Effect of deformation on gamow-teller strength and electron capture cross-section for isotopes of chromium

Abstract

In this work, we explore the role of deformation parameter (β) on the calculated Gamow-Teller (GT) strength distributions and electron capture cross-sections (ECC) for 46,48,50Cr isotopes within the formalism of the proton neutron-quasi-particle random phase approximation (pn-QRPA). Three different β parameters were used in the present study. Two of them were calculated by using the interacting boson model (IBM) and the macroscopic-microscopic (Mac-mic) models. The third one is the experimental β values obtained by employing its relation with the experimental B(E2)↑ values. The GT strength distributions were widely dispersed among all the daughter states of the given isotopes. They were found to have inverse relation with β parameter i.e decreasing with increasing the β value. The ECC were computed as a function of β parameter and the results suggest that the calculated ECC decreased with decreasing value of the β for the selected cases.