar{D}_\mu \partial^\mu P B),	\nonumber \\
	{\cal L}_{BDV} =& i \frac{g_{BDV}}{m_V} \big[ \bar{B} \gamma_\mu \gamma^5 D_\nu (\partial^\mu V^\nu - \partial^\nu V^\mu) \nonumber \\
        & + \bar{D}_\mu \gamma_\nu \gamma^5 B (\partial^\mu V^\nu - \partial^\nu V^\mu) \big],	\nonumber \\
	{\cal L}_{DDV} =& g_{DDV} \bar{D}^\tau (\gamma^\mu - \frac{\kappa}{2m_D} \sigma^{\mu\nu} \partial_\nu) V_\mu D_\tau,
\end{align}
where $P$, $V$, $B$ and $D$ denote the pseudoscalar, vector meson, and baryon octet, in order,
and the decuplet baryons.
We have extended the original formulation~\cite{Ronchen:2012eg} for three flavors to four, but of course this
flavor SU(4) symmetry is strongly broken by the meson and baryon masses.
We apply SU(3) and SU(4) flavor symmetry~\cite{deSwart:1963pdg,Okubo:1975sc} to relate the specific coupling constants.
The expressions of the amplitudes, detailed relations of the couplings and other theoretical
formulae are given in Appendix~\ref{App:formalism}.

\section{Results and discussions} \label{Sec:result}

In this section, we first discuss some generalities pertinent to  the considered processes.
As explained in Appendix A, each exchange process is multiplied by a form factor which contains a cut-off value. In general in the J\"uBo model, those cut-offs are fitted to experimental data and the extracted pole positions depend on the values of those internal parameters.
In the present study, however, we use the cut-off to postdict
the position of the LHCb pentaquarks without a direct fit to the published line shapes, predicting additional states at the same time.
The exact values of the cut-offs used can be found in Appendix~\ref{App:formalism}. It should be noted that we do not attribute any physical meaning to those model-dependent parameters.
A fit to the experimental data of the $P_c$ states as well as an uncertainty analysis is beyond the scope of this work and postponed to the future.

We find that  the potentials of $\bar{D}\Sigma_c \to \bar{D}\Sigma_c$, $\bar{D}^*\Sigma_c \to
\bar{D}^*\Sigma_c$ and $\bar{D}\Sigma_c^* \to \bar{D}\Sigma_c^*$ are attractive, and $S$-wave bound states
can be formed in these channels.
To confirm this, we first do the single channel calculation for all the considered channels as a test.
The absolute value of the $T$-matrix for different channels in the single channel case, such as $\bar{D}\Sigma_c \to \bar{D}\Sigma_c$, in $S$-wave is shown in Fig.~\ref{Fig:t22}.
A peak structure around $4310$~MeV is located just below the $\bar{D}\Sigma_c$ threshold.
Similarly, when performing a single channel calculation, we find a peak for
the $\bar{D} \Sigma_c^*$ channel in the $S_{13}$ partial wave.
For the $\bar{D}^*\Sigma_c$ channel, there exist two peaks in the
$S_{11}$ and $S_{13}$ partial waves, respectively.
Contrary to this, the interactions of $\bar{D}\Lambda_c \to \bar{D}\Lambda_c$ and $\bar{D}\Lambda_c^*
\to \bar{D}\Lambda_c^*$ are repulsive indicating that no bound states can be formed.

We observe that the effect of the $u$-channel diagrams are negligible  due to the large mass of the
exchanged doubly charmed baryon.
Moreover, for the $t$-channel diagrams, vector meson exchange is more important
than pseudoscalar meson exchange in generating bound states for $\bar{D}^{(*)} \Sigma_c^{(*)} \to
\bar{D}^{(*)} \Sigma_c^{(*)}$.
Except for the two partial waves $S_{11}$ and $S_{13}$ mentioned above, we have not observed any
peak structures  in other partial waves in the single channel case.

\begin{figure}[htbp]
    \centering
    \includegraphics[width=0.47\linewidth]{t11.pdf} \
    \includegraphics[width=0.47\linewidth]{t22.pdf} \\
    \includegraphics[width=0.47\linewidth]{t33.pdf} \
    \includegraphics[width=0.47\linewidth]{t55.pdf} \\
    \includegraphics[width=0.47\linewidth]{t66.pdf} \
    \includegraphics[width=0.47\linewidth]{t88.pdf} \\
    \includegraphics[width=0.47\linewidth]{t1010.pdf}
    \caption{The absolute value of the $T$-matrix for the single channel calculation of different channels in $S$-wave. \label{Fig:t22} }
\end{figure}

We now turn to the results of the complete calculation with all five channels included.
The amplitudes squared of partial waves up to $J=7/2$ for the $\bar{D}\Lambda_c \to \bar{D}\Lambda_c$
process are shown in Fig.~\ref{Fig:tau}.
The relation of the dimensionless partial-wave amplitude $\tau_{\mu\nu}$ to the scattering
amplitude $T_{\mu\nu}$ of Eq.(\ref{Eq:LSEq}) is:
\begin{equation}
    \tau_{\mu \nu} = -\pi \sqrt{\rho_\mu \rho_\nu} T_{\mu \nu},
\end{equation}
where  the phase factor is $\rho_\mu=k_\mu E_\mu \omega_\mu/z$, with $k_\mu$, $E_\mu$ and $\omega_\mu$
the on-shell three-momentum, baryon energy and meson energy of channel $\mu$, respectively.

\begin{figure}[htbp]
    \centering
    \includegraphics[width=\linewidth]{tau.pdf}
    \caption{Partial-wave amplitudes squared for $\bar{D}\Lambda_c \to \bar{D}\Lambda_c$ of the full coupled-channel model.
      \label{Fig:tau}}
\end{figure}
We need to point out that although some amplitudes are still increasing within the
range we plot, all of them will eventually fall with increasing  energy.

In Fig.~\ref{Fig:tau}, two peaks can be observed in the $S_{11}$ partial wave.
One is located just below the threshold of $\bar{D}\Sigma_c$ and the other one is below the
threshold of $\bar{D}^*\Sigma_c$. Based on their positions, a reasonable assumption is that they are $S$-wave
$\bar{D}\Sigma_c$ and $\bar{D}^*\Sigma_c$ bound states. Likewise, there are two peaks in the $D_{13}$
wave located below the thresholds of $\bar{D}\Sigma_c^*$ and $\bar{D}^*\Sigma_c$, respectively.
Thus, a similar conjecture is that they are the bound states of these two channels.
It should be pointed out that here $D_{13}$ is the name of the partial wave for $\bar{D} \Lambda_c$
channel meaning $J^P=3/2^-$. This name can be different when talking about another channel
for the same state, while $J^P$ is always the same, c.f. Table~\ref{Tab:QuNum}. If not specifically pointed out, we use
the name of the $\bar{D} \Lambda_c$ partial wave.
For example, if the lower observed $J^P=3/2^-$ state in the $D_{13}$ partial wave is a
$\bar{D}\Sigma_c^*$ bound state, it could be an $S$- or $D$-wave bound state.

In order to substantiate the above inferences and clarify the situation in the other partial
waves, we extend the scattering matrix $T$ to the complex energy plane and perform a search
for  dynamically generated poles on the second Riemann sheet. Note that in the present study no ``genuine" $s$-channel pole diagrams are included. For details of the pole searching and the determination of the
coupling strength, i.e. the residue, of a pole with respect to different channels, we refer to Refs.~\cite{Doring:2009yv,Ronchen:2012eg,Shen:2017ayv}.
In Fig.~\ref{Fig:3d}, we present the absolute value $|T|$ of $\bar{D}\Lambda_c \to
\bar{D}\Lambda_c$ for the  $S_{11}$ and $D_{13}$ partial waves  in the complex energy plane.
Two peak structures are clearly visible in both cases, which are in accordance with the
observed peaks in Fig.~\ref{Fig:tau}.

\begin{figure}[htbp]
    \centering
    \includegraphics[width=0.75\linewidth]{3ds11.pdf} \\
    \includegraphics[width=0.75\linewidth]{3dd13.pdf}
    \caption{Absolute value $|T|$ of $\bar{D}\Lambda_c \to \bar{D}\Lambda_c$. The upper one is
      the $S_{11}$ wave and the lower one is the $D_{13}$ partial wave. \label{Fig:3d}}
\end{figure}

The pole positions and their couplings to different channels  are listed in Table~\ref{Tab:pole}.
It can be seen that all these four poles are very narrow with the widths between 5 to 15~MeV.
The pole at $z_R=4312.43-i2.9$~MeV is about 8~MeV below the threshold
of $\bar{D} \Sigma_c$ and it couples strongly to this channel.
Thus, it can be considered as a $\bar{D} \Sigma_c$ bound state with $J^P=1/2^-$,
and it could be assigned to the $P_c(4312)$ state.
Among all the couplings of the pole at $z_R=4375.89-i7.6$~MeV,
its coupling to the $\bar{D} \Sigma_c^*$ channel is the strongest.
We regard it as a $\bar{D} \Sigma_c^*$ bound state with $J^P=3/2^-$,
where the binding energy is about 10~MeV.
The positions of the remaining two poles are below the threshold
of $\bar{D}^* \Sigma_c$, and their couplings with this channel is the strongest.
These two poles are both viewed as the $S$-wave $\bar{D}^* \Sigma_c$ bound states
with spin-parity $J^P=1/2^-$ and $J^P=3/2^-$, respectively.
We assign them to the observed $P_c(4440)$ and $P_c(4457)$ states.
Note, however, the exact positions of these states do depend on the cut-offs employed in our calculations.
Furthermore we would like to point out that conjectures about the nature
of the observed states are beyond the scope of the present work.

