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The production of prompt $\Lambda^+_\mathrm{c}$ baryons is measured via theexclusive decay channel $\Lambda^+_\mathrm{c}\to$ pK$^-\pi^+$ at acenter-of-mass energy per nucleon pair of 5.02 TeV, using proton-proton (pp)and lead-lead (PbPb) collision data collected by the CMS experiment at the CERNLHC. The pp and PbPb data were obtained in 2017 and 2018 with integratedluminosities of 252 and 0.607 nb$^{-1}$, respectively. The measurements areperformed within the $\Lambda^+_\mathrm{c}$ rapidity interval $\vert y\vert\lt$ 1 with transverse momentum ($p_\mathrm{T}$) ranges of 3-30 and 6-40GeV/$c$ for pp and PbPb collisions, respectively. Compared to the yields in ppcollisions scaled by the expected number of nucleon-nucleon interactions, theobserved yields of $\Lambda^+_\mathrm{c}$ with $p_\mathrm{T}\gt$ 10 GeV/$c$ arestrongly suppressed in PbPb collisions. The level of suppression dependssignificantly on the collision centrality. The $\Lambda^+_\mathrm{c}$/D$^0$production ratio is similar in PbPb and pp collisions at $p_\mathrm{T}\gt$ 10GeV/$c$, suggesting that the coalescence process does not play a dominant rolein prompt $\Lambda^+_\mathrm{c}$ baryon production at higher $p_\mathrm{T}$.

Study of charm hadronization with prompt $\Lambda^+_\mathrm{c}$ baryons  in proton-proton and lead-lead collisions at $\sqrt{s_\mathrm{NN}}$ = 5.02  TeV