Electromagnetic transitions from the Isobaric Analog states in ¹³C, ¹⁹F, and ³¹P

Abstract

The recent experimental data on the decay of isobaric analog states in ¹³C, ¹⁹F, and ³¹P 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 ¹⁹F, static moments, and ΔT=0 electromagnetic transition strengths in these nuclei agree very well with the experimental data. The ΔT=1M1 transition strengths and the corresponding ft values calculated from the projected wave functions are also in good agreement with the experimental observations. The agreement for the ΔT=1 transitions between the present and the shell-model calculations is found to be nearly as good as that in the case of ΔT=0 transitions.