\begin{table*}[htbp]
    \centering
    \renewcommand\arraystretch{1.3}
    \caption{Pole positions $z_R$, spin-parities $J^P$ and couplings $g_\mu$ for the
      states in $S_{11}$ and $D_{13}$ with $I=\frac12$. \label{Tab:pole}}
        \begin{tabular}{p{2.1cm}<{\centering}|*{4}{p{3.5cm}<{\centering}}}
            \hline
            \hline
             & \multicolumn{4}{c}{$z_R (J^P)$} \\
            \cline{2-5}
            \makecell*{$g_\mu$\\$[10^{-3}{\rm MeV}^{-\frac12}]$} & $4312.43-i2.9 (\frac12^-)$ & $4375.89-i7.6 (\frac32^-)$ & $4439.36-i2.8 (\frac12^-)$  & $4460.00-i3.9 (\frac32^-)$ \\
            \hline
            $g_1$ & $1.2+i0.15$ & $0.23-i0.014$ & $0.96+i0.026$ & $0.25-i0.30$ \\
            $g_2$ & $7.7+i1.0$ & $0.21+i0.25$ & $-0.84+i0.29$ & $-0.15+i0.82$ \\
            $g_3$ & $0.023-i0.43$ & $0.053+i0.82$ & $1.2\cdot 10^{-3}-i0.33$ & $-0.13+i0.16$ \\
            $g_4$ & $0$& $0.065+i0.77$ & $0$ & $-0.13+i0.054$ \\
            $g_5$ & $0.022+i0.24$ & $-0.30+i2.5$ & $0.032+i0.067$ & $0.13-i7.3\cdot 10^{-3}$ \\
            $g_6$ & $-1.3+i6.8$ & $-0.95+i1.3$ & $-0.62+i11.4$ & $0.055+i0.070$ \\
            $g_7$ & $0$ & $1.7+i8.0$ & $0$ & $-0.027-i0.13$ \\
            $g_8$ & $-1.3-i12$ & $-1.9+i3.9$ & $-0.10+i0.48$ & $0.061-i2.1$ \\
            $g_9$ & $0$ & $0.20+i0.023$ & $0$ & $-1.1-i1.5$ \\
            $g_{10}$ & $0.17+i0.49$ & $10.1+i3.6$ & $-0.081-i0.021$ & $0.38-i0.85$ \\
            \hline
            \hline
        \end{tabular}
\end{table*}

For other partial waves, no structures are observed directly
close to the real axis (c.f. Fig.~\ref{Fig:tau}), while we do find several poles in those partial waves
located farther away from the real axis.  All the poles obtained in this study
have isospin $I=1/2$, and no states with isospin $3/2$ are found.
In Table~\ref{Tab:other_poles}, we present the pole positions and spin-parities for some of the observed states, which can be regarded as resonances in $P$- or higher partial waves with relatively large widths.
The state at $4339.3$~MeV having $J^P=1/2^+$ is close to the mass of the newly observed
$P_c(4337)$ state. Although the width of this state here is larger than
that of the $P_c(4337)$ state, which is about 29~MeV, the situation may change
after adjusting the cut-offs to the experimental data.
Similarly, the state at $4386.0$~MeV with $J^P=5/2^+$, which also
has a large width, could be related to the broad $P_c(4380)$ state proposed in 2015,
where the preferred spin is $3/2$ or $5/2$~\cite{LHCb:2015yax}.
In Ref.~\cite{LHCb:2019kea}, the existence of $P_c(4380)$ is weakened but not ruled out.
Furthermore, we see inconclusive indications for  two poles with even larger
imaginary parts in the $D_{13}$ and $D_{15}$ partial waves, which are not listed
in Table~\ref{Tab:other_poles}.

\begin{table}[htbp]
    \centering
    \renewcommand\arraystretch{1.5}
    \caption{Pole positions $z_R$ and spin-parities $J^P$ for the states in other partial waves.
      Some poles with even larger widths are not listed.\label{Tab:other_poles}}
    \begin{tabular}{p{1.1cm}<{\centering}|p{2.9cm}<{\centering}}
        \hline
        \hline
        $J^P$ & $z_R$[MeV] \\
        \hline
        $\frac12^+$ & $4339.3-i106.3$ \\
        \hline
        $\frac32^+$ & $4401.4-i128.8$ \\
        \hline
        $\frac32^+$ & $4463.1-i90.1$ \\
        \hline
        $\frac52^+$ & $4386.0-i95.2$ \\
        \hline
        $\frac72^-$ & $4430.8-i214.1$ \\
        \hline
        \hline
    \end{tabular}
\end{table}

\section{Summary} \label{Sec:summary}

Based on the previous exploratory study, we extend the J\"ulich-Bonn dynamical coupled-channel
model to the hidden charm sector with more channels taken into account. The channels included
here are $\bar{D} \Lambda_c$, $\bar{D} \Sigma_c$, $\bar{D}^* \Lambda_c$, $\bar{D}^* \Sigma_c$,
$\bar{D} \Sigma_c^*$. Predictions of partial-wave amplitudes are provided with possible
dynamically generated poles examined. A series of bound states and resonances that can
be assigned to the hidden-charm pentaquarks found by LHCb with different spin and parity are generated.
Four $S$-wave bound states with isospin $I=1/2$, whose widths are between 5 to 15~MeV, are
found in the mass range of the experimentally observed $P_c$ states. The $\bar{D} \Sigma_c$
bound state at $z_R=4312.43-i2.9$~MeV with $J^P=1/2^-$ can be assigned to the $P_c(4312)$ state.
The one at $z_R=4375.89-i7.6$~MeV is regarded as a $\bar{D}\Sigma_c^*$ bound state with
$J^P=3/2^-$, since its coupling with this channel is the strongest, and its binding energy is
about 10~MeV. The other two $S$-wave states are treated as the $\bar{D}^*\Sigma_c$ bound states
with one having $J^P=1/2^-$ and the other having $J^P=3/2^-$. They are considered as the
experimentally observed $P_c(4440)$ and $P_c(4457)$ states. In higher partial waves, several
additional resonances with different spin and parity are also dynamically generated.
However, their decay widths are very large and need further confirmation by
fitting the free parameters of the model to experimental data. Such work is underway.

\section*{Acknowledgments}

We thank Yu-Fei Wang, Feng-Kun Guo, Jia-Jun Wu, Yu Lu and Fei Huang for useful discussions and valuable comments.
This work is supported by the NSFC and the Deutsche Forschungsgemeinschaft (DFG, German Research
Foundation) through the funds provided to the Sino-German Collaborative
Research Center TRR110 "Symmetries and the Emergence of Structure in QCD"
(NSFC Grant No. 12070131001, DFG Project-ID 196253076 - TRR 110), by the NSFC
Grant No.11835015, No.12047503,  by the Chinese Academy of Sciences (CAS) under Grant No.XDB34030000,
by  the  Chinese  Academy  of Sciences (CAS) President's  International  Fellowship  Initiative
(PIFI)  (grant  no.    2018DM0034) and by  VolkswagenStiftung (grant no.  93562).

\begin{appendix}

\section{Exchange potentials} \label{App:formalism}

We consider $t$-channel meson and $u$-channel baryon exchanges in this work.
The corresponding Feynman diagrams are shown in Fig.~\ref{Fig:tuchannel}, where the labeling
of the particles and the momenta are specified.

\begin{figure}[htbp]
    \subfigure[$\vec{q}=\vec{p}_1-\vec{p}_3$]{
        \includegraphics[width=0.4\linewidth]{t_channel.pdf}}
    \ \
    \subfigure[$\vec{q}=\vec{p}_1-\vec{p}_4$]{
        \includegraphics[width=0.4\linewidth]{u_channel.pdf}}
    \caption{$t$- and $u$-channel exchange processes. \label{Fig:tuchannel}}
\end{figure}

For each exchange diagram, there is a kinematic normalization factor, an isospin factor (IF) and
form factors $F_1$, $F_2$ in addition to the pseudo-potential ${\cal V}$.
The kinematic normalization factor is $N = \frac1{(2 \pi)^{3}} \frac1{2 \sqrt{\omega_2 \omega_4}}$.
The isospin factors (IF) is calculated using
\begin{align}
  IF(I) =& \sum_{m_1,m_2,m_3,m_4} \langle I_1 m_1 I_2 m_2 | I I_z \rangle \langle I_3 m_3 I_4 m_4 |
  I I_z \rangle \nonumber \\
  &\times \langle I_3 m_3 I_4 m_4 | M^{iso} | I_1 m_1 I_2 m_2 \rangle,
\end{align}
where the notations and details can be found in Ref.~\cite{Gasparyan:PhDthesis}.
All the isospin factors for involved processes are given in Table~\ref{Tab:if}.
Note that the baryon-first convention is always applied in the isospin calculation.
At each vertex, a form factor is applied, its specific form is given by
\begin{equation}\label{eq:ff}
        F(q)=\left(\frac{\Lambda^{2}-m_{e x}^{2}}{\Lambda^{2}+\vec{q}^{2}}\right)^{n},
\end{equation}
where $m_{ex}$, $\vec{q}$ and $\Lambda$ are the mass, the three-momentum of the exchanged particle
and the cut-off, respectively. The powers $n=1, 2$ correspond to monopole or dipole form factors.
For the $t$-channel pseduscalar and vector meson exchange, we use a dipole form factor,
i.e. $n=2$, while a monopole form factor is applied for $u$-channel $\Xi_{cc}$ exchange, i.e. $n=1$.
The transition amplitude is then expressed by
\begin{equation} \label{Eq:potential}
    V_{\lambda_{1}, \lambda_{2}, \lambda_{3}, \lambda_{4}}^{\vec{p}_{1}, \vec{p}_{2}, \vec{p}_{3}, \vec{p}_{4}} =
    N F_{1} F_{2}(\mathrm{IF}) \mathcal{V}.
\end{equation}
The detailed expressions of all the needed potentials in this work are presented below.

\begin{table}[]
    \centering
    \renewcommand\arraystretch{1.3}
    \caption{The isospin factors for all the involved processes in this work. \label{Tab:if}}
    \begin{tabular}{p{3.3cm}<{\centering}|p{1.8cm}<{\centering}|*{2}{p{1.2cm}<{\centering}}}
        \hline
        \hline
        Process & \makecell*{Exchanged\\Particle} & IF$\left(\frac12\right)$ & IF$\left(\frac32\right)$ \\
        \hline
        $\Lambda_c \bar{D}^{(*)} \to \Lambda_c \bar{D}^{(*)}$ & $\omega$ & 1 & 0 \\
            & $\Xi_{c c}$ & 1 & 0 \\
        $\Lambda_c \bar{D}^{(*)} \to \Sigma_c^{(*)} \bar{D}^{(*)}$ & $\pi/\rho$ & $-\sqrt{3}$ & 0 \\
            & $\Xi_{cc}$ & $\sqrt{3}$ & 0 \\
        $\Sigma_c^{(*)} \bar{D}^{(*)} \to \Sigma_c^{(*)} \bar{D}^{(*)}$ & $\eta / \eta^{\prime} / \omega$ & 1 & 1 \\
            & $\pi / \rho$ & -2 & 1 \\
            & $\Xi_{cc}$ & -1 & 2 \\
        \hline
        \hline
    \end{tabular}
\end{table}

