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.
{ "_oai": { "updated": "2021-08-28T22:59:14Z", "id": "oai:repo.scoap3.org:50269", "sets": [ "PRC" ] }, "authors": [ { "raw_name": "Shigehiro Yasui", "affiliations": [ { "country": "Japan", "value": "Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan" } ], "surname": "Yasui", "given_names": "Shigehiro", "full_name": "Yasui, Shigehiro" }, { "raw_name": "Tomokazu Miyamoto", "affiliations": [ { "country": "Japan", "value": "Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan" }, { "country": "Japan", "value": "Graduate School of Engineering Science, Yokohama National University, Tokiwadai 79-1, Yokohama, Kanagawa 240-8501, Japan" } ], "surname": "Miyamoto", "given_names": "Tomokazu", "full_name": "Miyamoto, Tomokazu" } ], "titles": [ { "source": "APS", "title": "Spin-isospin Kondo effects for <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> and <math><msubsup><mi>\u03a3</mi><mrow><mi>c</mi></mrow><mo>*</mo></msubsup></math> baryons and <math><mover><mi>D</mi><mo>\u00af</mo></mover></math> and <math><msup><mover><mi>D</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> mesons" } ], "dois": [ { "value": "10.1103/PhysRevC.100.045201" } ], "publication_info": [ { "journal_volume": "100", "journal_title": "Physical Review C", "material": "article", "journal_issue": "4", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:39:00.902117", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 18 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2019" } ], "control_number": "50269", "record_creation_date": "2019-10-15T16:30:06.954258", "_files": [ { "checksum": "md5:e74a7624d40c1f72bfa6a6ee4c5b2b5a", "filetype": "pdf", "bucket": "9453f45c-0673-4941-a1b6-67ff49314659", "version_id": "8721ba5e-e2f2-4823-b208-02a96fa0a908", "key": "10.1103/PhysRevC.100.045201.pdf", "size": 1649101 }, { "checksum": "md5:3f6d625263b50e40bd5abc0dd5798d8b", "filetype": "xml", "bucket": "9453f45c-0673-4941-a1b6-67ff49314659", "version_id": "7f6c34a2-ed84-4df8-b037-59628c1a87b0", "key": "10.1103/PhysRevC.100.045201.xml", "size": 509671 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "cond-mat.str-el", "nucl-th" ], "value": "1905.02478" } ], "abstracts": [ { "source": "APS", "value": "We study the Kondo effect for a <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> (<math><msubsup><mi>\u03a3</mi><mrow><mi>c</mi></mrow><mo>*</mo></msubsup></math>) baryon in nuclear matter. In terms of the spin and isospin <math><mrow><mo>[</mo><mi>SU</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mi>spin</mi></msub><mo>\u00d7</mo><mi>SU</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mi>isospin</mi></msub><mo>]</mo></mrow></math> symmetry, the heavy-quark spin symmetry and the <math><mi>S</mi></math>-wave interaction, we provide the general form of the Lagrangian for a <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> (<math><msubsup><mi>\u03a3</mi><mrow><mi>c</mi></mrow><mo>*</mo></msubsup></math>) 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 <math><mrow><mi>SU</mi><mo>(</mo><mn>4</mn><mo>)</mo></mrow></math> symmetry as an extension of the <math><mrow><mi>SU</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mi>spin</mi></msub><mo>\u00d7</mo><mi>SU</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mi>isospin</mi></msub></mrow></math> symmetry. We also conduct a similar analysis for the Kondo effect of a <math><mover><mi>D</mi><mo>\u00af</mo></mover></math> (<math><msup><mover><mi>D</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math>) meson in nuclear matter. On the basis of the obtained result, we conjecture that there could exist a \u201cmapping\u201d from the heavy meson (baryon) in vacuum onto the heavy baryon (meson) in nuclear matter." } ], "imprints": [ { "date": "2019-10-15", "publisher": "APS" } ] }