Spin-isospin Kondo effects for and baryons and and
Shigehiro Yasui (Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan); Tomokazu Miyamoto (Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan, Graduate School of Engineering Science, Yokohama National University, Tokiwadai 79-1, Yokohama, Kanagawa 240-8501, Japan)
We study the Kondo effect for a () baryon in nuclear matter. In terms of the spin and isospin symmetry, the heavy-quark spin symmetry and the -wave interaction, we provide the general form of the Lagrangian for a () baryon and a nucleon. We analyze the renormalization equation at the 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 symmetry as an extension of the symmetry. We also conduct a similar analysis for the Kondo effect of a () 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.