Determination of the 108-112 Pd isotopes identity using interacting boson model

Abstract

Energy levels, B(E2) transitions and potential energy surface for palladium isotopes with proton number Z = 46 and neutron numbers (n) between 62 and 66 have been calculated through the interacting boson model. The set of parameters used in these calculations are the best approximation that has been carried out so far. The ratio of the excitation energies of the first 41+ and the first 21+ excited states, R = E41+ / E21, + is also calculated and an achievable degree of agreement has been investigated in O(6) symmetry for108-112Pd nuclei. The comparison between the calculated energy levels and the transition probabilities B(E2) with those of the experimental show that it is a good agreement. The contour plot of the potential energy surfaces shows all nuclei of interests are deformed and have γ-unstable-like characters.