\subsection{Amplitudes} \label{App:potential}

There are in total 15 different kinds of exchange pseudo-potentials ${\cal V}$ considered here.
As clarified in Eq.~(\ref{Eq:potential}), other factors including the normalization factor, isospin factors and form factors have been isolated.
Here, we present the explicit expressions of all the needed pseudo-potentials using the notations
in Fig.~\ref{Fig:tuchannel}.
\begin{widetext}
\begin{description}
    \item[Type 1]: $BP \to BP$ via vector meson exchange,
    \begin{equation}
        {\cal V} = - g_a g_b {\bar u}_3
        \left( \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} q_{\nu}}{z-\omega_t-\omega_2-E_3}
		+ \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} \tilde{q}_{\nu}}{z-\omega_t-E_1-\omega_4} \right)
		\frac{(p_2+p_4)_\mu}{2\omega_t} u_1.
    \end{equation}
    \item[Type 2]: $BP \to BP$ via baryon exchange,
    \begin{equation}
    	{\cal V} = \frac{g_a g_b}{m_P^2} {\bar u}_3 \gamma^5 \Slash{p}_2
    	\left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4} +\frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right)
    	\frac1{2E_u} \gamma^5 \Slash{p}_4 u_1.
    \end{equation}
    \item[Type 3]: $BP\to BV$ via pseudoscalar meson exchange,
    \begin{equation}
		{\cal V} = i \frac{g_a g_b}{m_P} {\bar u}_3 \gamma^5 \left( \frac{\Slash{q} (p_2-q)_\mu}{z-\omega_t-\omega_2-E_3}
		+\frac{\tilde{\Slash{q}} (p_2-\tilde{q})_\mu}{z-\omega_t-E_1-\omega_4} -2\omega_t\gamma^0\delta^0_\mu \right)
		\frac1{2\omega_t} u_1 \epsilon_4^{* \mu}.
    \end{equation}
    \item[Type 4]: $BP\to BV$ via vector meson exchange,
    \begin{equation}
		{\cal V} = \frac{g_a g_b}{m_V} {\bar u}_3
        \left( \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} q_{\nu}}{z-\omega_t-\omega_2-E_3}
		+ \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} \tilde{q}_{\nu}}{z-\omega_t-E_1-\omega_4} \right)
		\frac1{2\omega_t} u_1 \epsilon_{\alpha \beta \lambda \mu} p_4^\alpha \epsilon_4^{* \beta} p_2^\lambda.
    \end{equation}
    \item[Type 5]: $BP\to BV$ via baryon exchange,
    \begin{equation}
		{\cal V} = -i \frac{g_a g_b}{m_P} {\bar u}_3 \gamma^5 \Slash{p}_2
		\left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4} +\frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right)
        \frac1{2E_u} (\gamma^\mu -i\frac{\kappa}{2m} \sigma^{\mu \nu} p_{4 \nu}) \epsilon_{4 \mu}^* u_1.
    \end{equation}
    \item[Type 6]: $BP\to DP$ via vector meson exchange,
    \begin{equation}
		{\cal V} = \frac{g_a g_b}{m_V} {\bar u}_3^{\mu} \gamma^5
		\left( \frac{\gamma_\nu q_\mu - \Slash{q} g_{\mu \nu}}{z-\omega_t-\omega_2-E_3}
		+ \frac{\gamma_\nu \tilde{q}_\mu - \tilde{\Slash{q}} g_{\mu \nu}}{z-\omega_t-E_1-\omega_4} \right)
		\frac{(p_2+p_4)^\nu}{2\omega_t} u_1.
    \end{equation}
    \item[Type 7]: $BP\to DP$ via baryon exchange,
    \begin{equation}
		{\cal V} = \frac{g_a g_b}{m_P^2} {\bar u}_3^{\mu} \left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4}
		+\frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right) \frac{p_{2 \mu}}{2E_u} \gamma^5 \Slash{p}_4 u_1.
    \end{equation}
    \item[Type 8]: $BV\to BV$ via vector meson exchange,
    \begin{equation}
    	{\cal V} = - g_a g_b {\bar u}_3 \Big[ \frac{(\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} q_{\nu})
    	[\epsilon_2^\nu \epsilon_{4 \mu}^* (p_4+q)_\nu - \epsilon_2^\nu \epsilon_{4 \nu}^* (p_2+p_4)_\mu
    	+ \epsilon_{2 \mu} \epsilon_4^{* \nu} (p_2-q)_\nu] }{z-\omega_t-\omega_2-E_3} + \frac{q \to \tilde{q}}{z-\omega_t-E_1-\omega_4} \Big] \frac1{2\omega_t} u_1.
    \end{equation}
    \item[Type 9]: $BV\to BV$ via pseudoscalar meson exchange,
    \begin{equation}
		{\cal V} = -i \frac{g_a g_b}{m_P m_V} {\bar u}_3 \gamma^5
		\left( \frac{\Slash{q}}{z-\omega_t-\omega_2-E_3} + \frac{\tilde{\Slash{q}}}{z-\omega_t-E_1-\omega_4} \right)
		\frac1{2\omega_t} u_1 \epsilon_{\mu \nu \lambda \tau} p_2^\mu \epsilon_2^\nu p_4^\lambda \epsilon_4^{* \tau}.
    \end{equation}
    \item[Type 10]: $BV\to BV$ via baryon exchange,
	\begin{equation}
		{\cal V} = g_a g_b {\bar u}_3 (\Slash{\epsilon}_2 +i\frac{\kappa}{2m} \sigma^{\mu \nu} p_{2 \nu} \epsilon_{2 \mu})
		\left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4} +\frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right) \frac1{2E_u} (\Slash{\epsilon}_4^* -i\frac{\kappa}{2m} \sigma^{\alpha \beta} p_{4 \beta} \epsilon_{4 \alpha}^*) u_1.
	\end{equation}
    \item[Type 11]: $BV\to DP$ via pseudoscalar meson exchange,
    \begin{equation}
		{\cal V} = i \frac{g_a g_b}{m_P} {\bar u}_3^{\mu} \left( \frac{q_\mu (p_4+q)_\nu}{z-\omega_t-\omega_2-E_3}
		+ \frac{\tilde{q}_\mu (p_4+\tilde{q})_\nu}{z-\omega_t-E_1-\omega_4}
		+ 2\omega_t \delta_\mu^0 \delta_\nu^0 \right) \frac1{2\omega_t} u_1 \epsilon_2^\nu.
    \end{equation}
    \item[Type 12]: $BV\to DP$ via vector meson exchange,
    \begin{equation}
		{\cal V} = \frac{g_a g_b}{m_V^2} {\bar u}_{3,\mu} \gamma^5
		\left( \frac{(\gamma^\beta q^\mu - \Slash{q} g^{\mu \beta})q^\alpha}{z-\omega_t-\omega_2-E_3}
		+ \frac{(\gamma^\beta \tilde{q}^\mu - \tilde{\Slash{q}} g^{\mu \beta})\tilde{q}^\alpha}{z-\omega_t-E_1-\omega_4} \right)
		\frac1{2\omega_t} u_1 \epsilon_{\alpha \beta \lambda \tau} p_2^\lambda \epsilon_2^\tau.
    \end{equation}
    \item[Type 13]: $BV\to DP$ via baryon exchange,
    \begin{equation}
		{\cal V} = i \frac{g_a g_b}{m_P m_V} {\bar u}_3^{\mu} \gamma^5 (p_{2 \mu}\Slash{\epsilon}_2 - \epsilon_{2 \mu} \Slash{p}_2)
		\left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4} +\frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right) \frac1{2E_u} \gamma^5 \Slash{p}_4 u_1.
    \end{equation}
    \item[Type 14]: $DP\to DP$ via vector meson exchange,
    \begin{equation}
		{\cal V} = g_a g_b {\bar u}_3^{\tau}
		\left( \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} q_{\nu}}{z-\omega_t-\omega_2-E_3}
		+ \frac{\gamma^\mu - i \frac{\kappa}{2m} \sigma^{\mu \nu} \tilde{q}_{\nu}}{z-\omega_t-E_1-\omega_4} \right)
		\frac{(p_2+p_4)_\mu}{2\omega_t} u_{1,\tau}.
    \end{equation}
    \item[Type 15]: $DP\to DP$ via baryon exchange,
    \begin{equation}
		{\cal V} = \frac{g_a g_b}{m_P^2} {\bar u}_3^{\mu} \left( \frac{\Slash{q}+m}{z-E_u-\omega_2-\omega_4}
		+ \frac{\tilde{\Slash{q}}+m}{z-E_u-E_1-E_3} \right)	\frac{p_{2 \mu} p_{4 \nu}}{2E_u} u_1^{\nu}.
    \end{equation}
\end{description}
\end{widetext}
Here, $q$ is the exchanged momentum in the first time ordering and $\tilde{q}$ means the
second time ordering with $\tilde{q}^0=-q^0$.
The indices 1 and 3 (2 and 4) denote the incoming and outgoing baryon (meson).
$E_i$ and $\omega_i$ are the on-shell energies for a baryon and a meson, respectively.
A ``type'' number is introduced to identify which potential each process corresponds to.

