Femtoscopic correlations and the ${\mathrm{\Lambda }}_{c}N$ interaction

We study the prospects for deducing constraints on the interaction of charmed baryons with nucleons from measurements of two-particle momentum correlation functions for ${\mathrm{\Lambda }}_{c}p$. The correlation functions are calculated for ${\mathrm{\Lambda }}_{c}N$ and ${\mathrm{\Sigma }}_{c}N$ 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 ${\mathrm{\Lambda }}_{c}p$ correlation functions could indeed allow one to discriminate between strongly attractive ${\mathrm{\Lambda }}_{c}N$ forces, as predicted by some phenomenological models, and a weakly attractive interaction as suggested by the presently available lattice simulations.