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.

arXiv comment8 pages, 2 figures

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• QCD Kondo excitons
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• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Unveiling the Kondo cloud: unitary RG study of the Kondo model
• Spin-orbital magnetic response of relativistic fermions with band hybridization
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• Open charm and bottom meson-nucleon potentials à la nuclear force
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Coupled-channel ${\Lambda }_c{K}^{+}-p{D}_s$ Interaction in Flavor $\text{SU}\left(3\right)$ Limit of Lattice QCD
• Mesic nuclei with a heavy antiquark
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase