Kondo effect of $\bar{D}_{s}$ and $\bar{D}_{s}^{\ast}$ mesons in nuclear matter

TL;DR

This paper explores the Kondo effect involving $ar{D}_{s}$ and $ar{D}_{s}^{ ext{*}}$ mesons in nuclear matter, analyzing the effective coupling enhancement, the Kondo scale, and the spectral function through renormalization group and mean-field methods.

Contribution

It introduces a detailed study of the Kondo effect for these mesons in nuclear matter, including the calculation of the Kondo scale and the spectral function, which are novel in this context.

Findings

The Kondo scale is derived from the renormalization group analysis.

The ground state exhibits mixing between mesons and nucleons due to the Kondo effect.

Spectral functions reveal the signatures of the Kondo resonance.

Abstract

We study the Kondo effect for $\bar{D}_{s}$ and $\bar{D}_{s}^{\ast}$ mesons as impurity particles in nuclear matter. The spin-exchange interaction between the $\bar{D}_{s}$ or $\bar{D}_{s}^{\ast}$ meson and the nucleon induces the enhancement of the effective coupling in the low-energy scattering in the infrared region, whose scale of singularity is given by the Kondo scale. We investigate the Kondo scale in the renormalization group equation at nucleon one-loop level. We furthermore study the ground state with the Kondo effect in the mean-field approach, and present that the Kondo scale is related to the mixing strength between the $\bar{D}_{s}$ or $\bar{D}_{s}^{\ast}$ meson and the nucleon in nuclear matter. We show the spectral function of the impurity when the Kondo effect occurs.