%0 Unpublished work %T Axial-Vector Coupling Constant in Nuclei and Dense Matter %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A Rho, Mannque %Z 1 figure %Z t17/112 %8 2017-07-17 %D 2017 %Z 1705.10864 %Z Physics [physics]/Nuclear Theory [nucl-th]Preprints, Working Papers, ... %X 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. %G English %2 https://cea.hal.science/cea-01562873/document %2 https://cea.hal.science/cea-01562873/file/1705.10864.pdf %L cea-01562873 %U https://cea.hal.science/cea-01562873 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-UPSAY %~ UNIV-PARIS-SACLAY %~ CEA-UPSAY-SACLAY %~ CEA-DRF %~ TEST-HALCNRS %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE