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 54 ≤ Z ≤ 68 deformed nuclei. The effect of isospin impurity in nuclear ground states on Fermi beta transitions has been investigated considering the restoration of symmetry violations stemming from the mean field approximation. The isobar analogue excitations in neighbor odd-odd nuclei have been obtained by following the proton-neutron quasiparticle random phase approximation (pnQRPA) procedure. The dependence of isospin admixture probability on the deformation parameter has been determined for various isotopes of Z = 54-68 nuclei. Then the variations of isobar analogue state energies and the β decay log(ft) values with deformation parameter have been calculated for the same nuclei. Thus, the influences of the isospin symmetry violations on Fermi transitions can be clearly understood.

Supernova neutrino detection through neutron emission by nuclei

“…This is indeed predicted by theoretical calculations [45] where total GT − is obtained as 72.12 and total GT + as 0.51. Also the Fermi strength of 24.0 goes to the IAS in 132 Cs at an excitation of ∼ 13.8 MeV [53]. Finally, the one and two neutron emission thresholds for the nucleus 132 Cs are at 7.17 and 16.40 MeV, respectively.…”