Fermi and Coulomb Matrix Elements fromβ−γ(Circularly Polarized) Correlation Measurements onV48andMn52m

$\beta -\gamma$ (circularly polarized) correlation measurements have been made for the $T=1\mathrm{}$ to $T=2\mathrm{}$ beta decays of ${\mathrm{V}}^{48}$ and ${\mathrm{Mn}}^{52m}$. The spin sequences permit both Gamow-Teller and Fermi contributions in the transitions: ${\mathrm{V}}^{48}\left[4^{+}\right({\beta }^{+}\left)4^{+}\right({\gamma }_1\left)2^{+}\right({\gamma }_2\left)0^{+}\right]$ and ${\mathrm{Mn}}^{52m}\left[2^{+}\right({\beta }^{+}\left)2^{+}\right(\gamma \left)0^{+}\right]$. The Fermi matrix elements $\left|M_F\right|$, impurity coefficients $\left|{\alpha }_2\mathrm{}\right(1\left)\right|$, and Coulomb matrix elements $\left|〈H_C〉\right|$, all of which must be zero for pure $\Delta T=1\mathrm{}$ $\beta$ transitions, were deduced from the observed asymmetry parameter $A$, using the well-established $V-A$ beta interaction form: