Electromagnetic reduced transition properties of the ground state band of even–even 102−106Pd isotopes by means of interacting boson model-I

Abstract

Interacting boson model (IBM-I) has been used to calculate the electric reduced transition probabilities B(E2)↓ from gamma transition 8+ to 6+, 6+ to 4+, 4+ to 2+ and 2+ to 0+ states of even–even neutron rich nuclei 102−106Pd and compared with available experimental values. The ratio of excitation energies of first 4+ and first 2+ excited states, R4/2, has been also calculated for these nuclei. Furthermore, as a measure to quantify the evolution, we have studied systematically the transition rate \( R = B\left( {E2:L^{ + } \to \left( {L - 2} \right)^{ + } } \right)/B\left( {E2:2^{ + } \to 0^{ + } } \right) \) of some of the low-lying quadrupole collective states in comparison to available experimental data. The associated quadrupole moments and deformation parameters have also been calculated. Moreover, we have studied systematic B(E2) values, intrinsic quadrupole moments and deformation parameters of even neutrons from N = 56 to 60 in Pd isotopes. Results of this calculation are in good agreement with the corresponding available experimental data. IBM-I formula for the reduced transition probabilities B(E2) has been analytically deduced in U(5) limit for a few ground states transitions in 102,104,106Pd isotopes.