text:
\section{Introduction}
In the recent decade, the existence of the strong short-range repulsion and tensor interaction in the bare nucleon-nucleon ($NN$) interaction is confirmed to provide strong short-range and tensor correlations by the $ab$ $initio$ studies of many-body physics in nuclei \cite{Pieper2001, Jastrow1955, Wiringa1995}. The short-range correlation contributes dominantly to the very high-momentum region around $4$ fm$^{-1}$, while the tensor correlation is strong in the midium-momentum region around $2$ fm$^{-1}$ \cite{Lyu2020}. Therefore, the description of the $NN$ correlations including high-momentum component becomes more and more essential for a developed framework to perform the $ab$ $initio$ calculation with the bare $NN$ interaction.

When reproducing the nuclear structures and the binding energies of light mass region, one of the most successful calculations is the Green's function Monte-Carlo method (GFMC), where various correlation functions with many variational parameters are used for the nuclear wave function without any renormalization \cite{Pieper2002, Pudliner1997}. Besides, in recent years, the frameworks of tensor-optimized shell model (TOSM) \cite{Myo2007PTP, Myo2007PRC, Myo2009} and tensor-optimized antisymmetrized molecular dynamics (TOAMD) \cite{Myo2015, Myo2017PLB, Myo2017PRC-1, Myo2017PTEP-1, Myo2017PRC-2, Lyu2018PTEP} are developed successfully to reproduce the binding energies of s-shell nuclei using the AV8' bare interaction. In TOSM, two-particle two-hole excitations induced by the $NN$ interaction are fully included to get the converging energy. In TOAMD, the correlation functions are introduced for the short-range correlation and tensor correlation and their functional forms are determined to minimize the total energy of the nucleus. In both methods, the high-momentum motion of nucleons in nuclei are explicitly treated. The description of the short-range correlation and tensor correlation basing on the microscopic framework remains an essential topic for the understanding of the inter-nucleon correlations.

In addition to the expansion scheme with the correlation functions for nuclei, another framework named the high-momentum antisymmetrized molecular dynamics (HMAMD) \cite{Myo2017PTEP-2, Myo2018, Zhao2019} has been developed for the description of the $NN$ correlation and this method is an extension of the pioneering idea given in Ref. \cite{Itagaki2018}. In HMAMD, the correlated nucleon-pair with high-momentum component is introduced in the nuclear many-body states and this treatment is extendable by increasing the number of correlated pairs at the same time. It is found that the short-range correlation and the tensor correlation are well described within a rather simple form of high-momentum $NN$ pair excitation. Another unique treatment for the correlations between nucleons is the unitary transformation of the uncorrelated state to the correlated many-body states as done by the unitary correlation operator method (UCOM) \cite{Feldmeier1998, Neff2003, Myo2009}. In UCOM, the short-range correlation and the tensor correlation are described with two kinds of unitary correlation operators separately, which have a good property for porting them to the various kinds of nuclear many-body wave functions. In particular, short-range part of UCOM can work nicely to describe the short-range correlation in finite nuclei \cite{Myo2009, Feldmeier1998, Myo2011} and also in nuclear matter \cite{Myo2019, Hu2010}

Thus, it is rather straightforward to combine the HMAMD with UCOM to further improve the description of the inter-nucleon correlations. Under the unitary transformation, the HMAMD still maitains its analytical simplicity while providing a better description of many-body correlations. In our previous work \cite{Myo2009}, we have incorporated the UCOM as well as the S-wave UCOM (S-UCOM) into the TOSM for the calculation of the $^4$He nucleus and obtained better numerical results which are very close to the rigorous calculation. In this work, we will combine the HMAMD with UCOM, namely HMAMD+UCOM, and investigate the applicability of this new variational method by performing the calculations of $^3$H and $^4$He nuclei using AV8' bare interaction. Since the tensor correlation has already been well described within the framework of HMAMD \cite{Myo2017PTEP-2, Lyu2020}, we will adopt only the short-range part of UCOM in the current work. The detailed role of UCOM will be discussed from the numerical results of this new extension. We will also compare these new results with those from previous TOSM+UCOM/S-UCOM calculations as well as the TOAMD calculations.

This paper is organized as follows: Section \ref{sec:waveFunction} explains the framework of the HMAMD wave function and the UCOM transformation, which we are aiming to propose. The numerical results of the HMAMD+UCOM calculations for the $^3$H and $^4$He nuclei are presented and discussed in Sec. \ref{sec:results}, where the comparison of the current HMAMD+UCOM between the TOSM+UCOM/S-UCOM or TOAMD will also be included. The conclusion is given in Sec. \ref{sec:conclusion}.

\section{Framework}
\label{sec:waveFunction}
We shall begin with the many-body Hamiltonian,
\begin{equation}
\hat{H}=\sum_{i} \hat{T}_i - \hat{T}_\text{c.m.} + \sum_{i<j} \hat{V}_{ij} ~,
\end{equation}
where $\hat{T}_i$ and $\hat{T}_\text{c.m.}$ are the kinetic energies of each nucleon and the center of mass, respectively. In this work, we take the bare nucleon-nucleon interaction AV8' \cite{Pudliner1997} for $\hat{V}_{ij}$ as
\begin{equation}
\hat{V}_{ij} = v_{ij}^\text{C}+v_{ij}^\text{T}+v_{ij}^\text{LS}~,
\end{equation}
where $v_{ij}^\text{C}$ denotes the central term, $v_{ij}^\text{T}$ denotes the tensor term and $v_{ij}^\text{LS}$ denotes the spin-orbit interaction. In AV8', the central term $v_{ij}^\text{C}$ includes the short-range repulsive interaction, which describes the short-range correlation when two nucleons are at short distance. Additionally, the tensor interaction $v_{ij}^\text{T}$ is included in the AV8' comparing with the AV4' central interaction. The Coulomb term is not considered in the current work with the same condition as the other works \cite{Myo2009, Myo2015, Myo2017PLB, Myo2017PRC-1, Myo2017PTEP-1, Myo2017PRC-2, Lyu2018} to compare the results with the AV8' interaction.

The wave function we adopt in this work is the HMAMD wave function, which is based on the antisymmetrized molecular dynamics (AMD). For a nuclear system with $A$ nucleons, the AMD basis can be written as
\begin{equation}
\label{eq:amd}
\Phi_\text{AMD} = \mathcal{A}\{\phi_1(\mathbf{r}_1)\phi_2(\mathbf{r}_2)...\phi_A(\mathbf{r}_A)\}~,
\end{equation}
where the single-nucleon wave functions $\phi(\mathbf{r})$ are expressed in the Gaussian wave packet multiplied by the spin-isospin wave function $\chi_{\tau,\sigma}$ as
\begin{equation}
\phi(\mathbf{r},\mathbf{Z}) = (\frac{2\nu}{\pi})^{3/4}\text{exp}[-\nu(\mathbf{r}-\mathbf{Z})^2]\chi_{\tau,\sigma}~.
\end{equation}
Here, the range parameter $\nu$ represents the size of the nucleon and is common for all nucleons in Eq. (\ref{eq:amd}). It will be determined for each nucleus independently to gain the total energy. The centroid position $\mathbf{Z}$ is a complex vector $\mathbf{Z}=\mathbf{R}+i\mathbf{D}$, where the real part $\mathbf{R}$ represents the spatial position of the Gaussian centroid. We put the condition of $\sum_i^A \mathbf{Z}_i=0$ to keep the center of mass at the origin of the coordinates and the total momentum at zero. For the s-shell nuclei $^3$H and $^4$He, the spatial positions of all nucleons are optimized to be $\mathbf{R}=0$ as the result of the energy variation in TOAMD \cite{Myo2017PTEP-1, Myo2017PRC-2}. The imaginary part of $\mathbf{Z}$, which is $\mathbf{D}$, represents the mean momentum of the Gaussian as
\begin{equation}
\braket{\mathbf{p}} = 2\hbar\nu\text{Im}(\mathbf{Z})~.
\end{equation}

In the framework of HMAMD, the imaginary components to the Gaussian centroids of two nucleons $\mathbf{Z}_1$ and $\mathbf{Z}_2$ are assigned with the same magnitude but opposite directions as
\begin{equation}
\mathbf{Z}_1 = i\mathbf{D},~~~~\mathbf{Z}_2 = -i\mathbf{D}~.
\end{equation}
In this way, the high-momentum excitation of di-nucleon pairs is introduced into AMD basis with a large magnitude of $\mathbf{D}$ \cite{Itagaki2018} and also various vector directions \cite{Myo2017PTEP-2}, both of which are necessary to describe the tensor correlation without the center-of-mass excitation. The corresponding AMD basis is extended to the single HMAMD basis $\Phi_\text{1HM}$, since only a single di-nucleon pair is excited. To extend to the double HMAMD basis $\Phi_\text{2HM}$ \cite{Myo2018}, the additional basis with double high-momentum pairs should be included as
\begin{equation}
\begin{split}
&\mathbf{Z}_1 = i\mathbf{D} \pm i\mathbf{D}^\prime, \\
&\mathbf{Z}_2 = -i\mathbf{D}~,\\
&\mathbf{Z}_3 = \mp i\mathbf{D}^\prime,\\
\end{split}
\end{equation}
and
\begin{equation}
\label{eq:hmpair}
\begin{split}
&\mathbf{Z}_1 = i\mathbf{D},~~\mathbf{Z}_2 = -i\mathbf{D}~,\\
&\mathbf{Z}_3 = i\mathbf{D}^\prime,~~\mathbf{Z}_4 = -i\mathbf{D}^\prime,\\
\end{split}
\end{equation}
where up to three or four nucleons are correlated at the same time. The situation in the system with more than four nucleon correlations can be constructed by successively adding more nucleon pairs in Eq. (\ref{eq:hmpair}) in the similar manner, but they are more complicated. The expressions of single and double high-momentum pairs can be explained schematically in Fig. \ref{fig:diagram}.
\begin{figure}[htbp]
  \centering
  \includegraphics[width=0.8\textwidth]{diagram.eps}
  \caption{Diagrams of the single and double high-momentum pairs. The vertical lines with the number denote nucleons and the horizontal lines denote the correlations between nucleons. Square brackets below the diagrams represent the configurations of the many-body correlations explained in Refs. \cite{Myo2015, Myo2017PTEP-1}. \label{fig:diagram} }
\end{figure}
The left panel shows the single correlation between two nucleons, while the other two panels show the double correlations within three or four nucleons. The double HMAMD basis is required for the precise description of $NN$ correlations in the order of cluster expansion \cite{Lyu2018}.

