Document Type : Research Paper

Authors

• H. Sabri
• alireza jabbari
• masoud sayedi

University of tabriz

Abstract

In this paper, in the framework of the interacting boson model (IBM), the method of mixed U(5) and SO(6) symmetry limits has been used to calculate the electric quadrupole transition probabilities between different levels in the isotopic chain of Cadmium (110-104Cd) and in the E < 3 MeV region.In this method, wave functions of different intruder levels are considered as a combination of wave functions in the two N and N+2 bosons spaces and the effect of electric quadrupole transition's operator is determined by them. The effective charges of the transition operator are extracted in comparison with the experimental values of the quadrupole transition rates and then, theoretical predictions of two methods, using only U(5) dynamical limit and mixed of symmetries are compared with each other. The results show that the accuracy of the predictions are increased via mixed of symmetries method in all of considered transitions. On the other hand, the U(5) dynamical limit is only successful in examining the quadrupole transitions between the levels of the ground band and levels with a longer half-life and confirms the existence of a closed neutron sub-shell in the 106Cd nucleus. Also, for such inter-bands transition and also transitions are originated from intruder states, the exactness of the mixed symmetries prediction are obvious.

Keywords

• mixed of symmetries
• electric quadrupole transition probabilities
• intruder state
• interacting boson model (IBM)

Main Subjects

• NUCLEAR PHYSICS AND RADIATION PHYSICS