The isoscalar magnetic moments and Gamow-Teller $\beta$ decay of the systems $A=11,13,15,17,19, \mathrm{and} 21$ are analyzed in an attempt to extract, in a largely model-independent way, the effective nuclear renormalization of the axial coupling constant: $g_A\to g_{\mathrm{Ae}}$. We find: $\frac{g_{\mathrm{Ae}}}{g_A}=0.920\mathrm{}\pm 0.047$.

• Received 24 August 1972

DOI:https://doi.org/10.1103/PhysRevC.7.930