Spin-isospin Kondo effects for Σc and Σc* baryons and D ¯ and D¯* mesons
Abstract
We study the Kondo effect for a Σc (Σc*) 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 (Σc*) 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 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 D ¯ (D¯*) 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.
- Publication:
-
Physical Review C
- Pub Date:
- October 2019
- DOI:
- 10.1103/PhysRevC.100.045201
- arXiv:
- arXiv:1905.02478
- Bibcode:
- 2019PhRvC.100d5201Y
- Keywords:
-
- High Energy Physics - Phenomenology;
- Condensed Matter - Strongly Correlated Electrons;
- Nuclear Theory
- E-Print:
- 28 pages, 7 figures