  First observations of the $B^0_s \rightarrow \psi(2S) \eta$, $B^0 \rightarrow
\psi(2S) \pi^+ \pi^-$ and $B^0_s \rightarrow \psi(2S) \pi^+ \pi^-$ decays are
made using a dataset corresponding to an integrated luminosity of 1.0~$fb^{-1}$
collected by the LHCb experiment in proton-proton collisions at a
centre-of-mass energy of $\sqrt{s}=7$ TeV. The ratios of the branching
fractions of each of the $\psi(2S)$ modes with respect to the corresponding
$J/\psi$ decays are \[ \frac{\mathcal{B}(B^0_s \rightarrow \psi(2S) \eta)
}{\mathcal{B}(B^0_s \rightarrow J/\psi \eta)}
=0.83\pm0.14\,(stat)\pm0.12\,(syst)\pm0.02\,(\mathcalB}), \] \[
\frac{\mathcal{B}(B^0 \rightarrow \psi(2S) \pi^+ \pi^-)}{\mathcal{B}(B^0
\rightarrow J/\psi \pi^+ \pi^-)}
=0.56\pm0.07\,(stat)\pm0.05\,(syst)\pm0.01\,(\mathcal{B}), \] \[
\frac{\mathcal{B}(B^0_s \rightarrow \psi(2S) \pi^+ \pi^-)}{\mathcal{B}(B^0_s
\rightarrow J/\psi \pi^+ \pi^-)}
=0.34\pm0.04\,(stat)\pm0.03\,(syst)\pm0.01\,(\mathcal{B}), \] where the third
uncertainty corresponds to the uncertainties of the dilepton branching
fractions of the $J/\psi$ and $\psi(2S)$ meson decays.

High Energy Physics - Experiment