Nuclear axial currents from scale-chiral effective field theory

  • By incorporating hidden scale symmetry and hidden local symmetry in the nuclear effective field theory, combined with the double soft-pion theorem, we predict that the Gamow-Teller operator coming from the space component of the axial current should remain unaffected by the QCD vacuum change caused by the baryonic density, whereas the first forbidden beta transition operator coming from the time component should be strongly enhanced. While the latter has been confirmed for some time, the former was given support by a powerful recent ab initio quantum Monte Carlo calculation for light nuclei, which also confirmed the old "chiral filter hypothesis." Formulated in terms of the Fermi-liquid fixed point structure of strong-coupled nuclear interactions, we offer an extremely simple resolution to the long-standing puzzle of the "quenched gA," gAeff≈ 1[1], found in nuclear Gamow-Teller beta transitions, giant Gamow-Teller resonances, and double beta decays.
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Yan-Ling Li, Yong-Liang Ma and Mannque Rho. Nuclear axial currents from scale-chiral effective field theory[J]. Chinese Physics C, 2018, 42(9): 094102. doi: 10.1088/1674-1137/42/9/094102
Yan-Ling Li, Yong-Liang Ma and Mannque Rho. Nuclear axial currents from scale-chiral effective field theory[J]. Chinese Physics C, 2018, 42(9): 094102.  doi: 10.1088/1674-1137/42/9/094102 shu
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Received: 2018-03-21
Revised: 2018-06-17
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    Supported by National Science Foundation of China (NSFC) (11475071, 11547308) and the Seeds Funding of Jilin University

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Nuclear axial currents from scale-chiral effective field theory

  • 1.  Center for Theoretical Physics and College of Physics, Jilin University, Changchun 130012, China
  • 2.  Institut de Physique Thé
Fund Project:  Supported by National Science Foundation of China (NSFC) (11475071, 11547308) and the Seeds Funding of Jilin University

Abstract: By incorporating hidden scale symmetry and hidden local symmetry in the nuclear effective field theory, combined with the double soft-pion theorem, we predict that the Gamow-Teller operator coming from the space component of the axial current should remain unaffected by the QCD vacuum change caused by the baryonic density, whereas the first forbidden beta transition operator coming from the time component should be strongly enhanced. While the latter has been confirmed for some time, the former was given support by a powerful recent ab initio quantum Monte Carlo calculation for light nuclei, which also confirmed the old "chiral filter hypothesis." Formulated in terms of the Fermi-liquid fixed point structure of strong-coupled nuclear interactions, we offer an extremely simple resolution to the long-standing puzzle of the "quenched gA," gAeff≈ 1[1], found in nuclear Gamow-Teller beta transitions, giant Gamow-Teller resonances, and double beta decays.

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