We study the Kondo effect for a Σc (Σ ∗ c) baryon in nuclear matter. In terms of the spin and isospin (SU(2)spin × SU(2)isospin) symmetry, the heavy-quark spin symmetry… Click to show full abstract
We study the Kondo effect for a Σc (Σ ∗ c) baryon in nuclear matter. In terms of the spin and isospin (SU(2)spin × SU(2)isospin) symmetry, the heavy-quark spin symmetry and the S-wave interaction, we provide the general form of the Lagrangian for a Σc (Σ ∗ c) baryon and a nucleon. We analyze the renormalization equation at one-loop level, and find that the coexistence of spin exchange and isospin exchange magnifies the Kondo effect in comparison with the case where the spin-exchange interaction and the isospin-exchange interaction exist separately. We demonstrate that the solution exists for the ideal sets of the coupling constants, including the SU(4) symmetry as an extension of the SU(2)spin × SU(2)isospin symmetry. We also conduct a similar analysis for the Kondo effect of a D̄ (D̄∗) meson in nuclear matter. On the basis of the obtained result, we conjecture that there could exist a “mapping” from the heavy meson (baryon) in vacuum onto the heavy baryon (meson) in nuclear matter.
               
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