In Table~\ref{Tab:sum}, we list all the processes with the exchanged particle considered
in the calculation, and the corresponding ``type'' of each specific process together with
the coupling constants $g_{a,b}$ and cut-off values in the form factor are also given.
Note that, for simplicity, we take one cut-off for each process, not for each vertex.
For the $t$-channel pseudoscalar meson exchange and $u$-channel baryon exchange, we take
a uniform value for the same exchanged particle. We adjust the cut-offs for the $t$-channel
vector meson exchanges to obtain positions of the dynamically generated poles near
the experimentally observed $P_c$ states. As mentioned above, here we emphasize again that our
numerical results depend on the cut-off values, and the results given in this work are for
this specific set of cut-offs.
In the cases where vector mesons couple to octet baryons and vector mesons couple to decuplet
baryons, there is also a tensor coupling $f_b=g_b \kappa$, which is not listed in Table~\ref{Tab:sum},
but should be consistent with the vector coupling $g_b$.
The explicit relations of the coupling constants $g$ are given below.

\begin{table}[htbp]
    \centering
    \renewcommand\arraystretch{1.16}
    \caption{The types of potentials, the couplings and the cut-offs in the form factor
      for all the considered processes with the exchanged particle (Ex). \label{Tab:sum}}
    \begin{tabular}{c|c|c|cc|c}
        \hline
        \hline
        Process & Ex & Type & $g_a$ & $g_b$ & $\Lambda$ [MeV] \\
        \hline
        $\Lambda_c \bar{D} \to \Lambda_c \bar{D}$ & $\omega$ & 1 & $g_{D D \omega}$ & $g_{\Lambda_c \Lambda_c \omega}$ & 2800 \\
         & $\Xi_{cc}$ & 2 & $g_{\Xi_{cc} \Lambda_c D}$ & $g_{\Xi_{cc} \Lambda_c D}$ & 3000 \\
        $\Lambda_c \bar{D} \to \Sigma_c \bar{D}$ & $\rho$ & 1 & $g_{D D \rho}$ & $g_{\Sigma_c \Lambda_c \rho}$ & 2800 \\
         & $\Xi_{cc}$ & 2 & $g_{\Xi_{cc} \Sigma_c D}$ & $g_{\Xi_{cc} \Lambda_c D}$ & 3000 \\
        $\Lambda_c \bar{D} \to \Lambda_c \bar{D}^*$ & $\omega$ & 4 & $g_{D^* \omega D}$ & $g_{\Lambda_c \Lambda_c \omega}$ & 1500 \\
         & $\Xi_{cc}$ & 5 & $g_{\Xi_{cc} \Lambda_c D}$ & $g_{\Xi_{cc} \Lambda_c D^*}$ & 3000 \\
        $\Lambda_c \bar{D} \to \Sigma_c \bar{D}^*$ & $\pi$ & 3 & $g_{D \pi D^*}$ & $g_{\Sigma_c \Lambda_c \pi}$ & 800 \\
         & $\rho$ & 4 & $g_{D^* \rho D}$ & $g_{\Sigma_c \Lambda_c \rho}$ & 1800 \\
         & $\Xi_{cc}$ & 5 & $g_{\Xi_{cc} \Sigma_c D}$ & $g_{\Xi_{cc} \Lambda_c D^*}$ & 3000 \\
        $\Lambda_c \bar{D} \to \Sigma_c^* \bar{D}$ & $\rho$ & 6 & $g_{D D \rho}$ & $g_{\Sigma_c^* \Lambda_c \rho}$ & 1800 \\
         & $\Xi_{cc}$ & 7 & $g_{\Sigma_c^* \Xi_{cc} D}$ & $g_{\Xi_{cc} \Lambda_c D}$ & 3000 \\
        $\Sigma_c \bar{D} \to \Sigma_c \bar{D}$ & $\rho$ & 1 & $g_{D D \rho}$ & $g_{\Sigma_c \Sigma_c \rho}$ & 2700 \\
         & $\omega$ & 1 & $g_{D D \omega}$ & $g_{\Sigma_c \Sigma_c \omega}$ & 2700 \\
         & $\Xi_{cc}$ & 2 & $g_{\Xi_{cc} \Sigma_c D}$ & $g_{\Xi_{cc} \Sigma_c D}$ & 3000 \\
        $\Sigma_c \bar{D} \to \Lambda_c \bar{D}^*$ & $\pi$ & 3 & $g_{D \pi D^*}$ & $g_{\Sigma_c \Lambda_c \pi}$ & 800 \\
         & $\rho$ & 4 & $g_{D^* \rho D}$ & $g_{\Sigma_c \Lambda_c \rho}$ & 1500 \\
         & $\Xi_{cc}$ & 5 & $g_{\Xi_{cc} \Lambda_c D}$ & $g_{\Xi_{cc} \Sigma_c D^*}$ & 3000 \\
        $\Sigma_c \bar{D} \to \Sigma_c \bar{D}^*$ & $\pi$ & 3 & $g_{D \pi D^*}$ & $g_{\Sigma_c \Sigma_c \pi}$ & 800 \\
         & $\eta$ & 3 & $g_{D \eta D^*}$ & $g_{\Sigma_c \Sigma_c \eta}$ & 1000 \\
         & $\eta^\prime$ & 3 & $g_{D \eta^\prime D^*}$ & $g_{\Sigma_c \Sigma_c \eta^\prime}$ & 1000 \\
         & $\rho$ & 4 & $g_{D^* \rho D}$ & $g_{\Sigma_c \Sigma_c \rho}$ & 1500 \\
         & $\omega$ & 4 & $g_{D^* \omega D}$ & $g_{\Sigma_c \Sigma_c \omega}$ & 1500 \\
         & $\Xi_{cc}$ & 5 & $g_{\Xi_{cc} \Sigma_c D}$ & $g_{\Xi_{cc} \Sigma_c D^*}$ & 3000 \\
        $\Sigma_c \bar{D} \to \Sigma_c^* \bar{D}$ & $\rho$ & 6 & $g_{D D \rho}$ & $g_{\Sigma_c^* \Sigma_c \rho}$ & 1500 \\
         & $\omega$ & 6 & $g_{D D \omega}$ & $g_{\Sigma_c^* \Sigma_c \omega}$ & 1500 \\
         & $\Xi_{cc}$ & 7 & $g_{\Sigma_c^* \Xi_{cc} D}$ & $g_{\Xi_{cc} \Sigma_c D}$ & 3000 \\
        $\Lambda_c \bar{D}^* \to \Lambda_c \bar{D}^*$ & $\omega$ & 8 & $g_{D^* D^* \omega}$ & $g_{\Lambda_c \Lambda_c \omega}$ & 2000 \\
         & $\Xi_{cc}$ & 10 & $g_{\Xi_{cc} \Lambda_c D^*}$ & $g_{\Xi_{cc} \Lambda_c D^*}$ & 3000 \\
        $\Lambda_c \bar{D}^* \to \Sigma_c \bar{D}^*$ & $\pi$ & 9 & $g_{D^* D^* \pi}$ & $g_{\Sigma_c \Lambda_c \pi}$ & 800 \\
         & $\rho$ & 8 & $g_{D^* D^* \rho}$ & $g_{\Sigma_c \Lambda_c \rho}$ & 3000 \\
         & $\Xi_{cc}$ & 10 & $g_{\Xi_{cc} \Sigma_c D^*}$ & $g_{\Xi_{cc} \Lambda_c D^*}$ & 3000 \\
        $\Lambda_c \bar{D}^* \to \Sigma_c^* \bar{D}$ & $\pi$ & 11 & $g_{D \pi D^*}$ & $g_{\Sigma_c^* \Lambda_c \pi}$ & 800 \\
         & $\rho$ & 12 & $g_{D^* \rho D}$ & $g_{\Sigma_c^* \Lambda_c \rho}$ & 1300 \\
         & $\Xi_{cc}$ & 13 & $g_{\Sigma_c^* \Xi_{cc} D^*}$ & $g_{\Xi_{cc} \Lambda_c D}$ & 3000 \\
        $\Sigma_c \bar{D}^* \to \Sigma_c \bar{D}^*$ & $\pi$ & 9 & $g_{D^* D^* \pi}$ & $g_{\Sigma_c \Sigma_c \pi}$ & 800 \\
         & $\eta$ & 9 & $g_{D^* D^* \eta}$ & $g_{\Sigma_c \Sigma_c \eta}$ & 1000 \\
         & $\eta^\prime$ & 9 & $g_{D^* D^* \eta^\prime}$ & $g_{\Sigma_c \Sigma_c \eta^\prime}$ & 1000 \\
         & $\rho$ & 8 & $g_{D^* D^* \rho}$ & $g_{\Sigma_c \Sigma_c \rho}$ & 2600 \\
         & $\omega$ & 8 & $g_{D^* D^* \omega}$ & $g_{\Sigma_c \Sigma_c \omega}$ & 1000 \\
         & $\Xi_{cc}$ & 10 & $g_{\Xi_{cc} \Sigma_c D^*}$ & $g_{\Xi_{cc} \Sigma_c D^*}$ & 3000 \\
        $\Sigma_c \bar{D}^* \to \Sigma_c^* \bar{D}$ & $\pi$ & 11 & $g_{D \pi D^*}$ & $g_{\Sigma_c^* \Sigma_c \pi}$ & 800 \\
         & $\eta$ & 11 & $g_{D \eta D^*}$ & $g_{\Sigma_c^* \Sigma_c \eta}$ & 1000 \\
         & $\eta^\prime$ & 11 & $g_{D \eta^\prime D^*}$ & $g_{\Sigma_c^* \Sigma_c \eta^\prime}$ & 1000 \\
         & $\rho$ & 12 & $g_{D^* \rho D}$ & $g_{\Sigma_c^* \Sigma_c \rho}$ & 1500 \\
         & $\omega$ & 12 & $g_{D^* \omega D}$ & $g_{\Sigma_c^* \Sigma_c \omega}$ & 1500 \\
         & $\Xi_{cc}$ & 13 & $g_{\Sigma_c^* \Xi_{cc} D^*}$ & $g_{\Xi_{cc} \Sigma_c D}$ & 3000 \\
        $\Sigma_c^* \bar{D} \to \Sigma_c^* \bar{D}$ & $\rho$ & 14 & $g_{D D \rho}$ & $g_{\Sigma_c^* \Sigma_c^* \rho}$ & 1700 \\
         & $\omega$ & 14 & $g_{D D \omega}$ & $g_{\Sigma_c^* \Sigma_c^* \omega}$ & 1700 \\
         & $\Xi_{cc}$ & 15 & $g_{\Sigma_c^* \Xi_{cc} D}$ & $g_{\Sigma_c^* \Xi_{cc} D}$ & 3000 \\
        \hline
        \hline
    \end{tabular}
\end{table}

