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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 aremade using a dataset corresponding to an integrated luminosity of 1.0~$fb^{-1}$collected by the LHCb experiment in proton-proton collisions at acentre-of-mass energy of $\sqrt{s}=7$ TeV. The ratios of the branchingfractions 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 thirduncertainty corresponds to the uncertainties of the dilepton branchingfractions of the $J/\psi$ and $\psi(2S)$ meson decays.

Observations of $B^0_s \rightarrow\psi(2S)\eta$ and $B^0_{(s)}\rightarrow\psi(2S)\pi^+\pi^-$ decays