  We study the prospects for deducing constraints on the interaction of charmed
baryons with nucleons from measurements of two-particle momentum correlation
functions for $\Lambda_c p$. The correlation functions are calculated for
$\Lambda_c N$ and $\Sigma_c N$ interactions that have been extrapolated from
lattice QCD simulations at unphysical masses of $m_\pi=410-570$ MeV to the
physical point using chiral effective field theory as guideline. In addition,
we consider phenomenological $Y_c N$ models from the literature to explore the
sensitivity of the results to the properties of the interaction in detail. We
find that a measurement of the $\Lambda_c p$ correlation functions could indeed
allow one to discriminate between strongly attractive $\Lambda_c N$ forces, as
predicted by some phenomenological models, and a weakly attractive interaction
as suggested by the presently available lattice simulations.
