Effect of shell corrections on the beta decay isobaric mass parabolas

The beta decay isobaric mass parabolas have been studied for isobaric families in di erent mass regions. The mass parabolas have been studied using the semi empirical mass formula of Seeger to find the most stable isobar for a particular isobaric family. In addition to liquid drop part VLDM, the shell correction part δU to give binding energy B. E. = VLDM + δU, defined within Strutinsky renormalization procedure, has been used. To elucidate the role of shell e ects on the structure shape of mass parabola, we have made comparison for the δU = 0 and δU ≠ 0 cases. For a particular mass value of isobaric family, the results show that with the inclusion of shell corrections i.e. δU ≠ 0, the minimum for the most stable isobar is strongly pronounced compared to the case without shell corrections. In other words, shell corrections significantly enhance the stability of stable isobar. The study reveals that the role of shell effects on the mass minima is more pronounced in heavy mass region compared to light and intermediate mass regions.