\subsection{Coupling constants}\label{App:coupling}

The coupling constants for all the vertices in the calculation are related to
each other by SU(3) and SU(4) flavor symmetry~\cite{deSwart:1963pdg,Okubo:1975sc}.
The employed relations of the various coupling constants are given by
the following expressions:
\begin{itemize}
	\item Couplings for pseudoscalar meson, pseudoscalar meson and vector meson:
	\begin{align}\label{Eq:gPPV}
		g_{D D \rho}    &=   g_{PPV},		\nonumber \\
		g_{D D \omega}    &=   g_{PPV},		\nonumber \\
		g_{D \pi D^*}    &= - g_{PPV},		\nonumber \\
		g_{D \eta D^*}   &=  - \frac1{\sqrt{3}} g_{PPV},		\nonumber \\
		g_{D \eta^\prime D^*}  &= - \sqrt{\frac23} g_{PPV},		\nonumber \\
		g_{D D J/\psi}   &= - \sqrt{2} g_{PPV},
	\end{align}
	where $g_{PPV}=3.018$.
	\item Couplings for vector meson, vector meson and pseudoscalar meson:
	\begin{align}\label{Eq:gVVP}
		g_{D^* \rho D}   &=   \frac1{\sqrt{2}} g_{VVP},		\nonumber \\
		g_{D^* \omega D}   &=   \frac1{\sqrt{2}} g_{VVP},		\nonumber \\
		g_{D^* D^* \pi}   &=   \frac1{\sqrt{2}} g_{VVP},		\nonumber \\
		g_{D^* D^* \eta}  &=   \frac1{\sqrt{6}} g_{VVP},		\nonumber \\
		g_{D^* D^* \eta^\prime} &=   \frac1{\sqrt{3}} g_{VVP},		\nonumber	\\
		g_{D^* J/\psi D}  &=   g_{VVP},
	\end{align}
	where $g_{VVP}=-7.070$.
	\item Couplings for vector meson, vector meson and vector meson:
	\begin{align}\label{Eq:gVVV}
		g_{D^* D^* \rho}  &= - \frac1{\sqrt{2}} g_{VVV},		\nonumber \\
		g_{D^* D^* \omega}  &= - \frac1{\sqrt{2}} g_{VVV},		\nonumber \\
		g_{D^* D^* J/\psi} &=   g_{VVV},
	\end{align}
	where $g_{VVV}=2.298$.
    \item Couplings for octet baryon, octet baryon and pseudoscalar meson:
    \begin{align}\label{Eq:gBBP}
    	g_{\Lambda_c N D}  &=  - \frac{3\sqrt{3}}5 g_{BBP},		\nonumber \\
    	g_{\Sigma_c N D}   &=  \frac15 g_{BBP},\nonumber \\
    	g_{\Sigma_c \Lambda_c \pi} &=  \frac{2\sqrt{3}}5 g_{BBP},		\nonumber \\
    	g_{\Sigma_c \Sigma_c \pi}  &=  \frac45 g_{BBP},		\nonumber \\
    	g_{\Sigma_c \Sigma_c \eta} &=  \frac4{5\sqrt{3}} g_{BBP},		\nonumber \\
    	g_{\Sigma_c \Sigma_c \eta^\prime}  &=  \frac{4\sqrt{2}}{5\sqrt{3}} g_{BBP},		\nonumber \\
    	g_{\Xi_{cc} \Lambda_c D}   &=  \frac{\sqrt3}5 g_{BBP},		\nonumber \\
        g_{\Xi_{cc} \Sigma_c D}   &=  - g_{BBP},
    \end{align}
    where $g_{BBP}=0.989$.
	\item Vector couplings for octet baryon, octet baryon and vector meson:
	\begin{align}\label{Eq:gBBV}
		g_{\Lambda_c N D^*}     &= - \frac1{\sqrt{3}} g_{BBV} (1 + 2 \alpha_{BBV}),		\nonumber \\
	    g_{\Sigma_c N D^*}     &=   g_{BBV} (1 - 2 \alpha_{BBV}),		\nonumber \\
	    g_{\Lambda_c \Lambda_c \omega}   &=   \frac23 g_{BBV} (5 \alpha_{BBV} - 2),		\nonumber \\
	    g_{\Lambda_c \Lambda_c J/\psi}  &=   \sqrt{2} g_{BBV},		\nonumber \\
	    g_{\Sigma_c \Lambda_c \rho}   &=   \frac2{\sqrt{3}} g_{BBV} (1 - \alpha_{BBV}),		\nonumber \\
	    g_{\Sigma_c \Sigma_c \rho}   &=   2 g_{BBV} \alpha_{BBV},		\nonumber \\
	    g_{\Sigma_c \Sigma_c \omega}   &=   2 g_{BBV} \alpha_{BBV},		\nonumber \\
	    g_{\Sigma_c \Sigma_c J/\psi}  &=   \sqrt{2} g_{BBV},		\nonumber	\\
	    g_{\Xi_{cc} \Lambda_c D^*}  &=   \frac1{\sqrt{3}} g_{BBV} (4 \alpha_{BBV} - 1),		\nonumber \\
	    g_{\Xi_{cc} \Sigma_c D^*}  &= - g_{BBV},
	\end{align}
	where $g_{BBV}=3.249$, $\alpha_{BBV}=1.15$.
    \item Tensor couplings for octet baryon, octet baryon and vector meson:
    \begin{align}\label{Eq:fBBV}
    	f_{\Lambda_c N D^*}     &= - \frac1{2\sqrt{3}} f_{N N \omega} - \frac{\sqrt{3}}{2} f_{N N \rho},		\nonumber	\\
    	f_{\Sigma_c N D^*}     &= - \frac12 f_{N N \omega} + \frac12 f_{N N \rho},		\nonumber \\
    	f_{\Lambda_c \Lambda_c \omega}   &=   \frac56 f_{N N \omega} - \frac12 f_{N N \rho},		\nonumber \\
    	f_{\Lambda_c \Lambda_c J/\psi}  &=  0,		\nonumber	\\
    	f_{\Sigma_c \Lambda_c \rho}   &= - \frac1{2\sqrt{3}} f_{N N \omega} + \frac{\sqrt{3}}{2} f_{N N \rho},		\nonumber \\
    	f_{\Sigma_c \Sigma_c \rho}   &=   \frac12 f_{N N \omega} + \frac12 f_{N N \rho},		\nonumber \\
    	f_{\Sigma_c \Sigma_c \omega}   &=   \frac12 f_{N N \omega} + \frac12 f_{N N \rho},		\nonumber \\
    	f_{\Sigma_c \Sigma_c J/\psi}  &=   0,	\nonumber	\\
    	f_{\Xi_{cc} \Lambda_c D^*}  &=   0,	\nonumber	\\
    	f_{\Xi_{cc} \Sigma_c D^*}  &=   0,
    \end{align}
    where $f_{NN\rho}=19.819$, $f_{NN\omega}=0$.
	\item Couplings for decuplet baryon, octet baryon and pseudoscalar meson:
	\begin{align}\label{Eq:gBDP}
		g_{\Sigma_c^* N D}      &= - \frac1{\sqrt{6}} g_{BDP},		\nonumber \\
		g_{\Sigma_c^* \Lambda_c \pi}    &=   \frac1{\sqrt{2}} g_{BDP},		\nonumber \\
		g_{\Sigma_c^* \Sigma_c \pi}    &=   \frac1{\sqrt{6}} g_{BDP},		\nonumber \\
		g_{\Sigma_c^* \Sigma_c \eta}   &=   \frac1{2\sqrt{2}} g_{BDP},		\nonumber \\
		g_{\Sigma_c^* \Sigma_c \eta^\prime}  &=   \frac13 g_{BDP},		\nonumber \\
		g_{\Sigma_c^* \Xi_{cc} D}   &= - \frac1{\sqrt{6}} g_{BDP},
	\end{align}
	where $g_{BDP}=2.127$.
    \item Couplings for decuplet baryon, octet baryon and vector meson:
    \begin{align}\label{Eq:gBDV}
    	g_{\Sigma_c^* N D^*}     &= - \frac1{\sqrt{6}} g_{BDV},		\nonumber \\
    	g_{\Sigma_c^* \Lambda_c \rho}   &=   \frac1{\sqrt{2}} g_{BDV},		\nonumber \\
    	g_{\Sigma_c^* \Sigma_c \rho}   &=  \frac1{\sqrt{6}} g_{BDV},		\nonumber \\
    	g_{\Sigma_c^* \Sigma_c \omega}   &= - \frac1{\sqrt{6}} g_{BDV},		\nonumber \\
    	g_{\Sigma_c^* \Sigma_c J/\psi}  &= - \frac1{\sqrt{3}} g_{BDV},		\nonumber \\
    	g_{\Sigma_c^* \Xi_{cc} D^*}  &= - \frac1{\sqrt{6}} g_{BDV},
    \end{align}
    where $g_{BDV}=16.031$.
	\item Vector and tensor couplings for decuplet baryon, decuplet baryon and vector meson:
	\begin{align}\label{Eq:gDDV}
		g_{\Sigma_c^* \Sigma_c^* \rho}  &=   2 g_{DDV},		\nonumber \\
		g_{\Sigma_c^* \Sigma_c^* \omega}  &=   2 g_{DDV},		\nonumber \\
		f_{\Sigma_c^* \Sigma_c^* \rho}  &=   \frac12 \kappa_\rho g_{DDV},		\nonumber \\
		f_{\Sigma_c^* \Sigma_c^* \omega}  &=   \frac12 \kappa_\rho g_{DDV},
	\end{align}
	where $g_{DDV}=7.674$ and $\kappa_{\rho}=6.1$~\cite{Mergell:1995bf}.
\end{itemize}

