Isospin mixing and Fermi transitions for some deformed nuclei

Abstract

We have tried to give a self-consistent explanation of isospin mixing and Fermi beta decays for 54Z68deformed nuclei. The effect of isospin impurity in nuclear ground states on Fermi beta transitions has been investigatedconsidering the restoration of symmetry violations stemming from the mean eld approximation. The isobar analogueexcitations in neighbor odd-odd nuclei have been obtained by following the proton-neutron quasiparticle random phaseapproximation (pnQRPA) procedure. The dependence of isospin admixture probability on the deformation parameterhas been determined for various isotopes of Z 54{68 nuclei. Then the variations of isobar analogue state energies andthedecay log(ft) values with deformation parameter have been calculated for the same nuclei. Thus, the in uences ofthe isospin symmetry violations on Fermi transitions can be clearly understood.