New measurements of $\gamma $-ray branching ratios in the $\beta ^{+}$ decay of $^{32}$Cl

We have determined the $\gamma $-ray branching ratios in the $\beta ^{+}$ decay of $^{32}$Cl using a high-purity Germanium (HPGe) detector at the Texas A{\&}M University Cyclotron. Our experiment was motivated by a recent measurement of isospin symmetry breaking correction ($\delta _{c})$ in $^{32}$Ar which has implications for the extraction of V$_{ud}$ from other superallowed decays. The experimental result for this superallowed decay [$\delta _{c}$ = (2.0 +/- 0.8){\%}] agrees with the theoretical predictions but is not a stringent test of theory. By measuring the $\gamma $-ray branching ratios in the $\beta ^{+}$ decay of $^{32}$Cl (a decay product of $^{32}$Ar) the detector efficiencies can be better determined allowing for a more precise determination of $\delta _{c.}$ Furthermore these branching ratios are important in the study of various nuclear decay schemes and transition rates. Previous measurements of the $\beta ^{+}$ decay of $^{32}$Cl are 35 years old and contain uncertainties of up to 40{\%}. Our preliminary results agree with past data and additionally we've identified previously unseen branches and reduced the uncertainties by an order of magnitude.