Kondo effect in charm/bottom nuclei

TL;DR

This paper explores the Kondo effect in charm and bottom nuclei involving meson-nucleon interactions, using a mean-field approach to analyze binding energies and quantum fluctuations, and compares results with exact solutions.

Contribution

It introduces a mean-field framework for studying the Kondo effect in charm/bottom nuclei and assesses its validity against exact solutions, including quantum fluctuation effects.

Findings

Mean-field approximation provides a reasonable estimate of binding energies.

Quantum fluctuations beyond mean-field significantly affect the results.

Competition between Kondo effect and other nuclear correlations is discussed.

Abstract

We discuss the Kondo effect for isospin-exchange interaction between a $\bar{D}$, $B$ meson and a valence nucleon in charm/bottom atomic nuclei including the discrete energy-levels for valence nucleons. To investigate the binding energy by the Kondo effect, we introduce the mean-field approach for the bound state of the $\bar{D}$, $B$ meson in charm/bottom nuclei. Assuming a simple model, we examine the validity of the mean-field approximation by comparing the results with the exact solutions. We also estimate the effect of the quantum fluctuation beyond the mean-field approximation. We discuss the competition between the Kondo effect and the other correlations in valence nucleon, the isospin symmetry breaking and the nucleon pairings.