Two-flavored heavy mesons' nuclear bound states

TL;DR

This study predicts the existence of bound states of $B_c$ and $B_s$ mesons within nuclei by calculating their energies and wave functions, indicating potential signatures of medium modifications in nuclear matter.

Contribution

It provides the first calculation of $B_c$ and $B_s$ meson-nucleus bound states using the Klein-Gordon equation and mass shifts from nuclear matter.

Findings

Bound state energies for $B_c$ and $B_s$ mesons in nuclei.

Negative mass shifts indicating strong attractive potentials.

Implication of partial chiral symmetry restoration in medium.

Abstract

We calculate the $B_c$- and $B_s$-nucleus bound state energies and coordinate space radial wave functions by solving the Klein-Gordon equation in momentum space. The attractive strong potentials for the $B_c$ and $B_s$ mesons in nuclei are calculated from the respective mass shifts of these mesons in nuclear matter using a local density approximation. This negative mass shift may be regarded as a signature of partial restoration of chiral symmetry in medium in an empirical sense, because the origin of the negative mass shift in the present study is not directly related to the chiral symmetry mechanism.