\end{appendix}

\bibliographystyle{plain}

redpajama_set_name: RedPajamaArXiv


text:
Sunday, Sept. 21
1792: The French National Convention voted to abolish the monarchy.
1893: One of America's first horseless carriages was taken for a short test drive in Springfield, Massachusetts, by Frank Duryea, who had designed the vehicle with his brother, Charles.
1897: The New York Sun ran its famous editorial, written anonymously by Francis P. Church, which declared, "Yes, Virginia, there is a Santa Claus."
1912: Magician Harry Houdini first publicly performed his "Water Torture Cell" trick at the Circus Busch in Berlin.
1938: A hurricane struck parts of New York and New England, causing widespread damage and claiming some 700 lives.
1948: Milton Berle made his debut as permanent host of "The Texaco Star Theater" on NBC-TV.
1957: Norway's King Haakon VII died in Oslo at age 85. The legal mystery-drama "Perry Mason," starring Raymond Burr, premiered on CBS-TV.
1964: Malta gained independence from Britain.
1970: "NFL Monday Night Football" made its debut on ABC-TV as the Cleveland Browns defeated the visiting New York Jets, 31-21.
1982: Amin Gemayel, brother of Lebanon's assassinated president-elect, Bashir Gemayel, was himself elected president. National Football League players began a 57-day strike, their first regular-season walkout ever.
1987: NFL players called a strike, mainly over the issue of free agency. (The 24-day walkout prompted football owners to hire replacement players.)
1989: Hurricane Hugo crashed into Charleston, South Carolina (the storm was blamed for 56 deaths in the Caribbean and 29 in the United States). Twenty-one students in Alton, Texas, died when their school bus, hit by a soft-drink delivery truck, careened into a water-filled pit.
1991: An 18-hour hostage drama ended in Sandy, Utah, as Richard L. Worthington, who'd seized control of a hospital maternity ward and killed a nurse, finally freed his nine captives, including a baby born during the siege. (Worthington committed suicide in prison in 1993.)
2004: President George W. Bush, defending his decision to invade Iraq, urged the U.N. General Assembly to stand united with the country's struggling government. Yusuf Islam, formerly known as Cat Stevens, was taken off a London-to-Washington United Airlines flight because his name had shown up on a government "no-fly" list. (Islam's brother and business manager, David Gordon, denied the singer had any ties to suspected terrorists.) The death toll in Haiti from deluges caused by Tropical Storm Jeanne topped 700.
2009: Record flooding hit the Atlanta area, leaving neighborhoods, schools and even sections of roller coasters submerged in several feet of water. Deposed President Manuel Zelaya (zuh-LY'-uh) of Honduras defied threats of arrest and returned to his country, three months after he was forced into exile. (Zelaya took shelter at the Brazilian Embassy for four months until he was allowed to fly to the Dominican Republic.)
2013: Days after mass shootings in Washington and Chicago, President Barack Obama urged the Congressional Black Caucus Foundation to help push stalled legislation out of Congress so dangerous people wouldn't get their hands on guns. Islamic militants attacked an upscale shopping center in Nairobi, killing at least 67 people in the deadliest terrorist attack in Kenya in 15 years. An Afghan wearing a security forces uniform turned his weapon against U.S. troops, killing three in eastern Afghanistan.
Birthdays: Poet-songwriter Leonard Cohen is 80. Author-comedian Fannie Flagg is 73. Producer Jerry Bruckheimer is 71. Musician Don Felder is 67. Author Stephen King is 67. Basketball Hall of Famer Artis Gilmore is 65. Actor-comedian Bill Murray is 64. Hall of Fame jockey Eddie Delahoussaye is 63. Rock musician Philthy Animal is 60. Former Australian Prime Minister Kevin Rudd is 57. Movie producer-writer Ethan Coen is 57. Actor-comedian Dave Coulier is 55. Actor David James Elliott is 54. Actress Serena Scott-Thomas is 53. Actress Nancy Travis is 53. Actor Rob Morrow is 52. Retired MLB All-Star Cecil Fielder is 51. Actress Cheryl Hines is 49. Country singer Faith Hill is 47. Rock musician Tyler Stewart (Barenaked Ladies) is 47. Country singer Ronna Reeves is 46. Actress-talk show host Ricki Lake is 46. Rapper Dave (De La Soul) is 46. Actor Rob Benedict is 44. Actor James Lesure is 43. Actor Alfonso Ribeiro is 43. Actor Luke Wilson is 43. Actor Paulo Costanzo is 36. Actor Bradford Anderson is 35. Actress Autumn Reeser is 34. TV personality Nicole Richie is 33. Actress Maggie Grace is 31. Actor Joseph Mazzello is 31. Actress Ahna O'Reilly is 30. Rapper Wale (WAH'-lay) is 30. Actors Lorenzo and Nikolas Brino are 16.
Thought for Today: "All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident." — Arthur Schopenhauer, German philosopher (born 1788, died this date in 1860).

redpajama_set_name: RedPajamaCommonCrawl


text:
Walter Seifert ist der Name folgender Personen:

* Walter Seifert (SS-Mitglied) (1895–1956), deutscher SS-Führer
 Walter Seifert (Komponist) (1898–1982), deutscher Kapellmeister und Komponist
 Walter Seifert (Grafiker) (1904–1983), deutscher Grafiker
 Walter Seifert (1921–1964), deutscher Amokläufer, siehe Attentat von Volkhoven#Täter

redpajama_set_name: RedPajamaWikipedia


text:
Home > Gifts for Her > Product
Exclusive 24 karat pure gold inscription
Heart shaped Cubic Zirconia (21mm x 17mm including the bail)
14k Yellow Gold bail
Sterling silver 3 microns gold plated (Vermeil) Italian Singapore chain, 18" (45cm) - Standard Size for Women
Celebrate her birthday in style with this 14 karat gold necklace!
Amazing gift for her comes with an elegant magnifying glass inside a lavish box
Picking out a gift that conveys how much you treasure your wife needn't be difficult if you keep in mind that it should come from your heart and speak to hers. A simple message presented by a tasteful gift for a woman can mean more than you know, and this dainty gold necklace is a prime example of how powerful a message it can send.
Unlike other wife birthday ideas you could find anywhere else, this is a genuinely meaningful necklace whose high quality and deeper meaning are hard to surpass. She'll be convinced of the former as soon as she runs her fingers over its fine Italian chain. You can impress her with the latter by pointing out that the inscription on its vibrant Cubic zirconia gem is made with pure 24k gold in a way that makes it last forever. A unique thing about this is that literally no one else in the world can create such intricate golden designs, making its uniqueness more than just an idle boast. The imprint will let her explore love in different languages as it reads "I Love You" in 12 of them.
Tracing every delicate line of the golden script won't be a problem as we've also included a custom-made magnifying glass with the package. Speaking of which, it wouldn't be much of a romantic wife birthday idea without a splendid box to put it in, and we've got your back on that one too. All that's left is to organize the perfect party and make this wonderful gift the centerpiece of a night she won't soon forget
"I Love You" in 12 Languages
14k Gold Necklace Zirconia 14k Gold Necklace - Zirconia
Color Clear Crystal Violet Light Amethyst Red Garnet Turquoise Blue-Topaz Black Jet


text:
Despite Layoffs, Filson Says US Manufacturing Facilities Will Remain
By Liz Warren
Liz Warren
More Stories by Liz
Report: Companies Prioritize SDGs But Lack Action
Fashion For Good Launches Consortium Dedicated to Dry Textile Processing
Why One Gen Z-Led Retailer is Limiting Orders Per Customer
FIlson @filson1897/Instagram
Known for its expertly crafted outerwear manufactured in the U.S., Filson has reportedly laid off a number of workers across its manufacturing, customer service, repairs and returns teams within its Seattle and Kent, Wa. facilities.
According to The Seattle Times, 56 workers—38 of which were union manufacturing employees—were laid off last month. A spokesperson for the brand's parent company, Bedrock Manufacturing, denied rumors that the company plans to close its Washington-based production facilities next summer.
At the start of the year, the 124-year-old company welcomed Paolo Corinaldesi as its sixth CEO. His appointment was intended to further the company's aggressive goals for this year, which included international expansion and new product offerings like its first-ever denim line, which launched at the end of 2020. The three-piece men's collection consisted of jeans made with Italian and Japanese selvedge denim. The collection underscored the brand's Made in the U.S. ethos, which incorporates "the finest available materials" to ensure premium quality and minimal waste.
The debut was considered strategic at the time, as the Covid-19 pandemic triggered a demand for locally produced goods, confirmed by data from the Reshoring Institute that showed nearly 60 percent of Americans said they would pay more for American-made products. Rugged and durable denim was a natural next step for the brand, which got its start producing outerwear for miners, hunters, anglers, engineers and explorers.
Boosting Made in America manufacturing is a top priority in the pandemic's aftermath, and the U.S. government is doing its part to increase self-reliance. In January, President Biden issued an executive order to support domestic manufacturers, businesses and workers. The move was intended to make Buy American real and close loopholes that allow companies to offshore production and jobs while still qualifying for domestic preferences.
Corinaldesi confirmed that Filson's Seattle facilities would remain intact and told The Seattle Times that the brand has "spent years finding the best partners to scale production based on the popularity and growth of its core heritage styles" and will continue to do so.
G-Star Raw Debuts "Rhythm of Denim" Campaign
Wrangler Doubles Down on Outdoor Market With Roark Collaboration
Denim Brands Unleash Tiger Collections for Lunar New Year
Rag & Bone Debuts 'Future Staples' Collection


The Clinton Administration announced today that it will take action to ensure that farmers preparing for spring planting will not lose access to the Department of Agriculture's loan programs, which are running short of funds. The FY99 supplemental appropriations bill proposed by President Clinton on February 26th would make $152 million available for credit and other programs needed by farmers. Congress did not enact the supplemental before leaving Washington for a two-week recess. To avoid running out of funds for loans until Congress can return and act on the legislation, USDA Secretary Dan Glickman will be transferring $30 million - which will provide for more than $300 million in additional loans --- within the Farm Services Agency to provide for uninterrupted service to farm families' loans.
In addition, USDA is allocating $1 million in funds to make sure that FSA temporary employees are kept on board to help staff the offices that process emergency assistance applications from farmers.
their high-interest mortgages to lower their operating costs.
accounts only through the middle of April. To avoid layoffs and service cuts, Congress will need to pass the supplemental appropriations bill promptly upon its return from the recess.


We are not designed to sit. We are designed to move. I know. You've heard it all before – we've all heard it all before: "sitting is the new smoking." The health messages about the importance of use-it-or-lose-it are often heard, if not well heeded. But while training to stay on track with aerobic fitness is just one aspect of the impact of movement in our lives, science has discovered the importance of diversity of movement and how that interacts with our brain. Critical to our ability to learn and adapt, proper movement and enrichment is essential at all stages of life. Movement with intention and purpose. Movement with imagination. Movement that tunes you in. And works you out. Movement that loosens and lightens from the inside out.
From newborn to older age and beyond, movement gets to the core of who we are, creating and strengthening brain connections and creating the optimal conditions for neural plasticity: the ability of the brain to change. Body movement and learning ability interact and work together. Patterns of movement from our earliest days begin to establish an understanding of the world and our relationship within it that the brain builds on for ordering and understanding higher concepts. Our body's vestibular system, used to control our balance and spatial awareness, gives us the ability to move within a physical space and put words and letters on a page. As small infants, walking or crawling in particular patterns enhanced our brain's ability to work with symbols and strengthened our visual capacities.
The brain is a complex structure. More parts of the brain "light up," or are used, when a person is moving or physically active.
Agata Commisso is a certified trainer, wellness practitioner and laughter coach with over 10 years experience in community education. For several years Agata lived and traveled broadly overseas and her love of culture, food and language enables her to connect with people from all walks of life. As a natural communicator with a trademark bubbly personality Agata's classes always include fun, playful elements as well as valuable skills for living. Agata's belief in laughter as an antidote to life's troubles extends over more than 20 years. At Lighten her work combines intentional play, laughter & movement to help clients reconnect with and develop all their abilities, rather than accepting and adapting to their limitations.


