Self-consistent calculations of isospin admixtures in the ground states of the N = Z nuclei in the mass region of 50-100

Abstract

In the present study, based on spherical shell-model wave functions and energies with the pairing and the residual Fermi interaction treated in pn QRPA, the isospin admixture probabilities in the ground state of N = Z even-even nuclei from Z = 28 to Z = 50 are investigated. In these calculations, considering the restoration of the isotopic invariance for the nuclear part of the Hamiltonian, the residual interaction strength parameter in the quasiparticle space has been obtained in such a way that it is self-consistent with the Woods-Saxon form of the shell model potential. As a result of calculations, it has been found that the calculated isospin admixture probability is proportional to a higher power of Z than the results of other theoretical studies.