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

Abstract

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.

arXiv comment8 pages, 4 figures

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• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Femtoscopy of the Origin of the Nucleon Mass
• Exploring the ${\Sigma }^{+}p$ interaction by measurements of the correlation function
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential