  The production of prompt $\rm \Lambda_{\rm c}^{+}$ baryons at midrapidity
($|y|<0.5$) was measured in central (0-10%) and mid-central (30-50%) Pb-Pb
collisions at the center-of-mass energy per nucleon-nucleon pair $\sqrt{s_{\rm
NN}} = 5.02$ TeV with the ALICE detector. The results are more precise, more
differential in centrality, and reach much lower transverse momentum ($p_{\rm
T}=1$ GeV/$c$) with respect to previous measurements performed by the ALICE,
STAR, and CMS Collaborations in nucleus-nucleus collisions, allowing for an
extrapolation down to $p_{\rm T}=0$. The $p_{\rm T}$-differential $\rm
\Lambda_{\rm c}^{+}$/D$^0$ production ratio is enhanced with respect to the pp
measurement for $4<p_{\rm T}<8$ GeV/$c$ by 3.7 standard deviations ($\sigma$),
while the $p_{\rm T}$-integrated ratios are compatible within 1$\sigma$. The
observed trend is similar to that observed in the strange sector for the
$\Lambda/$K$^0_{\rm S}$ ratio. Model calculations including coalescence or
statistical hadronization for charm-hadron formation are compared with the
data.