The spin-isospin parts of the wave function are generally fixed to be $\ket{p\uparrow  n\uparrow  n\downarrow }$ in the $^3$H case and $\ket{p\uparrow p\downarrow n\uparrow n\downarrow}$ in the $^4$He case. However, the spin of the nucleon could be changed due to the tensor operator of $\hat{S}_{12}=3(\sigma_1\cdot {\bf r})(\sigma_2\cdot{\bf r})-(\sigma_1\cdot \sigma_2)$ in the tensor force in the $NN$ interaction. It indicates that the spin parallel configuration of two nucleons can contribute to the total wave function satisfying the Pauli exclusion principle. Therefore, we will add the extra wave functions having the spin-parallel configurations, which is technically treated by using the free spin expression of $\chi_\sigma = \eta\ket{\uparrow}+(1-\eta)\ket{\downarrow}$. Here the parameter $\eta$ is a constant between 0 to 1. The value of $\eta$ will not influence the final result because of the antisymmetrization.

The final wave function of HMAMD is the superposition of all the basis with grid of the momentum shift $\mathbf{D}$:
\begin{equation}
\Psi_\text{HMAMD} = \sum_i f_i \hat{P}^{J^\pi}_{MK}\Phi_\text{1HM}(\mathbf{D}_i)+\sum_{j,k} g_{j,k} \hat{P}^{J^\pi}_{MK}\Phi_\text{2HM}(\mathbf{D}_j,\mathbf{D}^\prime_k)
\end{equation}
where $\hat{P}^{J^\pi}_{MK}$ is the parity and the angular momentum projector. The corresponding coefficients $f_i$ and $g_{j,k}$ will be determined by the diagonalization of the Hamiltonian. For the calculation of $^3$H, $\mathbf{D}_i$ is up to 19.5 fm and meshed by 1.3 fm in the $x$, $y$, $z$ directions. $\mathbf{D}_j$ and $\mathbf{D}^\prime_k$ are up to 13 fm and meshed by 2.6 fm. For the calculation of $^4$He, $\mathbf{D}_i$ is up to 13 fm and meshed by 1 fm. $\mathbf{D}_j$ and $\mathbf{D}^\prime_k$ are up to 10 fm and meshed by 2 fm.

The HMAMD method is a powerful method for the description of the short-range correlation and the tensor correlation, especially for the latter one. On the other hand, another way to implement the correlations into the system is to perform a suitable unitary transformation of the uncorrelated many-body states to a correlated basis, $\widetilde{\Psi} = C\Psi$. Here the tilde notation represents the correlated wave function. By following the works of Feldmeier et al. \cite{Feldmeier1998, Neff2003}, an unitary correlation operator can be written as a product of two unitary operators:
\begin{equation}
C=C_{\Omega}C_r~,~~C_{\Omega}=\mathrm{exp}[-i\sum_{i<j}g_{\Omega,ij}]~,~~C_r=\mathrm{exp}[-i\sum_{i<j}g_{r,ij}]~,
\end{equation}
where $C_\Omega$ is the unitary operator for the tensor correlation and $C_r$ is the unitary operator for the short-range correlation. Two-body operators $g_{\Omega,ij}$ and $g_{r,ij}$ are the Hermite operator where $i$ and $j$ are the particle index. Since the tensor correlation can be well described by the HMAMD basis as studied in Refs. \cite{Myo2017PTEP-2}, we only adopt the short-range correlation part $C=C_r$ in the current work.

In the calculation of UCOM, the Hermite operator $g_{r,ij}$ is defined as
\begin{equation}
g_{r,ij}=\frac{1}{2}\{p_{r,ij}s(r_{ij})+s(r_{ij})p_{r,ij}\}~,
\end{equation}
where the momentum $p_{r,ij}$ is the radial component of the relative momentum,  which is conjugate to the relative coordinate $r_{ij}=|\mathbf{r}_i-\mathbf{r}_j|$. $s(r_{ij})$ is the amount of the shift of the relative wave function of each nucleon pair. In the framework of UCOM, the function $R_+(r)$ can be introduced as
\begin{equation}
\int^{R_+(r)}_r\frac{d\xi}{s(\xi)}=1
\end{equation}
and one can obtain the relation:
\begin{equation}
\frac{dR_+(r)}{dr}=\frac{s(R_+(r))}{s(r)}~.
\end{equation}
The function $R_+(r)$ denotes the transformed relative distance and can reduce the amplitude of the short-range part of the relative wave function in nuclei, which should be determined for four spin-isospin channels (singlet-even, triplet-even, singlet-odd and triplet-odd) independently. Thus, the various operators will be transformed to the form of the relative motion as:
\begin{equation}
\begin{split}
&c^\dagger r c = R_+(r) ~,~~ c^\dagger p_r c = \frac{1}{\sqrt{R'_+}}p_r\frac{1}{\sqrt{R'_+}} ~,~~c^\dagger \mathbf{l} c = \mathbf {l}~,\\
&c^\dagger \mathbf{s} c = \mathbf{s} ~,~~ c^\dagger S_{12} c = S_{12} ~,~~ c^\dagger v(r) c = v(R_+(r))~.
\end{split}
\end{equation}
Here we list the transformation of the relative position operator $r$, the relative momentum operator $p_r$, the relative orbital angular momentum operator $\bf l$, the intrinsic spin operator $\bf s$, the tensor operator $S_{12}$, and the arbitrary scalar function $v(r)$.

The form of $R_+(r)$ depends on the potential adopted in the calculation. For the AV8' potential, the following two parameterizations for the short-range correlation functions, which are proposed by Neff-Feldmeier and Roth et al. \cite{Feldmeier1998, Neff2003, Roth2006, Roth2007}, have proven appropriate:
\begin{equation}
\begin{split}
&R_+^{\mathrm{even}}(r)=r+\alpha\big(\frac{r}{\beta}\big)^\gamma \mathrm{exp}[-\mathrm{exp}(r/\beta)]\\
&R_+^{\mathrm{odd}}(r)=r+\alpha[1-\mathrm{exp}(-r/\gamma)] \mathrm{exp}[-\mathrm{exp}(r/\beta)]~.
\end{split}
\end{equation}
Here, $\alpha$, $\beta$, $\gamma$ are the variational parameters to minimize the energy of the total system, which will be determined for four channels of the spin-isospin pair separately.

With the above unitary correlation operator $C$, one can transform the HMAMD wave function to the correlated one as $\widetilde{\Psi}_\text{HMAMD} = C\Psi_\text{HMAMD}$, and the corresponding Schrodinger equation becomes $\hat{H}\widetilde{\Psi}_\text{HMAMD} = E\widetilde{\Psi}_\text{HMAMD}$ or $\widetilde{\hat{H}}\Psi_\text{HMAMD}=E\Psi_\text{HMAMD}$. Hence, the transformation to the effective Hamiltonian is
\begin{equation}
\widetilde{\hat{H}}=C^\dagger \hat{H} C = \sum_{i} \hat{T}_i - \hat{T}_\text{c.m.} + \sum_{i<j}( \widetilde{v}_{ij}^\text{C}+\widetilde{v}_{ij}^\text{T}+\widetilde{v}_{ij}^\text{LS} + \widetilde{t}_{ij} +\widetilde{t}_{ij}^\text{P}+\widetilde{t}_{ij}^\text{L})~.
\end{equation}
In addition to the correlated nucleon-nucleon interaction term, $\widetilde{t}_{ij}$, $\widetilde{t}_{ij}^\text{P}$, and $\widetilde{t}_{ij}^\text{L}$ are the two-body kinetic terms, which come from the correlated kinetic operator with the cluster expansion by the $\mathrm{C}^\dagger \hat{\mathrm{T}}^{[1]}\mathrm{C}=\hat{\mathrm{T}}^{[1]}+\hat{\mathrm{T}}^{[2]}+\hat{\mathrm{T}}^{[3]}+...$. The number in the square brackets denotes the one-body term, two-body term and so on. For the simplicity of the calculation, we take the approximation to use only up to the two-body operators in the correlated Hamiltonian to treat the short-range correlation, which has been shown to work nicely \cite{Myo2009, Myo2017PRC-1}. In this calculation, we apply the Gaussian expansion technique for the radial part of the effective Hamiltonian, so that the forms of these three kinetic operators are
\begin{equation}
\label{eq:corkin}
\begin{split}
&\widetilde{t}_{ij} = \sum_n c_n e^{a_n r_{ij}^2}\\
&\widetilde{t}_{ij}^\text{P} = \sum_n c^\text{P}_n (\hat{\mathbf{P}}^2e^{a^\text{P}_n r_{ij}^2} + e^{a^\text{P}_n r_{ij}^2}\hat{\mathbf{P}}^2)\\
&\widetilde{t}_{ij}^\text{L} = \sum_n c^\text{L}_n e^{a^\text{L}_n r_{ij}^2}\hat{\mathbf{L}}^2\\
\end{split}
\end{equation}
where $\widetilde{t}_{ij}$ is a central operator type. $\widetilde{t}_{ij}^\text{P}$ is denoted by using the relative momentum $\hat{\mathbf{P}}$ and $\widetilde{t}_{ij}^\text{L}$ is denoted by using the relative orbital angular momentum $\hat{\mathbf{L}}$. The index $n$ distinguishes the Gaussian range. We also consider the spin-isospin dependence of three operators in Eq. (\ref{eq:corkin}).

