$\beta$-delayed $\gamma$-decay of $^{26}\mathrm{P}$

The $\beta$-decay of proton-rich nuclei is a powerful tool in nuclear science; it can be used to probe quenching of the Gamow-Teller strength, isospin asymmetries, and nuclear astrophysics. $^{26}$P $\beta$-delayed $\gamma$-decay has been recently measured at the National Superconducting Cyclotron Laboratory at MSU with much higher sensitivity than the previous experiment. A fast $^{26}$P beam produced using nuclear fragmentation was implanted into a planar germaninum detector. This detector was surrounded by the SeGA germanium array in order to detect the $\gamma$ rays emitted in coincidence with $\beta$-decays with high resolution. Absolute $\gamma$-ray intensities were measured and a complete decay scheme was built for the allowed transitions to bound excited states of $^{26}$Si. ${\mathrm{Log}}\,ft$ values and Gamow-Teller strengths were determined for each transition and compared to shell model calculations and the $\beta$-decay of its mirror nucleus $^{26}$Na. Results of this study, including a larger Gamow-Teller quenching than the $sd$ shell average and a substantial mirror asymmetry between the $\beta^+$ and $\beta^-$ transitions to the first excited states of $^{26}$Si and $^{26}$Mg, respectively, will be presented and interpreted.