The recent experimental data on the decay of isobaric analog states in ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}$, and ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}$ to their low-lying normal-parity states are analyzed. The calculations are carried out in the framework of the Hartree-Fock projection method by considering all the nucleons in the configuration space of the first four major oscillator shells and employing a realistic nucleon-nucleon interaction. It is found that the calculated energy spectrum of ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}$, static moments, and $\Delta T=0\mathrm{}$ electromagnetic transition strengths in these nuclei agree very well with the experimental data. The $\Delta T=1\mathrm{}M1\mathrm{}$ transition strengths and the corresponding $\mathrm{ft}$ values calculated from the projected wave functions are also in good agreement with the experimental observations. The agreement for the $\Delta T=1\mathrm{}$ transitions between the present and the shell-model calculations is found to be nearly as good as that in the case of $\Delta T=0\mathrm{}$ transitions.

• Received 20 December 1971

DOI:https://doi.org/10.1103/PhysRevC.5.1860