In the procedure of the current work, we transform the Hamiltonian to the effective one by the UCOM and then solve the eigenvalue problem of the effective Hamiltonian. We will make the variational calculation for the parameters of the $R_+(r)$ to minimize the total energy results.

\section{Results}
\label{sec:results}
In this work, we combine the HMAMD with the UCOM to calculate $^3$H and $^4$He nuclei using the bare interaction AV8'. Firstly, as a comparison, we show the energy results of $^3$H and $^4$He nuclei only with the HMAMD in Table. \ref{table:energy1}. Since for the HMAMD+UCOM, the optimized size parameters $\nu$ in the single-particle wave function are $0.18$ fm$^{-2}$ and $0.25$ fm$^{-2}$ for $^3$H and $^4$He, respectively, we adopt the same parameters for the HMAMD calculations without UCOM.
\begin{table*}[htbp]
  \begin{center}
    \caption{The energy results of $^3$H and $^4$He nuclei only with the HMAMD. ``1HM" and ``2HM" denote the single HMAMD calculation and double HMAMD calculation, respectively. ``E", ``Kin", ``Cen", ``Ten", and ``LS" denote the total energy, kinetic energy, central term, tensor term and spin-orbit term, respectively. ``Radius" denotes the root-mean-square (r.m.s.) radius with the point nucleon [fm]. All the units of the energy are in MeV. \label{table:energy1}}
    \vspace{2mm}
 \begin{tabular*}{14cm}{ @{\extracolsep{\fill}} l c c c c c c}
    \hline
    \hline
 $^3$H &E &Kin &Cen &Ten &LS &Radius [fm]\\
    \hline
1HM &-5.05   &41.12    &-19.41  &-25.48 &-1.28 &1.68\\
2HM &-6.66   &47.20    &-22.25  &-29.58 &-2.03 &1.61\\
    \hline
 $^4$He & & & & & &\\
    \hline
1HM &-13.07 &77.58 &-40.82 &-48.22 &-1.62 &1.53\\
2HM &-21.01 &89.86 &-51.08 &-57.07 &-2.73 &1.49\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table*}
In this table, we see clearly the efficiency of the single and double HMAMD calculations. Adding the double HMAMD basis, the total energies of these two nuclei are surely lowered. The improvement of the total energy comes from both the central part and the tensor part of the Hamiltonian. The kinetic energies also increase in both nuclei because of the high-momentum nature of the tensor correlation. These results indicate that the double HMAMD can contribute to both the short-range correlation and the tensor correlation as introduced in our previous works\cite{Myo2017PTEP-2}. However, the total energies do not reach to the results from GFMC \cite{Kamada2001, Wiringa2002} as $-7.76$ MeV for $^3$H and $-25.93$ MeV for $^4$He. It indicates that even the double HMAMD basis can not fully describe the correlations between nucleons. This is the motivation why we introduce the UCOM upon the HMAMD framework to try to enhance the description of the correlation, in particular, the short-range part, which needs very high-momentum component in the wave function.

Next, we shall investigate the efficiency of the UCOM. We compare the energy results of $^3$H and $^4$He nuclei with single and double HMAMD+UCOM calculations in Table. \ref{table:energy2}. For the results of $^3$H with single and double HMAMD+UCOM calculations, the parameters $\alpha$, $\beta$, $\gamma$ in $R_+(r)$ are optimized in the variational calculation as shown in Table. \ref{table:optpara}. However, for the results of $^4$He, due to the limitation of the numerical calculating power, we skip the variational calculation for the UCOM parameters in the case of double HMAMD calculation and simply use the optimized sets as in the single HMAMD calculation, which is shown in Table. \ref{table:optpara4he}.
\begin{table*}[htbp]
  \begin{center}
    \caption{The energy results of $^3$H and $^4$He nuclei with the HMAMD+UCOM. The meanings of the other symbols are the same as in the previous table. All the units of the energy are in MeV. \label{table:energy2}}
    \vspace{2mm}
 \begin{tabular*}{14cm}{ @{\extracolsep{\fill}} l c c c c c c}
    \hline
    \hline
 $^3$H &E &Kin &Cen &Ten &LS &Radius (fm)\\
    \hline
1HM+UCOM  &-6.27 &46.14 &-22.71 &-28.20 &-1.50 &1.63\\
2HM+UCOM  &-7.08    &48.74   &-23.50  &-30.42 &-1.91 &1.60\\
    \hline
 $^4$He & & & & & &\\
    \hline
1HM+UCOM &-20.32 &90.66 &-54.54 &-54.17 &-2.27 &1.49\\
2HM+UCOM &-23.17 &98.55 &-57.34 &-61.02 &-3.36 &1.46\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table*}
\begin{table}[!htbp]
  \begin{center}
    \caption{Optimized parameters in $R_+(r)$ in UCOM for $^3$H calculation. ``1HM" and ``2HM" denote the results of the single HMAMD calculation and the double HMAMD calculation, respectively. \label{table:optpara}}
    \vspace{2mm}
 \begin{tabular*}{10cm}{ @{\extracolsep{\fill}} l c c c c c c c}
    \hline
    \hline
  \multirow{2}*{$^3$H}& \multicolumn{3}{c}{1HM} & & \multicolumn{3}{c}{2HM}\\
  \cline{2-4}\cline{6-8}
  &$\alpha$ &$\beta$ &$\gamma$ & &$\alpha$ &$\beta$ &$\gamma$\\
    \hline
singlet-even &1.30   &0.85   &0.36 & &0.50   &0.75   &0.40\\
triplet-even   &0.50   &0.80   &0.50 & &0.20   &0.70   &1.10\\
singlet-odd   &2.20   &1.26   &1.20 & &1.80   &1.26   &0.70\\
triplet-odd     &1.70   &1.39   &1.00 & &2.10   &1.39   &1.90\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table}
\begin{table}[!htbp]
  \begin{center}
    \caption{Optimized parameters in $R_+(r)$ in UCOM for $^4$He calculation. ``1HM" denotes the result of the single HMAMD calculation. \label{table:optpara4he}}
    \vspace{2mm}
 \begin{tabular*}{6cm}{ @{\extracolsep{\fill}} l c c c}
    \hline
    \hline
  \multirow{2}*{$^4$He}& \multicolumn{3}{c}{1HM}\\
  &$\alpha$ &$\beta$ &$\gamma$\\
    \hline
singlet-even &1.30   &0.85   &0.36\\
triplet-even   &0.70   &0.80   &0.40\\
singlet-odd   &1.60   &1.26   &0.70\\
triplet-odd     &1.60   &1.39   &0.90\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table}
From Table. \ref{table:energy2}, clear improvements can be found when adopting the UCOM. These facts show that the UCOM can surely provide a better description of the short-range correlation in the framework of HMAMD. When comparing with the results shown in Table. \ref{table:energy1}, we notice that the single HMAMD result of $^4$He provides larger energy gain when adopting the UCOM than in the $^3$H case. It indicates that the UCOM works more effective in the calculation of $^4$He than in the calculation of $^3$H. This difference can be explained from the property of the short-range correlation. Since the short-range correlation describes the strong repulsion when the nucleons are close to each other, it is natural to understand that the compact nuclei such as $^4$He will be more affected by the short-range correlation. This should be the reason why the UCOM for the short-range correlation is more effective in a compact nucleus as $^4$He than in a less compact nucleus as $^3$H.

