Open charm and bottom meson-nucleon potentials à la nuclear force

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.

Comments: 16 pages, 3 figures, 5 tables, published version