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A measurement of beauty hadron production at mid-rapidity in proton-leadcollisions at a nucleon-nucleon centre-of-mass energy $\sqrt{s_{\rm NN}}=5.02$TeV is presented. The semi-inclusive decay channel of beauty hadrons intoJ/$\psi$ is considered, where the J/$\psi$ mesons are reconstructed in thedielectron decay channel at mid-rapidity down to transverse momenta of 1.3GeV/$c$. The ${\rm {b\overline{b}}}$ production cross section at mid-rapidity,${\rm d}\sigma_{\rm {b\overline{b}}}/{\rm d} y$, and the total cross sectionextrapolated over full phase space, $\sigma_{\rm {b\overline{b}}}$, areobtained. This measurement is combined with results on inclusive J/$\psi$production to determine the prompt J/$\psi$ cross sections. The results in p-Pbcollisions are then scaled to expectations from pp collisions at the samecentre-of-mass energy to derive the nuclear modification factor $R_{\rm pPb}$,and compared to models to study possible nuclear modifications of theproduction induced by cold nuclear matter effects. $R_{\rm pPb}$ is found to besmaller than unity at low $p_{\rm T}$ for both J/$\psi$ coming from beautyhadron decays and prompt J/$\psi$.

european physical journal. c, particles and fields

Prompt and non-prompt J/$\psi$ production and nuclear modification at  mid-rapidity in p-Pb collisions at ${\bf \sqrt{{\it s}_{\text{NN}}}= 5.02}$  TeV