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The production of $\psi(2S)$ mesons is studied in dimuon final states usingproton-lead collision data collected by the LHCb detector. The data samplecorresponds to an integrated luminosity of $1.6~\mathrm{nb}^{-1}$. Thenucleon-nucleon centre-of-mass energy of the proton-lead collisions is$\sqrt{s_{NN}}=5~\mathrm{TeV}$. The measurement is performed using $\psi(2S)$mesons with transverse momentum less than $14~\mathrm{GeV}/c$ and rapidity $y$in the ranges $1.5<y<4.0$ and $-5.0<y<-2.5$ in the nucleon-nucleoncentre-of-mass system. The forward-backward production ratio and the nuclearmodification factor are determined for $\psi(2S)$ mesons. Using the productioncross-section results of $\psi(2S)$ and $J/\psi$ mesons from $b$-hadron decays,the $b\bar{b}$ cross-section in pPb collisions at$\sqrt{s_{NN}}=5~\mathrm{TeV}$ is obtained.

Study of $\psi(2S)$ production and cold nuclear matter effects in pPb collisions at $\sqrt{s_{NN}}=5~\mathrm{TeV}$