Spin-isospin Kondo effects for Σc and Σc* baryons and D¯ and D¯* mesons

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 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.

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      "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"
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  "abstracts": [
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      "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."
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Published on:
15 October 2019
Publisher:
APS
Published in:
Physical Review C , Volume 100 (2019)
Issue 4
DOI:
https://doi.org/10.1103/PhysRevC.100.045201
arXiv:
1905.02478
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: