Nuclear Structure and Properties Study of the Even-Even 106-116 Pd Nuclei

Abstract

Systematic evaluation of reduced electric quadruple transition probabilities B ( E 2), provides critical insights in studying nuclear structural properties. The B ( E 2) for the gamma transition 0 + to 2 + , 2 + to 4 + , 4 + to 6 + , and finally 6 + to 8 + excited states for the even-even 106-116 Pd isotopes have been computed in our present study by means of the global best fit (GBF) method. Then, the quadruple moment, Q 0 and the deformation parameter, β for low-lying quadruple collective states of the Pd nuclei with the even neutron numbers, N = 60 - 70 have also been calculated. The deviation of the spherical nuclear structure of the even-even 106-116 Pd has been studied using those key parameters, namely, quadruple moment and deformation parameter. Moreover, the variable moment of inertia (VMI) model was employed to elucidate collective rotational behavior of Pd isotopes. Lastly, the estimated values of the first 4 + to 2 + excited states energy ratios of these even-even 106-116 Pd isotopes exhibit excellent concordance with experimental data, which manifests γ -unstable O(6) symmetrical behavior during the transitions.