Next, we intend to show how the UCOM effect differs between the single and double HMAMD basis in describing the short-range correlation. The form of $R_+(r)$ for $^3$H calculation are plotted for the even channels in Fig. \ref{fig:optpara}.
\begin{figure}[htbp]
  \centering
  \includegraphics[width=0.8\textwidth]{optpara.eps}
  \caption{The difference between the shifted distances $R_+(r)$ of the UCOM and the original distance $r$ in singlet-even (SE) and triplet-even (TE) channels. The red dashed lines are optimized for the single HMAMD calculation, while the blue solid lines are optimized for the double HMAMD calculation. Calculations are performed for $^3$H with AV8' potential. \label{fig:optpara} }
\end{figure}
From the triplet-even (TE) panel of Fig. \ref{fig:optpara}, it is shown that the strength of the TE channel is small in the calculation comparing with other channels. A reasonable explanation is that the tensor force can also be transformed in the TE central part of the Hamiltonian in the UCOM. However, since the strong tensor effect is already implemented by the tensor part of the AV8' interaction, the strength of the TE channel in UCOM should be reduced to survive the bare tensor force as much as possible. When we compare the UCOM effect with the single and the double HMAMD calculations in the SE and TE channels, we can find that the UCOM effect will be reduced when adding the double HMAMD basis. These results again indicate the well description of the short-range correlation by the double HMAMD basis, so that the UCOM effect becomes smaller than the case of single HMAMD. We also show the energy contributions from the even and odd channels of the UCOM for $^3$H in Fig. \ref{fig:channels}.
\begin{figure}[htbp]
  \centering
  \includegraphics[width=0.6\textwidth]{channels.eps}
  \caption{The energy of the $^3$H nucleus calculated with double HMAMD by successively adding the even channels (+even) and odd channels (+odd) of the UCOM. \label{fig:channels} }
\end{figure}
In this figure, when introducing only the even channels of the UCOM, the energy will be rapidly reduced while the odd channels contribute a little to the final result. This result shows that the role of the even channel is important rather than the odd channel in the short-range correlation as the discussion reported in Ref. \cite{Lyu2018}.

Next, we add the spin parallel configurations into the calculated model space. This is because the $S_{12}$ tensor operator will change the upward spin parallel states to the downward spin parallel states as $\ket{p\uparrow n\uparrow}\rightarrow \ket{p\downarrow n\downarrow}$, so that the spin parallel configuration of the two neutrons or protons should also be considered. In Table. \ref{table:ffspin}, we show the comparison of the results of $^3$H and $^4$He with the spin parallel or only the natural spin configuration. These calculations are performed with the same parameters for each nucleus and include the double HMAMD basis.
\begin{table*}[htbp]
  \begin{center}
    \caption{The calculation results of $^3$H and $^4$He nuclei with or without the spin parallel configuration. The meanings of the symbols are the same as in the previous table. All the units of the energy are in MeV. \label{table:ffspin}}
    \vspace{2mm}
 \begin{tabular*}{14cm}{ @{\extracolsep{\fill}} l c c c c c c}
    \hline
    \hline
 $^3$H &E &Kin &Cen &Ten &LS &Radius (fm)\\
    \hline
$\ket{p\uparrow n\uparrow n\downarrow}$  &-6.92 &48.18 &-23.44 &-30.01 &-1.66 &1.61\\
$\ket{p\uparrow n\uparrow n\downarrow}+\ket{p\downarrow n\downarrow n\downarrow}$  &-7.08    &48.74   &-23.50  &-30.42 &-1.91 &1.60\\
    \hline
 $^4$He & & & & & &\\
    \hline
$\ket{p\uparrow p\downarrow n\uparrow n\downarrow}$  &-22.10 &95.71 &-56.89 &-58.57 &-2.35 &1.47\\
$\ket{p\uparrow p\downarrow n\uparrow n\downarrow}+\ket{p\downarrow p\downarrow n\downarrow n\downarrow}$ &-23.17 &98.55 &-57.34 &-61.02 &-3.36 &1.46\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table*}
From this table, we can observe a slight improvement in the total energy when adding the spin parallel configuration. These results show that the spin parallel configuration is surely required by the bare $NN$ interaction. Furthermore, we can see that the improvement is mainly coming from the tensor interaction, which means that the spin parallel configuration is favored by the tensor correlation as we discussed before. Even though the contribution from the spin parallel configuration is not so large, it can not be ignored especially for the benchmark calculation.

Finally we compare the present results with the TOSM+UCOM/S-UCOM work \cite{Myo2009} and the TOAMD works \cite{Myo2017PTEP-1}. Here, the S-UCOM is the extension of UCOM by introducing the partial-wave dependence in UCOM, where $S$-wave is only transformed in the even channel. In S-UCOM, the tensor contribution increases from the ordinary UCOM because of the enhancement of the $SD$ coupling by the tensor force. In Table. \ref{table:toamd}, we list our current best results for $^3$H and $^4$He as well as the corresponding TOSM+UCOM/S-UCOM and TOAMD results. The $NN$ interaction adopted in these reference works is also the AV8' interaction. The TOAMD method is basing on the AMD basis as is used in our current work, while the shell model wave functions are used in the work with TOSM with the full optimization of the two-particle two-hole excitations. It is also noted that all methods are variational approach using the bare $NN$ interaction directly.
\begin{table*}[htbp]
  \begin{center}
    \caption{The calculation results of $^3$H and $^4$He nuclei from the HMAMD+UCOM, TOSM+UCOM/S-UCOM, and TOAMD. The meanings of the other symbols are the same as in the previous table. All the units of the energy are in MeV. \label{table:toamd}}
    \vspace{2mm}
 \begin{tabular*}{14cm}{ @{\extracolsep{\fill}} l c c c c c c}
    \hline
    \hline
 $^3$H &E &Kin &Cen &Ten &LS &Radius (fm)\\
    \hline
HMAMD+UCOM  &-7.08 &48.74 &-23.50 &-30.42 &-1.91 &1.60\\
TOSM+UCOM     &-6.02 &44.18 &-22.98 &-26.10 &-1.12 &1.70\\
TOAMD \cite{Myo2017PTEP-1} &-7.68 &47.21 &-22.44 &-30.60 &-1.86 &1.746\\
    \hline
 $^4$He & & & & & &\\
    \hline
HMAMD+UCOM  &-23.17 &98.55 &-57.34 &-61.02 &-3.36 &1.46\\
TOSM+UCOM \cite{Myo2009} &-19.46 &88.64 &-56.81 &-50.05 &-1.24 &1.555\\
TOSM+S-UCOM \cite{Myo2009}&-22.30 &90.50 &-55.71 &-54.55 &-2.53 &1.546\\
TOAMD \cite{Myo2017PTEP-1} &-24.74 &97.06 &-53.12 &-64.84 &-3.83 &1.497\\
    \hline
    \hline
  \end{tabular*}
  \end{center}
\end{table*}
From this comparison, we can first conclude that our HMAMD+UCOM calculation can provide the comparable results as those powerful methods. When comparing with the TOSM+UCOM results, we can find that the HMAMD can gain more energy than TOSM with the UCOM. Furthermore, one can see that the S-UCOM is more efficient than the UCOM with TOSM as shown in the table, which is explained in Ref. \cite{Myo2009}. Thus, it is reasonable to estimate that HMAMD+S-UCOM instead of the UCOM will get lower energy than the present results. The progress may benefit the description of the tensor correlation as it has been done on the TOSM. And when noticing that the TOAMD gains more energy in the tensor part of the Hamiltonian than the HMAMD+UCOM, the S-UCOM could be the solution for the current HMAMD+UCOM work to reproduce or improve the results in comparison with the TOAMD framework. In S-UCOM, we need the partial-wave expansion of the single-particle wave function in AMD \cite{Togashi2009}, which is considered in the future work. The other possible improvement is the addition of the third pair of nucleons having high-momentum in the HMAMD basis states called the triple HMAMD, which is a natural extension of the present double pair case in Eq. (\ref{eq:hmpair}).

\section{Conclusion}
We combine the unitary correlation operator method (UCOM) for short-range part with the double high-momentum antisymmetrized molecular dynamics (HMAMD) as a new variational method for finite nuclei using the bare $NN$ interaction. In HMAMD, up to the two high-momentum pairs excitation is included in the basis states. The UCOM is in charge of the short-range correlation while the HMAMD is expected to be in charge of the tensor correlation. By adopting this new HMAMD+UCOM framework, we calculate the binding energies of the $^3$H and $^4$He nuclei with AV8' interaction, in which the short-range and the tensor correlation are included.

From the results getting from this work, we can conclude that the UCOM has certainly contributed to the energy gain in the final results. We also find that the UCOM has different efficiency in $^3$H and $^4$He cases. It is because the short-range correlation described by the UCOM becomes large in the more compact nuclei. By comparing the calculation results from the single HMAMD and double HMAMD with the UCOM, we find that the double high-momentum pair is essential for the description of both the short-range correlation and the tensor correlation. However, even with the double HMAMD basis, the UCOM is still necessary to improve the description of the short-range correlation. When considering the effect of the tensor operator in the $NN$ interaction, we notice that the spin parallel configuration should contribute to the final wave function. Comparing with the present results from the TOSM+UCOM/S-UCOM and TOAMD, the results getting from this work still have the possibility to be further improved by the S-UCOM, so that has the potential to perform the $ab$ $initio$ calculation in future works.