text:
Hope Motorsports Group
Hope Visitor Guide
Randy William Downes, convicted of voyeurism last June, is to be sentenced Feb. 4 in New Westminster. (File photo)
Former Surrey kids coach 'ostracized' after voyeurism charges to be sentenced Feb. 4
Crown wants one-day sentence for Randy William Downes, defence argues for conditional discharge
A former children's coach convicted of voyeurism in connection with more than three dozen photos taken of boys in Surrey and Coquitlam sports-facility dressing rooms is to learn his penalty in B.C. Supreme Court in New Westminster next month.
Following a sentencing hearing Friday (Jan. 10), Justice Heather MacNaughton set Feb. 4 to render her decision in the case against Randy William Downes.
"Obviously, this is not a decision that I'm going to make lightly, nor is it something I'm going to do this evening," MacNaughton said at the conclusion of the day-long hearing.
READ MORE: Sentencing hearing underway for coach who photographed boys in Surrey, Coquitlam changerooms
Downes, who was 59 at the time of his arrest, was convicted last June of two counts of voyeurism, in connection with photos taken in June 2013 and August 2015. During trial, prosecutors relied on 38 photos of two young boys, out of thousands linked to facilities, including South Surrey Arena, found on electronic devices seized from Downes' Coquitlam home by RCMP acting on a search warrant.
None of the photos were pornographic, the judge noted at trial.
One of the two boys was 13 when he played hockey on a team Downes coached, and the other was 12 and played hockey and baseball on teams Downes coached, the court heard. Both are now adults, and testified that they were not aware that the photos had been taken.
There is a publication ban on information that could identify the complainants and certain witnesses.
In court Friday, prosecutor Gail Barnes, noting Downes has already spent 200 days in custody – 300, when enhanced credit is applied – submitted an additional day in jail would be appropriate, as well as three years probation and other conditions, including forfeiture of certain electronic items if the equipment cannot be "scrubbed."
Defence counsel Glen Orris contended the case "does not call for a custodial term." He suggested a suspended sentence – or even a conditional discharge – and no more than a year's probation would be more fitting.
In making the argument, Orris pointed to the "public fallout" Downes has dealt with since charges were first announced in October 2016, and made particular note of the impact caused by the initial announcement that the charges included possession of child pornography; charges that were ultimately dropped.
Orris said RCMP held press conferences and made representations about his client that were "simply false."
"Mr. Downes was effectively ostracized," Orris said. "Your ladyship knows, when those allegations are made, there's no presumption of innocence."
Orris also objected to conditions proposed by Crown for Downes, which include sex-offender counselling and restrictions on volunteer work, describing the latter as unnecessary and the former as "simply a statement that the Crown asks you to impose acknowledging that he is a sexual offender… and that's not what this case is about."
Orris filed letters of support from friends and fellow coaches of Downes, as well as a number from young people Downes had coached, and noted that his client also wanted to address the court before he was sentenced.
Barnes said she was opposed to a conditional discharge – which would result in no criminal conviction, provided Downes does not breach any imposed conditions – "in very strenuous terms," arguing that defence counsel "has not dealt with how it is in the public interest."
She also took issue with what she found were "quite remarkable" comments in some of the support letters. She highlighted that one writer had described the evidence as a mistake.
"He made a mistake 38 times, and then he made a mistake when he cropped (the photos) and saved them," she said. "So it wasn't an isolated event."
She said the "as-directed" counselling was proposed as Downes "seems not to know why he took the pictures."
"Most people don't take surreptitious pictures of children in a changeroom, in their underwear," she said. "So if Mr. Downes doesn't know what his motivation is, maybe he'll get some insight."
tholmes@peacearchnews.com
Special prosecutor to review Cranbrook toddler drowning case
VIDEO: Snow leads to stranded cars, closed schools and chaos on Lower Mainland roads
Winter weather plays havoc on teams traveling to Hope
Road conditions and crashes kept some players from Mustangs' tournament
VIDEO: Time's running out for Montreal Alumni tickets in Hope
Habs will face off against Hope hockey players on Saturday afternoon
RCMP looking for tips in rash of crime in Hope
Theives broke into homes and cars in the Kawkawa Lake area
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text:
package com.jgrillo.wordcount.api;

import com.fasterxml.jackson.core.JsonParser;
import com.fasterxml.jackson.core.JsonToken;
import com.fasterxml.jackson.databind.DeserializationContext;
import com.fasterxml.jackson.databind.deser.std.StdDeserializer;
import com.google.common.collect.ImmutableMap;

import java.io.IOException;

public final class CountsDeserializer extends StdDeserializer<Counts> {

    public CountsDeserializer() {
        this(Counts.class);
    }

    private CountsDeserializer(Class<Counts> t) {
        super(t);
    }

    @Override
    public Counts deserialize(
            JsonParser jsonParser, DeserializationContext deserializationContext
    ) throws IOException {
        final ImmutableMap.Builder<String, Long> mapBuilder = ImmutableMap.builder();

        JsonToken token;
        boolean started = false;
        boolean stopped = false;
        while ((token = jsonParser.nextToken()) != null) {
            if (stopped) {
                break;
            }

            switch (token) {
                case START_OBJECT:
                    break;
                case FIELD_NAME:
                    if (started) {
                        break;
                    }

                    final String name = jsonParser.getCurrentName();
                    if (name.equals(Counts.COUNTS_PROP)) {
                        started = true;
                        break;
                    } else {
                        throw new CountsProcessingException(
                                String.format("Encountered unknown field: \"%s\"", name),
                                jsonParser.getCurrentLocation()
                        );
                    }
                case VALUE_NUMBER_INT:
                    if (started) {
                        mapBuilder.put(jsonParser.getCurrentName(), jsonParser.getLongValue());
                    }
                    break;
                case END_OBJECT:
                    stopped = true;
                    break;
                default:
                    throw new CountsProcessingException("Encountered unknown state", jsonParser.getCurrentLocation());
            }
        }

        return new Counts(mapBuilder.build());
    }
}

redpajama_set_name: RedPajamaGithub


Also include potential strategies to assist in avoidance of such lawsuits. Describe common threats against contemporary information systems in your organization. The project proposal summary is intended to describe high-level elements of the project.
If you were developing a business continuity plan for your company, where would you start? What direct marketing tools does your organization use? Through an approved articulation agreement, students who have successfully completed equivalent courses may waive, without credits, up to thirty 30 credits of the required course of study.
Discuss how your organization creates value through the marketing process. IF you were to start or your business or if you already have started your own business what type of legal form would you use? Explain how informed consent, legislation, industry self-regulation, and technology tools help protect the individual privacy of Internet users.
Conduct a SWOT analysis for your organization. Distinguish between data and information and between information systems literacy and computer literacy. What aspects of the business would the plan address?
Choose two different types of companies or UOP virtual organizations with which you are familiar and provide examples of an operating revenue, a nonoperating revenue, and an operating expense for that company.
Define these terms Review Chapter 9 in your eBook. Review Chapter 2 in your eBook. Which, in your opinion, are the most effective, least effective? No income tax is assessed at the entity level as the members are considered to be running a personal business.
BSA Week 4 Learning Team Bubble Films Status Report Submit a 1- to 2-page team status report to your instructor explaining what your team accomplished during the Week, research sources being considered challenges your team faced and potential approaches to the final Learning Team project Students must substitute other upper division coursework to satisfy the upper division credit requirement of their degree program.
To ensure that students have the requisite skills for specific coursework certain program areas must be satisfied before students can progress to others.Courses requiring prerequisites are identified by a ~ symbol following the course number.
BSIT Required Course of Study. GEN 3 credits. BSA ~ 3 credits. Business Systems. BSA ~ 3 credits. Fundamentals of Business Systems Development.
CMGT ~ 3 credits. Project Planning & Implementation. DBM ~ 3 credits. Database Concepts. Labels: bsa cadet rifle, bsa cadet rifle for sale, bsa week 1 system inventory, bsa week 2 kudler, bsa week 2 service request, bsa week 3 individual assignment, bsa week 5 Home.
Complete the table in the 1-page Organization System Inventory document for the Virtual Organization Kudler Fine Foods. Include common business systems that support business units, such as Accounting and Finance, Human Resources, Sales, Marketing, and Information Security. BSA Week 1 Discussion Question 1.
For more course tutorials visit. agronumericus.com Computer business systems have been around for 40 years. Desktop computers have been around for 20 years. BSA Entire Course / Business Systems. System Inventory located on the student website and select one option to complete the assignment.
BSA Week 1 Supporting Activity Business Integration Levels. Write an informative memo to a business owner that is beginning to grow.
Explain how owner's equity can be determined.
A "business system", as defined by Georgetown University, is "a combination of people and automated applications organized to meet a particular set of business objectives.


text:
They Are Avid Travelers Bringing Like-Minded Women Together
Mar Pages and Megan Jerrard are the founders of Solo Female Travelers, an online community and tour company offering small curated group trips for women.
Mar Pages and Megan Jerrard are two women who are passionate about traveling. Seven years ago they decided to start an online community for women like themselves, who often travel on their own: Solo Female Travelers. There were resources, travel tips and FAQs answered. As the community grew and solo female travel has become more common they decided to expand their community into a business that offers tour packages around the world. Today Solo Female Travelers has over 100,000 members and despite the Pandemic has tours scheduled through February of 2023. While Pages lives in Singapore and Jerrard is Australia based, the two co-founders find strength in their ability to compliment each other's skill sets and are excited to see how the business will continue to grow in the years to come.
Pages' story, as told to The Story Exchange 1,000+ Stories Project:
Solo Female Travelers started in 2015 as a niche online community. As traveling solo as a woman started to become more mainstream and grow in popularity, so did the community and we realized that, despite its astronomical growth, women traveling solo were still seen as a minority that was the target of stigma, stereotypes and scared friends and loved ones, so we decided to expand the online community to include a portal filled with resources that answer the mostly commonly asked questions of our members, an online course on safety, wellness and sexual wellbeing that addresses the number one concern of solo female travelers and a range of curated small group trips designed by women for women traveling solo.
Contributing to creating a better world and, in the context of our organization, the ability to inspire and empower other women to travel on their own with the right tools to stay safe.
The immense growth in our community which went from 25,000 members at the beginning of the pandemic to 100,000 today while the majority of the word's borders remain closed. Maintaining a cohesive, supportive and safe environment in such a diverse community with more than 100 nationalities, and members of all faiths and socio-economic backgrounds is a feat that required daily dedication, passion and commitment, and a mission we uphold every day.
These Travel Entrepreneurs Want You to Start Planning Your Dream Trip Now
After over a year of border closures and financial strains we are looking forward to the recovery of the travel industry and are focused on scaling our business with more resources, content, courses and small group tours to over 10 countries scheduled until February 2023. With all that in mind, we need to find ways to balance workload, a fully distributed membership base and an entirely remote team that has worked completely online and in 3 different countries since launch.
Managing the difficulties of being in a country with fully closed borders for over 15 months, away from family, from my team and my business partner is a challenge not to be underestimated. We are also currently organizing ourselves for Megan's pregnancy and the implications that this will have on time commitments and part-time support.
She Creates Group Travel Adventures Across The Globe
Find a business partner who complements you, supports you, encourages you and makes you a better co-founder and business woman. I own a business I manage on my own and Solo Female Travelers which I co-founded and it is much more fun, exciting and rewarding to have someone to make decisions with, to lean on, to discuss issues with and generally celebrate achievements with. The right partner can propel your start up, by the same token, the wrong partner will almost guarantee failure. Ensure that you both want the same, have the same vision and the same commitment to the project.
Friends and family and those who I love and who love me are the best reminder that this is just a bad day and that there is a lot out there to be proud of and look forward to. A day in nature, great food, a bottle of wine and laughter with those you care about can cure almost anything.
I don't have a specific role model but I have become the person I am from the interactions and mentors I've had through my career in two other completely separate fields before embarking on a community-based travel business. ◼


