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We study the Kondo effect for a $\Sigma_{c}$ ($\Sigma_{c}^{\ast}$) baryon innuclear matter. In terms of the spin and isospin($\mathrm{SU}(2)_{\mathrm{spin}} \times \mathrm{SU}(2)_{\mathrm{isospin}}$)symmetry, the heavy-quark spin symmetry and the S-wave interaction, we providethe general form of the Lagrangian for a $\Sigma_{c}$ ($\Sigma_{c}^{\ast}$)baryon and a nucleon. We analyze the renormalization equation at the one-looplevel, and find that the coexistence of spin exchange and isospin exchangemagnifies the Kondo effect in comparison with the case where the spin-exchangeinteraction and the isospin-exchange interaction exist separately. Wedemonstrate that the solution exists for the ideal sets of the couplingconstants, including the $\mathrm{SU}(4)$ symmetry as an extension of the$\mathrm{SU}(2)_{\mathrm{spin}} \times \mathrm{SU}(2)_{\mathrm{isospin}}$symmetry. We also conduct a similar analysis for the Kondo effect of a$\bar{D}$ ($\bar{D}^{\ast}$) meson in nuclear matter. On the basis of theobtained result, we conjecture that there could exist a "mapping" from theheavy meson (baryon) in vacuum onto the heavy baryon (meson) in nuclear matter.

Spin-isospin Kondo effects for $\Sigma_{c}$ and $\Sigma_{c}^{\ast}$ baryons and $\bar{D}$ and $\bar{D}^{\ast}$ mesons