\label{sec:conclusion}

\begin{acknowledgments}
The authors acknowledge fruitful discussions with Prof. Masaaki Kimura and Prof. Bo Zhou. This work was supported by JSPS KAKENHI Grants No. JP18K03660. Numerical calculations were performed partially in the computer system at RCNP, Osaka University, and the server at theoretical nuclear physics laboratory, Hokkaido University.
\end{acknowledgments}

\bibliographystyle{spphys}

redpajama_set_name: RedPajamaArXiv


text:
eMovix (произносится э-мувикс) — компактный дистрибутив операционной системы Linux, основанный на Slackware. Он запускается с компакт-диска по принципу Live-CD и приспособлен исключительно для просмотра видео-файлов, которые находятся на том же компакт-диске. Непосредственно для воспроизведения используется открытый проигрыватель MPlayer, поддерживающий большинство популярных форматов видео (Divx, MPEG-1, MPEG-2, MPEG-4, WMV и некоторые другие). Также поддерживает показ субтитров и проигрывание музыки в форматах mp3 и Ogg. Поскольку в состав дистрибутива входит только ядро Linux, MPlayer и базовый набор драйверов, то вся программная часть занимает не более 8 mb, оставляя достаточно места для записи на CD собственно видео-фильмов.

Использование и системные требования
Дистрибутив используется исключительно для просмотра видео на компьютерах с неисправным HDD либо вообще без такового. В составе eMovix нет средств для восстановления системы либо установки на HDD. Для успешного использования достаточно любого X86 или X86-64-совместимого компьютера с объёмом RAM 36 mb или больше.
Записать загрузочный диск eMovix можно с помощью специальной программы MovixMaker-2 либо универсального средства для прожига дисков K3b, входящего в состав рабочего окружения KDE.

Миниатюрные дистрибутивы Linux

redpajama_set_name: RedPajamaWikipedia


text:
XIX. Summary of the fauna of Funafuti
Charles Hedley; T. Cooksey; J. P. Hill; Alfred J. North; W. J. Rainbow; Edgar R. Waite; T. Whitelegge
Australian Museum Memoir
The fauna of the Atoll of Funafuti, as presented by different writers in the preceding pages, will now be briefly enumerated in systematic order. With that information will also be incorporated various records, either overlooked in the preparation of the articles referred to, or produced since their publication, and embracing the Archipelago as a whole.
Prior to the advent of the Expedition, not more than eight species of animals were recorded in literature from Funafuti; the following lists embrace about eight hundred and fifty entries.
Though the student of Zoogeography will herein find a more complete account of the life of a Central Pacific Atoll than has previously appeared, he is cautioned not to use it as an exhaustive catalogue. The results of brief sojourn by a few poorly equipped visitors, may indeed present a picture in which the salient features loom obscurely, as in a partly-developed photograph, but nothing more.
Download Complete Work
Hedley et al., 1899. Aust. Mus. Mem. 3(8): 511–535
Serial Title
10.3853/j.0067-1967.3.1899.505
AUNMA5
/Uploads/Journals/16711/505.enw
/Uploads/Journals/16711/505.pdf
File size: 79kB
/Uploads/Journals/16711/505_complete.pdf
IX. The Enteropneusta. Part I
AM Journal Article
Rock specimens from Funafuti. II. Rock specimens
XVII. The Mollusca. Part I. Gasteropoda
Australian Natural History (1962-1995)
In 1962 the Museum's magazine's name was changed to Australian Natural History (ANH) as it more accurately described the magazine's scope.
The Echinodermata of Funafuti. VII. The Echinodermata
Appendix. The fishes of Funafuti. (Supplement)
XII. The Alcyonaria. Part II
General account of the Atoll of Funafuti. I. General account
The Crustacea of Funafuti. VI. The Crustacea
The insect fauna of Funafuti. IV. The insect fauna
XI. The ethnology of Funafuti
XIII. The sponges of Funafuti

redpajama_set_name: RedPajamaCommonCrawl


Hay There Farmer! Android and iOS. This is a Luck & Goal Event.
1. There are 2 Guinea Pigs that can be won - from completing 10 goals or Collection Gallery. You get a Rodent Grotto in your storage when you win either one of them.
There are two different Guinea Pigs that can be won from this event. One is in the Collections Gallery, and the other is a prize for completing the 10 Goals related to this event.
The collection prize is the guinea pig pictured in the "The Hayride Collection Event" quest. This also displays all possible collection items.
The final quest prize is the white and black guinea pig pictured in the ...(Part x of 10) quest chains.
Guinea Pigs go in the Rodent Grotto which appears in your storage once you get one of the guinea pigs.
2. Subsequent goals unlock at 2:30pm pacific time. Each day unlocks a new collection item.
Part two unlocks tomorrow at 2:30pm Pacific. Each day, the next part of the quest will unlock...in addition to a new collection item.
3. You need to complete Goal 1 to unlock the Alfalfa Hippos.
You will need to complete the first task, Hay Won't You Ride With Me, in order to unlock the Alfalfa Hippos. Hope that helps!
I'll track the goals of low to middle level farms in this post. See Post #2 for goals for high level farms.
Goal 1 of 10: Hay Won't You Ride With Me?
get 1 hay from bakery, give 15 hay, give 25 bread.
I know Morgan's a big fan of do-it-your-self-ing, but I think a baler would help us make more Straw Items! If you're interested I bet you could get all the items you need right now!
As a farm we have quite a bit of hay laying around here. Might you be able to pick me up a few straws?
Hey, you know what loves hay? A Guinea Pig! Maybe if we find enough items around our farm we can make a happy little habitat for a Guinea Pig to call home!
Morgan has you getting hay for the wee little Guinea Pig, but that's just boring! Why don't we get toys for the Guinea Pig that it will actually like?
You think we'll ever be able to get a hippo on the farm? Might be to big, right? How 'bout a mini-hippo? Perfectly sized for a Guinea Pig!
Piper might be on to something here...These little hay creatures are so cute! To make a proper welcome for our Guinea Pig friend, let's get as many items as we can!
Morgan asked me to look at the hay you've got going and you're doing a great job. Why don't cha add some Alfalfa Shoots into your Guinea Pig feast?
These Alfalfa shoots are so green! The more the merrier for our Guinea Pig friend, I think!
Alfalfa! I love it! I'll see if my fox can't help you find some other foxes.
You can catch an Alfalfa Hippo from *any* bait in the Pond but those little critters can be kind of shy ... If you use an Alfalfa Hippo Bait, you'll have a better chance of catching it!
We don't have to make special bait.
Fish with any bait you have. But you can buy a special bait too.
Remember before you do goals there is a collections gallery that I will be saving my parts for at this time.
Judy's eyes widen....now I am turning in those goals.
The goals are a for sure Guinea pig and the collections is Lady Luck!
So are the prizes in the collection and the prizes from the goals completely different? I know that we can get different pets, but how about decorations. Also, what habitat do the Guinea Pigs go in.
I have finished part one and received 5 Spring Meadow paths.
Part 2 like in previous goals like this likely won't be available until tomorrow or the next day.
But beings there are 10 parts to the goals...we could get one goal every day.
I just finished the Goal Part One and there is no part two. Is this a bug or will Part 2 show up when we unlock the next item in the collection?
Am I correct in thinking that only one type of event item drops each day, meaning if you miss one day at any point you cannot complete the event as you will be missing an item needed to turn in a collection, this would mean that you can?t turn in any collections until the final day, and you can only turn in the number of collections that you received on your lowest scoring day, for example, say someone started late on day one and only got one of the hay straws, it wouldn?t make any difference how many items were collected on subsequent days they would only ever be able to turn in one complete collection?
No it means a new item is unlocked at 5:30 pm eastern daylight time each day.
Tomorrow you will collect the new item from whatever and can still collect straw from plane deliveries.
Every item when unlocked can be collected for the rest of the event.
Another thing to remember in past events day 9 and 10 were from fishing and mining.
So don't waste your shovels or pickaxes right now.
At this time, there does not seem to be a special bait needed at the Fishing Pond...at least, the green button that opens the second bait wheel is not active, so perhaps this go-around we will not need to craft anything and can just use regular baits. I'm not saying we won't need to--once that day unlocks, the special bait may unlock as well--just that at this time, it seem to be not necessary.
That said, it might be a good idea to start crafting baits early (or at least limit how much fishing you do) until around day 9.
Oh great to see new pets in this new event!! :D:D I am much motivated by them haha. The lack of pets for last two events didn't quite motivate me. Thanks Storm8 for new event, new pets and also enabling us to win one by goals.
Btw guys, this seems to be like the old Easter Egg Hunt Event where you can win a pet through goals and another when you turn in. So prepare your baits and mining tools. Members who have not expanded to fishing pond or the mine, do them asap. I speculate they are needed for the daily activities.
P.S. The Baler is very useful to start crafting collection items for early turn ins and more chances to win your grand prize.
See Guidelines for Luck event (https://forums.storm8.com/showthread.php?88974-Farm-Story-2-Event-Guide&p=1248486&viewfull=1#post1248486). They unlock every new day from farm activities. Collect them from Day 1 to 10 to get a full collection for turn in.
Okay I'm confused. I get the whole "each day is a new challenge to complete by doing the specific task" thing that is in the list of challenges we have when we poke one of the little people. But what is the one where you poke the little magnifying glass that has the ladybug under it, the one with the mole collection and Butterfly collection.. That is the one that is confusing me because I don't understand how we're supposed to collect the things for that. I have read through this thread three times and I still can't figure it out.
here you go. For Day 1, the collection item drops from plane deliveries. So you need to send your deliveries to get Day 1 drops. Wait for Day 2 to start and check your farm buildings and see where the new item drops from, or you can check event thread to see if others have spotted day 2. Once you have completed all 10 days, you can turn in a full collection at your Collection Gallery for a random prize. Read the guidelines for further explanation.
FYI the Event Guide contains guidelines for every event type. And Post 1 and 2 in event threads give the link to them on how to play. I will add the Event type under Moderator's notes in Post 1 to indicate which event type we are having.
I think you are playing on an android device.
Haha sorry already answered you.
Looks like some nice prizes.
Oh I get it now. Thx for explain. O Btw, the 1st goal for me, android level 33 is give 5 hays only, not 10. Other is the same. 5 plane deliveries, get 1 hay.
Ok thanks good to know ... my farm level is 68 so likely why give more hay.
Glad to help. :) Thanks for the info. I have added your goals to Post 1. Please let me know if the rewards are different.
@Low to middle level farmers - Please help to post your goals.
@Judy - I'll track the goals for low to middle level farms in Post 1 so you can focus and continue with the goals for high level farms in Post 2. :) My goal is the same as yours, I'm at level 87.
When the goal calls for us to Give something we've collected (e.g., Goal 1 asks us to give 5 or 10 Hay Straws), these will be removed from the Collections Gallery. So if you have 5 Hay Straws and you Give 5 Hay Straws to fulfill the goal, you will have 0 showing in the Collections Gallery. Although this seems obvious and self-explanatory, it may become important to keep it in mind later as items become harder to find (especially from the Fishing Pond and the Mine).
For example, you may have just 1 of the Day 10 item and need it to complete a goal, but that 1 also finishes a complete collection that you can turn in for the prize. You can only use it for one or the other option. Whichever one you decide to do, the item will disappear from the Collections Gallery and you will need to find another one before you can do the other task.
My suggestion: do not submit anything until you have at least 1 item beyond what you need. So, for example, if you need to give 5 Hay Straws, wait until you have at least 6 before you Give them to fulfill the goal. At least this way you will always be guaranteed to turn in at least 1 collection in the end.
Another thing for those players that have not done this kind of event before.
A new event item day two will be unlocked in a little over ten hours from now.
Do not harvest your trees or gather from your animals have them ready for that time.
Example orange trees I think takes 16 hours to grow.
If you gather those oranges now then if they were the next item you would not be able to harvest at UNLOCK time.
Same with sheep, pigs...etc make sure they are ready.
Have all your machines full.
Today's Goal is about giving bacon and collecting from the pigs.
Level 33 has 40 Bacons, not 60.
It would be great to have an expansion since this type of event fills our barn. It's been over a year for me. I want to use up my papers. Please!!!
Give your bacon as you collect it.
Other items should be going in the collections gallery.
Everyone note you can buy bacon from the newspaper and give it.
Are the straw bunches only for day 1?
They will continue to be available for the rest of the event, as will each new item as they are unlocked.
As judyandthecat told Lilliepaddd, we are able to buy bacon and give that instead of only collecting it ourselves. I think, though, the delay will be in obtaining the Hay Bundles, as they do not drop 100% of the time when you collect from the pigs. Since we need 20 Hay Bundle you may only need about 10 hours to collect it...or you may need more, depending on how efficient your drop rate is.
Where is day 2 item coming from?
Day 2's item, the Hay Bundle, occasionally drops when collecting from the pigs.
We won't know where each item will drop from until it unlocks at 5:30 pm ET/2:30 pm PT. I don't know if it is different on Android, but for Apple, there is an icon that looks like an exclamation point and has a countdown of days on it. Tapping on that shows what is available. Also, if you go into the Collections Gallery and select the Guinea Pig from the icons at the top, you will see all the items, with the unlocked ones highlighted. Tap on any of the unlocked items and it will tell you where to get them from.
I'm still on part 1 it says I have to give 10 hay straws but I have been sending plane deliveries for 2 days and only got 5,it won't give me any more. I haven't got any hay straw since yesterday.
I'm not sure if it will make a difference, but when you leave the game do you close the app completely? Also, when you send deliveries, do you send them one after another? Perhaps you can try sending a delivery, close the app after the plane returns, the re-open the app and send the next one, to see if that changes things up a little?
Dont forget to make sure the pig feeds are ready. I forgot that n lost 1 hour to craft them. 6 more hays for me.
Yikes! I just remembered: these collection events almost always have us collecting not only the special item that drops from the livestock, but also a lot of what we collect from the livestock themselves. Day 2 was 60 bacon (30 for lower-level farms), very much following the pattern from previous collection events (e.g., Valentine's 2017, Winter 2016, Easter 2016).
I'm not saying it's definite, but I would strongly suggest saving up Wool now, just in case (previous events have requested 40 wool). I'd say eggs as well, but the chickens produce eggs much, much faster than sheep do wool.
WHOA I never scrolled down and didn't realize there was a nice picture of each prize from the collections gallery.
Added your post under the picture in post two.
Now I was wondering how many prizes.
hmmmm Judy needs a lot of collections to get one of each.
Judy looks at the baler and thinks of purchasing it.
Ha wish I knew if orange trees is one of the days.....they don't like me.
What nice, nice, super nice prizes in the gallery.
Random Lady Luck please be kind!
The rate of bales from the pigs is really bad. Getting 20 is going to be hard and we need even more for collections.
I am confused. Are the prizes listed under The Hayride Collection Event the same as, or different from, the prizes that can be acquired from submitting a collection? One of the tasks cleared when I received the Spring Meadow Paths after completing Goal 1, but the reward for Goal 2 is not one of the listed tasks. Are these two entirely separate, or will there be more overlaps?