Nowadays it often seems as if everything we eat or drink is bad for us in some way. Foods once considered healthy and nourishing contain, we are told, ingredients like carbohydrates, sodium and saturated fats which can cause dreadful diseases when consumed frequently or in excess. Every few days we hear, read or see on television news of some medical discovery exposing the harmful effects of yet another favorite food or beverage, now to be banished from the tables of health-conscious folk. The parade of bad news seems to have no end. So it comes as a relief to learn that one popular beverage, affordable and loved by billions of people around the world, is entirely beneficial and may in fact have preventive and curative health properties when consumed regularly. The beverage, of course, is tea.
Medical benefits have been claimed for tea for as long as it has been drunk. The origins of the 'cuppa' are lost to the ages, yet when we first hear of tea it is in a medicinal connection: a Chinese text, The Divine Farmer's Herb-Root Classic, dating from around 250BC, recommends infusions of tea-leaves for the treatment of tumors, abscesses, bladder ailments and lethargy. Since then, generation after generation of medical authorities have sung the praises of tea; and today, a popular encyclopedia lists no less than 22 separate claimed health benefits for the beverage, ranging from protection against HIV infection to the elimination of bad breath.


Building on the longstanding tradition of interdisciplinary research and teaching at Sussex, the Literature and Philosophy MA exemplifies the fruitful co-operation between Philosophy and English.
You'll study in a stimulating environment for creative thinking, open discussion and critical engagement. You'll draw on ideas from literature, philosophy (analytic and continental), psychology and intellectual history.


Kipps Hostels caters for all types of groups - both small and large including School visits, City Breaks and accommodation for overseas students. So if you are looking to Visit Canterbury and require excellent accommodation with great facilities at affordable prices, Kipps is the place for you.
Our multi-lingual friendly staff have many years experience dealing with Groups from all over the world and the feedback has been excellent, with many groups now returning year on year.
We are not a party hostel, and do not advertise ourselves as a party hostel. So please do not book the hostels if your intentions are to Visit the City - just to Party ! There are other hostels who will welcome these type of groups and we can give you their contact information. If you are a group 6+, you will need to book direct with the hostel by email or telephone, as certain conditions will apply. If you do book online, your reservation could be cancelled and any deposits paid will not be returned. We have to consider all guests staying at the hostel, as we want to offer a nice homely, comfortable & relaxing atmosphere for all guests staying at Kipps Hostels .
Kipps Canterbury also offers a large Garden with BBQ area and a Pool table, a dining room and a lounge with Digital TV. Free WI FI is available throughout the hostel.
We can also offer meals at Kipps Canterbury including a Continental Breakfast, a Packed Lunch and a choice of Evening Meals. (please click on the icons below for a description of the meals we offer) If you prefer to cater for the group yourself, we do offer a well equipped self catering kitchen.
We do offer great prices for groups (please click on the icon below) to see our current prices.
We can also offer further discounts for groups especially in the winter season - depending on the group size and number of nights booked. If you are interested in staying in a group with us at Kipps Canterbury, please complete the form below, so we can check availability for your group, when we have received the completed form by email, we will check availability for your group.
If the rooms are available on the requested dates, we will send you an email offering to make a provisional reservation, with an option date to confirm, If you then decide to go ahead with the reservation we would require the 1st nights accommodation- non- refundable deposit.
The balance would be payable 1 week prior to your groups arrival.
You can make the deposit/balance payments with your debit/ credit card or by Bank Transfer.
If you require any additional information, please let us know when you submit the form below.
We look forward to helping with your accommodation needs, with a quick, easy and flexible approach.
We also have great working relationships with many Agencies across Europe, if you are interested in working with Kipps, please let us know and we can let you know our commission rates we can offer.
Groups over 30 guests – 5% discount.
We offer the following continental breakfasts for groups.
Breakfast/ Meal Area seats up to 25 per sitting.


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Q: Trouble finding correct relative binding syntax for DataGrid.ItemsSource from TabItemHeaderTemplate I have a TabControl in my Control with in each tab a DataGrid. I am styling the tab header using a template. I would like to bind to the DataGrid.ItemsSource on the tab to be able to apply a filter to add an image to the TabItem indicating a status.
Below is my VisualTree with an arrow indicating the binding:

And this is my template with the relative binding, which unfortunately is not working.
<DataTemplate x:Key="TabItemHeaderWithIconTemplate">
    <StackPanel Orientation="Horizontal">
        <Image>
            <Image.Style>
                <Style TargetType="{x:Type Image}">
                    <Style.Triggers>
                        <DataTrigger
                            Value="True"
                            Binding="{Binding Path=ItemsSource, RelativeSource={RelativeSource AncestorType={x:Type DataGrid}}, Converter={StaticResource StatusHasFailureConverter}, Mode=OneWay}">
                            <Setter Property="Source" Value="/REDACTED;component/Resources/red-x-icon.png"/>
                        </DataTrigger>
                        <DataTrigger
                            Value="False"
                            Binding="{Binding Path=ItemsSource, RelativeSource={RelativeSource AncestorType={x:Type DataGrid}}, Converter={StaticResource StatusHasFailureConverter}, Mode=OneWay}">
                            <Setter Property="Source" Value="/REDACTED;component/Resources/green-checkmark-icon.png"/>
                        </DataTrigger>
                    </Style.Triggers>
                </Style>
            </Image.Style>
        </Image>
        <TextBlock Text="{Binding}" />
    </StackPanel>
</DataTemplate>

If I remove the relative binding and directly bind to a CollecionViewSource defined in my resources the StatusHasFailureConverter is triggered and the icon is visible and matches the output of my converter, but with my relative binding no icon appears at all, the converter seems not to be triggered, but also no binding issues are raised.
Any pointers on how to define the binding to point to the topmost DataGrid ItemsSource in the TabControl (indicated with the arrow)?

A: It seems because of the way TabControl works, the contents of tabs are not children of their items (only the headers are children of the individual items). This means a relative binding would not be possible as far as I can tell. I would instead recommend binding the DataGrid and TabItem header to he same common source, which it seems you've already figured out how to do.

redpajama_set_name: RedPajamaStackExchange


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This great range provides a choice of lumen packages, selectable colour temperature with standard and integral microwave sensor options to deliver extensive functionality and energy saving solutions to replace traditional fluorescent. Simple aesthetics make this an attractive fitting for use in residential or commercial applications.


Each month we discuss at our office meetings the activity in Toronto real estate market, number of visitors to the open houses, number of sales and average prices, number of competing offers on our listings and on the properties where we presented offers for our buyers. That information, together with the information provided monthly by the Toronto Real Estate Board and the various articles appearing in the media, allows our company to produce a unique monthly review of Toronto's real estate market.
In the graphic presentation we also provide here a trend in sales of freehold houses and condos, as well as number of sold detached and semi-detached houses, townhouses, condo apartments and townhomes, co-ops and co-ownerships.
For information on yearly real estate price changes, corrected for inflation and compiled since 1953, please visit my Historic Price Trend page.


Mumbai: The country's agricultural growth in the fiscal ending March is likely to match the previous year's 4.5% on good monsoon rains and better prospects from the crop currently being sown, agriculture minister Sharad Pawar said on Sunday.
"Though the monsoon in some of the states was delayed, and there might be some impact, the overall report of the rabi crop (to be harvested in March and April) is such that probably we will be able to maintain the same growth rate even this year," Pawar said on the sidelines of a conference.
In 2007-08, growth in the agriculture, forestry and fishing sectors outpaced the previous year's 3.8%, government data shows.
The annual monsoon between July and September was largely normal though western and southern regions had late rains. Pawar said wheat production is seen higher in 2009, denying reports of a slight fall in the sowing acreage.
"The feedback I am getting from the farmers and the agricultural commissioners is that they expect a better crop than last year," he said.
Higher moisture content in soil owing to the late monsoon in some parts and a favourable change in the climate currently were helping the wheat crop now being sown, he added.
If the crop in March 2009 is higher, it could top a record 78.4 million tonnes (mt) of wheat produced in March 2008. The minister said carryover stocks for sugar were good and may help tide over any shortfall in production in the crop year that ended last month.
"Whatever is the requirement for the next one and a half years is available with this year's production and carryover (put) together," he said.
A delay of the monsoon by two-three months affected the growth of sugar cane and also the recovery of sugar, the minister said.
"Looks like there might be some impact," he said.
Trade officials have said India's carryover sugar stocks on 1 October were at 9mt, while the government has said stocks stand at 11mt.
The minister did not say clearly if an import duty on crude palm oil would be levied after last week's 20% duty on soya oil but said that it would depend on prices in the market. "At the moment, the situation is (such that) if prices go below the (state-set) minimum support price, then we have no choice but to act."
India imports nearly half of its edible oil requirement of 11mt—crude palm oil is a major component of this.
India was not looking to allow bulk exports of groundnut oil but may encourage more packaged edible oil exports, Pawar said.
"I am trying to keep the balance. We have to protect the domestic consumer interest. I have to protect the interest of the producer (also)," Pawar said.