Prompt $\Lambda^+_{\mathrm{c}}$ production in $p\mathrm{Pb}$ collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.02\mathrm{\,Te\kern -0.1em V}$

Production of prompt $\Lambda^+_{\mathrm{c}}$ baryons is studied in proton-lead and lead-proton collisions collected with the LHCb detector at the LHC. The data sample corresponds to an integrated luminosity of $1.58\pm0.02~\mbox{nb}^{-1}$ recorded at a nucleon-nucleon centre-of-mass energy of $\sqrt{s_{_{\mathrm{NN}}}}=5.02\mathrm{\,Te\kern -0.1em V}$. Measurements of the differential cross-section and the forward-backward production ratio are reported using $\Lambda^+_{\mathrm{c}}$ candidates with transverse momenta in the range $2-10{\mathrm{\,Ge\kern -0.1em V\!/}c}$ and rapidities in the ranges of $1.5-4.0$ and $-4.5- -2.5$ in the nucleon-nucleon centre-of-mass system. The ratio of cross-sections of $\Lambda^+_{\mathrm{c}}$ baryons and $\mathrm{D}^0$ mesons is also reported. The results are compared with next-to-leading order theoretical calculations using nuclear parton distribution functions.