The items in the Hayride Collection Quest are items you have a chance to win when submitting a collection.
The 10 main quests reward a few items that are also rewarded from turning in the collection.
The hay bundle drop from pigs is very low... hard to finish task 2.
Can I get the hay fox when I'm not finished the Goal 2 yet?
Unfortunately, hay foxes will not drop until after you have finished Goal 2. Each goal must be completed before the next item begins dropping. Once it starts, however, they will continue to drop until the end of the event.
After read your comment, I tried several times to collect product from my studio and it works! I got the hay fox too... (before i finished goal 2).
I'm Android level 46,and my foxes r dropping even tho I'm out done with goal 2.
Congratulations to all of you. I also apologize. I think I may have confused the parameters for event types--it's been a year since the last collection event, so I mixed the collection event with the goal event. Sorry!
Can we win the black and white guinea pig by turning in or is it only available by goal?
I think that the black and white Guinea pig is won from the quests and the brown and white one is won from the collections.
We used to be able to win both by turning in at the Collection Gallery in past such events. Hopefully it stays the same for this.
15 hay fox is hard. With only 1 studio, been craft nonstop for 8 hours now n got only 5 hay. The shortest time needed for craft 1 item is 1 hour for scarves, n for the last 3 times in a row no hay dropped. Feel broken heart at the 3rd when saw nothing dropped.
When u get to higher levels, u will need a 2nd studio and a ton more livestock, because higher levels craft items that require more materials, so u need more resources. It took me a while to really get this, but I do think that when a building or livestock becomes available for purchase that u get it. Some exceptions, like I'm level 46 and have yet to really NEED a forge. But I do NEED 2 studios. I could really use the 5th mill, but 200k so still making do. The 2nd studio, if u r able, will help u alot in this quest. And if ur not maxed out on livestock, do that.
Yeah, seems like a big waste, but I admit that I've had some luck with using it to craft the last five or six screws I needed to expand my barn. Yes, it took eight hours per screw, but ultimately, considering I had all that iron I was hoarding, it went to good use. So, I make a pickax or shovel now and then, too. I think if they reduced the time it takes to make these things it would be more effective as a resource.
Man, that sounds so far away for me. But I'll tell ya, these events sure help me level up! I was a 44, then made 45 then made 46 just in the last three events!
2 days and I can't get half the fox needed. And now the next goal is seem as hard too. Only get 1 chocolatier drop from 4 crafts. I know I wont be able to finish the goals so I decided not to give anymore, n just keep them for collection.
You may as well keep trying. As long as you keep enough scarves for yourself (and later the Dark Chocolate and any other crafts) to turn in for the goals, you can sell any extras you craft to others, and with the Dark Chocolate, at least, you can always use it in other ways. In continuing to craft, you may very well get all the collection items you need.
I would suggest, don't worry about the count. Keep your buildings crafting, collect when they're done, and check the Collections Gallery maybe once every 4-6 hours. Sometimes, watching the numbers causes unnecessary stress. Just check and move on to other things, like fulfilling deliveries to get coins and xp, etc.
If I still remember well, in the past one step asked for irons, silvers to give so you might slowly collect these (perhaps too early now but closer to the last 2 days maybe?) if you have space. I hope this helps to those playing.
It is a twelve day event and there will be ten different eggs that need to be collected. Each day a different egg is released.
I also bought the forge and NEVER use it. The two studios are worth having. Both are going on scarves right now trying to get that dang 45 finished. I'm making the dark chocolate concurrently so I can make up time when I finish the scarves.
Don't forget the boost from cowbells in market to shorten the wait time on bakery, studio, etc.
What do us android players that dont have cowbells do? Do androids have different goals? Or do I not know about cowbells?
I've heard of cowbell but no clue what they do. Ain't gots not trucks neithuh.
Unfortunately, the Farmer's Market (the trucks) and the cowbells (the rewards from making a truck delivery) are currently iOS only. You can check the Farmer's Market thread for more information.
I am STILL making chocolates and still trying to get the item from it to drop! I am finally over the half way point for collecting that item to give Morgan! UGH!
Heads up if we continue following the easter event then orange trees are tomorrow.
Buy all the orange trees you are allowed.
And remember it is 16 hours to ripen so do not harvest them after midnight eastern daylight savings time today.
Keep crafting and save those pickaxes and shovels for mining.
Sending planes helps to get those two items.
And keep crafting hooks because we don't know if we need a special hook yet or if we will be able to fish with dough balls. I have 30 in my barn.
Let's bring those guinea pigs home.
Goal 5 for low level is the same as the high level, get 1 hay from bakery, give 15 hay, give 25 bread.
Also......my collection gallery is showing the next two levels I have not opened and is collecting to them but the hippo is still locked which it should be because I have not completed that goal. So that tells me there is something wrong if it is allowing me to collect the next two goals when I feed sheep or make bread but it does not for the chocolatier????? Shouldn't the collection gallery NOT ALLOW the collections to start if you have not completed that goal level yet and if the answer is it should, then why am I not seeing any of the hippos I have collected too? This tells me there is a glitch in the goal for the chocolates to drop hippos. It should not take three days to collect enough hippos in this event to be able to catch up and complete these goals. Please check these two requests for me. Thank you.
Finally! Goal 5! 15 hedgehogs and 25 breads! Goal 4 was rough! I think they put the drop rate low on the chocolatier on purpose to slow everybody down and make them play a little catch up. Because I finished goal 5 in less than an hour. Almost every single bread gave me a hedgehog and since I had bread stored because I knew what was coming I only had to make two or three more loaves to get my last couple of hedgehogs.
FYI---I posted earlier regarding this event and the chocolatier not dropping hippos. Just wanted to let the "powers that be" who run Farm story 2 that since three hours ago in making 16 chocolates, I have gotten ZERO hippos dropped. Is that suppose to be that random? I would like to know the ratio that was set up to produce hippos if you are allowed to say. I have two hippos to get to complete this goal and the last five has taken me two days to achieve. All the other goals dropped at a rate that was fair. Not this one. Will not be able to catch up at this rate to complete this event with this glitch. So if anyone else is having this issue, please reply to this and tell me. I contacted storm8 support and received an email that they do not have the support help to answer this. "Bugs and issue" question, which is what I think it is. I am level 65 and have been playing since 2014 so I am qualified to say something is wrong with the number of events I have played.
Thanks and have a stress free, if possible, day trying to obtain your goals and meet them.
Goal one to ten is a separate quest then the collections gallery.
All items are unlocked up to and including number six.
You can collect the items from the above whether you have completed all the goals or not.
In the past some players kept all their event items for the collections gallery rather then give them for goals.
The big thing here is there is a for sure Guinea Pig at the end of goal ten and it is different then the guinea Pig in the collections gallery.
There are ten random prizes in the collections gallery including a guinea Pig.
At the end of the day they might get the pet.
Some players will get the pet in the first turn in....and some no matter how many collections they turn in won't.
That is why I really love the option of having a for sure pet at the end of the goals.
One way to get around the chocolatier is to buy the baler.
With the baler you can craft the hippo from the chocolatier using event items from the day before.
I am also having problems collecting hippos from the chocolatier, I have used my one and only bronze cowbell to purchase a boost for the chocolatier, hopefully this will speed the process, I just hope I don't regret it later on and end up wishing I saved my cowbell for something else.
A little information from a neighbour that bought the baler.
I have not verified the following recipes maybe someone that has already bought the baler could post the times.
I think they said three hours to make the last item.
Pigs seem to drop a lot of hay bundles meaning you could use these for making other event items.
The baler is also a separate goal that you get a reward of gems for buying it.
Another note if you gave your hippos to the goal then you would not have any left to show in the collections gallery.
, then why am I not seeing any of the hippos I have collected too? This tells me there is a glitch in the goal for the chocolates to drop hippos. It should not take three days to collect enough hippos in this event to be able to catch up and complete these goals. Please check these two requests for me. Thank you.
The drops from different activities differ for different farms. Yes it's random. You may face difficulties from the Chocolatier while others face difficulties from deliveries, like me, or from bakery or studio etc. Some of your other days' drops will be better than your chocolatier. That's the challenge of the randomness and every player faces it. Not just with events but with parts and papers. I guess this might be your first time experiencing bad drops, perhaps that made you wonder if there's a glitch. Take it from me, that this randomness challenge has happened to me and other players.
- switch making chocolates to another craft, milk or strawberry chocolate perhaps?
Hope these help and the best of luck to you.
Thank you judyandthecat for your response. Yes, the baler would speed up things but I don't wish to spend that many jewels. I have been constantly running the chocolatier for almost 24 hours nonstop and it has only dropped one hippo. Never got an answer if this is normal to drop only one after 20+ chocolate? But thank you.
Some players tried reinstalling their game and found their drops better. You can try that and see if it works for you.
Has anyone purchased the baler? Could you kindly tell me how many last items can be used to craft the next item and how much time will it spend. Now, I consider to buy the baler, but don't know if it's worthy or not? Thank you in advance.
@fisherfarms1..... Yeah the possibility of an orange tree challenge has me a little wary. But there are only 4 challenges left and 7 days to complete them so unless people only play casually, I think this should be pretty doable.
Thank you so much for the baler information.
Glad that it is an easy goal after the Sheep goal which I am still on.
I'm going to continue to hoard oranges in cas they ask for them tomorrow, or the upcoming days.
I was surprised it was apples but I only got one alfalfa from the eight trees so could be a long haul. Second round of eight trees and only one again. So I'm guessing it's going to take a few days.
Bonus there is a goal you get gems back for buying it too bringing the price down more.
What's the second goal after you buy the Baler? I can afford it now, but if the net cost is going to be 70 gems with no other value after, then I need to seriously consider whether or not I actually need the Baler right now.
That's what I'm concerned about. Whatever the reward is for completing the 2nd goal, it would need to be something I'd be willing to give up 70 gems over...and if it is just coins or XP, then I don't think the Baler will be for me.
Does anyone know what the 2nd goal after obtaining the Baler is?
I think that not being able to get much, if any, hay from the plane drops makes buying a hay bailer a useless endeavor; unless it makes hay.
I only got 2 dropped out of 8 trees. Not giving them to Morgan until I hv some spare for the Collection. The Collection will be my last hope in case I can't finish the coming up goals.
Like whoa so we get 10 gems back and then another 15 gems back and it is on sale.
Really increasing amount of collections we can turn in.
Thanks Judy for correcting my post. You do need to create one of each event item. Sorry wasn't paying attention at 5 am this morning.
I am so happy you said there was 15 more gems reward because that was the incentive i needed to buy it so a huge thank you to you.
I don't want to fight apple trees.
Judy does a happy dance with the cat.
