The quenching of the axial coupling in nuclear and neutron-star matter

Using a chirally invariant effective Lagrangian, we calculate the density and isospin dependencies of the in-medium axial coupling, gA∗, in spatially uniform matter present in core collapse supernovae and neutron stars. The quenching of gA∗ with density in matter with different proton fractions is found to be similar. However, our results suggest that the quenching of the nucleonʹs gA∗ in matter with hyperons is likely to be significantly greater than in matter with nucleons only.