Axial-Vector Coupling Constant in Nuclei and Dense Matter

Abstract : The in-medium property of the axial-vector coupling constant $g_A$ in nuclei and dense baryonic matter is reformulated in terms of the recently constructed scale-invariant hidden local symmetric ($bs$HLS) Lagrangian. It is shown that unlike the pion decay constant that slides with the vacuum change induced by density, the axial-current constant $g_A$ remains unmodified up to high density relevant to compact stars in nuclear Gamow-Teller transitions (involving the space component of the axial current) whereas it gets strongly enhanced in axial-charge transitions (involving the time component of the axial current) as density nears nuclear matter density $n_0$ and stays more or less constant up to $\sim 6n_0$. The implications of these predictions on giant Gamow-Teller resonances in nuclei and on first-forbidden beta transitions (relevant to nuclear astrophysical processes) are discussed.
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Submitted on : Monday, July 17, 2017 - 10:52:14 AM
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  • HAL Id : cea-01562873, version 1
  • ARXIV : 1705.10864

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Mannque Rho. Axial-Vector Coupling Constant in Nuclei and Dense Matter. 2017. ⟨cea-01562873⟩

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