Same! Apples barely dropping any hay. I?ve collected apples 3 times and only got 1 hay so far and I think we need 8? Is this a glitch?
Really wish I could reply that this is a glitch. My drops are just as bad as yours. Keep trying, we still have time.
Somewhat against my better judgment, I got the Baler. I hope I don't end up regretting it later.
I finished the apple challenge so quick. Loving these prizes! The hay rooster is darling. I wish I could get maps though! I'm trying to expand so I have room to display my new stuff. I have 70 permits!!!!!!!! Have only gotten3 maps in the last week, and 2 of those were from the newspaper! UGH! But I am ok. Because I love these challenges this week!
It is already hard enough with the apple trees, but the fryer is worse. 10 item fried, only got 1 hay. Well, 6 days to go let see if it will get better.
Oh dear, here we go... the drops of apples trees and fryer are bad. I didn't get any drop from last collections of apple trees and only 1 from fryer.
I just turned in my first collection courtesy of the baler.
I love my dancing chicken best but this pig rolling in mud is pretty awesome.
Just want to say a big thank you to judyandthecat and all the other posts. It has really been helpful. Good luck getting the guinea pigs everyone.
It is cuteeee Judy haha congrats!. I want one too.
Well, another day, collecting from Apple trees, zero drop - oh, well, I didn't need another pet to feed anyway - and on my small farm, one drop from the fryer. It's interesting that my small farm is at a high enough level that I need the same parts for both - and I'm having the same low drop rates on both.
It's...well, it is what it is. If you're getting a high enough drop for some items that you feel comfortable sacrificing two of them to craft one of the next higher item, then it's worth it. I'm receiving enough of the first two (deliveries and pigs) that I am willing to craft some of the next items. If this continues, I will work on moving more items along to supplement whatever I'm not getting from the Deep Fryer (and, I am sure, the Fishing Hole and the Mine).
My goal 9 is hippo dropped from chicken. I hv not unlocked the goal yet but the chicken already gave some. Anyone knows what to give to Morgan for goal 9 low level ?
Buying the hippobait proved to be a challenge for the old lady.
It is not in the store where I thought it would be.
So I went to my list of to do and pressed on it and got this.
Then I hit the buy button on the above screenshot and was taken to the pond.
Costs 19 gems but you get 19 gems for buying so first hook is free.
I don't see where it can be crafted.
Try scrolling down on to do list I didn't see it at first.
With the baler can you make even the items that haven?t been released yet then ?
Yes you can that is how I turned in a collection today.
You need to complete Goal 1 to unlock the Alfalfa Hippos.
Anyone know why it says to craft special bait when we can't craft it?
Anyone know why it says to craft special bait when we can?t craft it?
I guess that it's an error or that text may not be able to get changed. If you tap on the bait it will say "Buy with Gems"
I cannot craft the hay bait.
And while it is being fixed, you can tell us what do we need to craft it, so we can stack up.
I decided to try the golden lure to see if I could 'catch' the alfalfa hippo. With my usual luck the three lures I used came back with only fish. If anyone else tries the golden lure and does catch the hippo can you post to let us know?
I got using dough bait so I didn't try with golden lure.
I don't think we can craft the hippo bait, looks like we can only purchase. Try using normal baits. They work.
I just used three golden lures. Got fish with the first two; then on the third, I got 14 hippos. So far, my regular baits have not given me hippos, though some people apparently have received some hippos from the regular craftable bait types.
Thank you for the update. I have been getting hippos from the dough bait, 1 set out 6/7 lures used. My stockpiles of dough bait lures will be used up pretty quickly at this rate. I may go back and try a couple more golden lures since the message said all lures would work. Maybe if I cross my fingers by luck will be better.
That is the danger of using specialty baits. There is never a guarantee that they will catch what you want them to, despite that they are only available during that specific time.
So far, I have been able to collect a lot of hippos with the dough baits, even though it did wipe out the 50+ I had stockpiled (though, on the bright side, I did also need to catch Catfish and Anchovies, so it worked out).
This is a little disappointing, sorry to hear that this happened to you. I did purchase the one 19 gem special bait to complete the task and received the regular 2 hippos. I thought that the special bait had a guaranteed drop for the hippos.
I'm finally finished stage 9/10 I used golden lure and got 14 hippos I haven't got the option to craft baits for event .
For me the fox from the deep fryer is much shier than the hippo from the pond although I am almost out of lures. I did use a fourth golden lure and this time I received 15 Hippos.
Hi , does anyone know if we can get more than 1 pig from turn in ? I got mine after 1st try and not sure if I use the remain collection to turn in or to complete another quest.
You have to complete GOAL 1 or the hippos will not unlock in the pond.
Did you complete goal 1?
There is a different Guinea Pig available from doing the goals.
And a Big Congratulations on getting the Guinea Pig!
Yes, it is possible. In past events, some players have turned in collections and successfully received 3+ pets (grand prize for the event).
Wow, one hay bale from Apple trees...unreal.
Don't give up. I finished goal 8, am 1 anchovy away from finishing 9 and already have everything for goal 10. So it can finish real quick. Still 4 days! Hang in there.
Guinea pig is ADORABLE!!!! When he wants fed, he is on his back with his feet kicking in the air! Thank you to everyone who posted help on the goals! Very much appreciated!!!
Congrats!! You can get multiples brown guinea pig from collection gallery. I'm not sure if you can get the black and white guinea pig from collection gallery too; you can get it via goal.
Aside to others: Please post if you manage to get the black and white guinea pig by turning in at the collection gallery.
Just for info, I accidentally tapped the straw pony. It rears when you tap it! Very cool! I tried tapping the roosters but they didn't seem to have any animation.
Got my black n white guinea pig from goal n loving it. 3 more days to try my luck on the collection. Thanks storm8 n thx to everyone here for sharing the tips n info n encouragement. Goodluck to all, see you on coming up events.
Did you complete goal 1 in your to do list?
You have to complete it for the hippos on the pond to unlock.
You have to do goal one but not the rest of the goals though there is a really cute black and white guinea Pig at the end of goal ten. As soon as you complete goal 1 the last two will unlock.
There is over sixty hours left so thank goodness you have time.
I have the little guinea pig from doing the goals . So happy ! This was a fun event .Thank you .
Yes you can get more guinea pigs from turning in. I got 3 after approx 25 turn ins.
It should be in your cellar.
Thank YOU!!!! It's SO cute :o Good luck to everyone!
It's a good think I did the goals to get the guinea pig because the fryer isn't giving anything out! Same with apple trees- you shouldn't make the drop so hard from an item you can barely collect from.
Do you have to have special bait for the fishing? If so how do I make it?
You can use any baits you would like to get the Alfalfa Hippos. There is also a special bait that you can buy for gems and I am guessing that it yields more hippos, but it is not mandatory.
Based on past collection events if I didn't receive at least one pet by the time I turned in the 20th collection I never received the pet no matter how many collections I turned in. I just submitted the 20th collection and so far only decorations. With the almost zero drop rate from the apple trees and the deep fryer the only way I will be able to turn in any additional collections is to use the baler to craft the alfalfa bales and foxes.
Congratulations for those players who have already won the pet and good luck to those still trying.
I was doing well with the foxes until yesterday. They have shut off for me too. Today alone I have made at least two dozen fries and got ONE fox from it. I also cannot get anchovies. I don't mind working to earn the rewards, but the drop rate for what is needed makes me want to quit instead of try harder. I'm using my baler, but it irks me to waste so much time and resources.
I'm having the same problems. Fryer and apples. Got my guinea pig from goals but have to use the baler to make foxes. Heres hoping I can get enough collection to get him a friend! Good luck everyone. And thanks to all those who have posted. I wouldnt have been able to do it without the heads up on the upcoming goals.
Im not getting anything for fishing, I even bought the special bait & even though it took my gems and gave me a bait, it wont let me actually use it. So what is wrong with this game?
Collected apples from both farms 2 times today and got zero event parts from small farm and one from big farm. I was only able to collect 2 times due to weekends being busy with family.
I am at level 40; nothing from pond, mine, chickens or coco trees? Where should I still try?
I don?t see any special bait for sale at all. Where did you find it?
I didn?t realize you had to do level one to just work on the collection part of the event. I never finished it because the hay nail drop was very very poor and I never got 10 bales of hay.
Sorry, that was meant to read,? the hay drop? from deliveries was so low I could finish level one. Why do I need to give away 10 hay to work on the other collection event? It doesn?t seem right?
OMG I love my little piggy! He's adorable! I still want a unicorn, but this guy is awesome! I generally don't buy boosts and just make do the best I can, but this hay baler (before the sale, hrmph) was a great investment. I would STILL be making alfalfa foxes if I did t have it.
The hippo bait was a red herring for me (no pun intended) wasted 19 gems on that for my 2nd attempt, but, hey, knew what I was getting into. Have had no problem getting hippos from the pond, but I stockpiled dough bait for like 5 days assuming I'd need it. Apple trees and deep fryer are really stingy, but that's why I'm using the baler. Like these luck events alot. This was challenging but attainable. Winner.
Scroll down on the tasks pane, you have to give anchovies and catfish!
In the collections gallery, touch the item you are missing and you will see text appear telling you where to collect from.
So, just collected apples and for the seventh time I have received 1 alfalfa from eight trees! If this is how it is going to go I am never going to finish this event - it is frustrating enough for android users anyway with the reduced functionality and game play. I don't for one minute believe it is random drops so come on storm8 and help us out a bit!
Drop rate is very low for French fries and higher for other items. If you have bronze cowbells from van deliveries, use them to boost preparation times for the fryer until you have the alfalfa foxes you need.
I am not getting bronze cowbells - would this possibly be just an ios feature?
I got the g pig from collections, but I can't find the grotto in my storage. Help please.
Voltooi het eerste doel, Hay Won't You Ride With Me, om Alfalfa Hippos uit de vijver te krijgen! Excuses voor het ongemak!
You may have a few more tasks to complete! Please try scrolling down in that goal to see what's left.
You may want to try closing the game and re-opening it to see the Grotto! Sorry for the inconvenience!
I have found another reason to dislike anchovies. Rotten little creatures still remain hidden in my pond. Dang it.
Oh, and I neither need nor want any more straw roosters or hay benches.
Finished this quest, I would not normally post this as it's frustrating reading it when stuck on a quest, I would not have finished it without the baler, so happy that I got it. I could make the foxes from the fryer I was lacking.
The other thing I found is my fryer like many others was near to none drop rate, I found I got more after making sure my barn was full and not collecting the fries until I had about 10 to collect, I would get about 3 foxes doing this whereas collecting 1 or even 3 at a time I would get none.
This is my third time trying to post to thread, so let's see if I have success or 3 times I'm out (ha). I also cannot believe the low drop rate from the apple trees and the fryer. Very, very disappointing that this drop rate continues to be an issue on many of the events. Even so, I've managed with the help of both the baler and Judy to complete the goals challenge. Thank you so much Judy for keeping us updated all along the way as to what each new goal was as it opened each day. I was able to prepare ahead of time and start collecting from those items early, as I would not be finished with a prior day goal. That was a huge help! So thank you!!!


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