The Quenching of the Axial Coupling in Nuclear and Neutron-Star Matter

Abstract

Using a chirally invariant effective Lagrangian, we calculate the density and isospin dependences of the in-medium axial coupling, $g_A^{\ast }$, in spatially uniform matter present in core collapse supernovae and neutron stars. The quenching of $g_A^{\ast }$ with density in matter with different proton fractions is found to be similar. However, our results suggest that the quenching of the nucleon's $g_A^{\ast }$ in matter with hyperons is likely to be significantly greater than in matter with nucleons only.

4 pages revtex, 2 eps figures

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