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

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.