Two-flavored heavy-light mesons' nuclear bound states

TL;DR

This paper investigates the bound states of various heavy-light mesons with carbon-12 nuclei by solving the Klein-Gordon equation, incorporating meson mass shifts and nuclear potentials derived from the quark-meson coupling model.

Contribution

It provides a detailed calculation of meson-nucleus bound states using the Klein-Gordon equation with potentials from the QMC model, including both scalar and vector interactions.

Findings

Bound state energies for multiple mesons in $^{12}$C are computed.

Meson mass shifts and nuclear potentials are quantitatively determined.

Radial wave functions of the bound states are obtained.

Abstract

We calculate the $B^-$-, $\overline{B^0}$-, $D^+$-, $D^0$-, $K^-$-, and $\overline{K^0}$-$^{12}$C bound state energies by solving the Klein-Gordon (K;G.) equation in momentum space, and also obtain the corresponding coordinate space radial wave functions. The strong Lorentz scalar and vector potentials in $^{12}$C are calculated using a local density approximation, where the scalar potentials are obtained based on the mass shifts of the respective mesons in nuclear matter. The mesons' mass shifts, the $^{12}$C nuclear density distributions, the strong potentials as well as the Coulomb potentials, are calculated by the quark-meson coupling (QMC) model.