Open charm and bottom meson-nucleon potentials \`a la nuclear force

TL;DR

This paper models the interactions between open heavy mesons and nucleons using meson exchange potentials, suggesting possible bound states for charm and bottom sectors, with the sigma exchange being particularly significant.

Contribution

It introduces a potential model respecting chiral and spin symmetries to predict heavy meson-nucleon bound states, extending nuclear force concepts to heavy flavor sectors.

Findings

Possible bound states for $ar{D}N$ and $BN$ with specific quantum numbers.

The sigma exchange potential is crucial in the interaction.

Model parameters are calibrated using phenomenological nuclear potentials.

Abstract

We discuss the interaction of an open heavy meson ($\bar{D}$ and $\bar{D}^{\ast}$ for charm or $B$ and $B^{\ast}$ for bottom) and a nucleon ($N$) by considering the $\pi$, $\sigma$, $\rho$, and $\omega$ exchange potentials. We construct a potential model by respecting chiral symmetry for light quarks and spin symmetry for heavy quarks. Model parameters are adjusted by referring the phenomenological nuclear (CD-Bonn) potentials reproducing the low-energy $NN$ scatterings. We show that the resulting interaction may accommodate $\bar{D}N$ and $BN$ bound states with quantum number $I(J^{P})=0(1/2^{-})$, and a $BN$ bound state with $I(J^{P})=1(1/2^{-})$. We find that, in the present potential model, the $\sigma$ exchange potential plays an important role.