Observation of $ Λ_b^0 \to ψ(2S)pK^-$ and $ Λ_b^0 \to J/ψπ^+ π^- pK^-$ decays and a measurement of the $Λ_b^0$ baryon mass

The decays $ Λ_b^0 \to ψ(2S)pK^-$ and $ Λ_b^0 \to J/ψπ^+ π^- pK^-$ are observed in a data sample corresponding to an integrated luminosity of 3fb$^{-1}$, collected in proton-proton collisions at 7 and 8TeV centre-of-mass energies by the LHCb detector. The $ψ(2S)$ mesons are reconstructed through the decay modes $ψ(2S)\toμ^+μ^-$ and $ψ(2S)\to J/ψπ^+π^-$. The branching fractions relative to that of $ Λ_b^0 \to J/ψpK^-$ are measured to be \begin{eqnarray*} \frac{\mathcal{B}(Λ_b^0 \to ψ(2S) pK^-)} {\mathcal{B}(Λ_b^0 \to J/ψpK^-)} & = & (20.70\pm 0.76\pm 0.46\pm 0.37)\times10^{-2} \,, \frac{\mathcal{B}(Λ_b^0 \to J/ψπ^+ π^- pK^-)} {\mathcal{B}(Λ_b^0 \to J/ψpK^-)} & = & (20.86\pm 0.96\pm 1.34)\times10^{-2} \,, \end{eqnarray*} where the first uncertainties are statistical, the second are systematic and the third is related to the knowledge of $J/ψ$ and $ψ(2S)$ branching fractions. The mass of the $Λ_b^0$ baryon is measured to be $$ M(Λ_b^0) = 5619.65 \pm 0.17 \pm 0.17\mathrm{MeV}/c^2,$$ where the uncertainties are statistical and systematic.