IBM-2 calculations of some even–even neodymium nuclei

Abstract

In this study, we determined the most appropriate Hamiltonian that is needed for present calculations of nuclei in the A≅130 region by the view of projection of IBM-2 parameters onto IBM-1. The interacting boson model has been widely used for describing the quadrupole collective states of the medium heavy nuclei and no distinction is made between proton and neutron variables when the first version of the model (IBM-1) is applied. So, triaxiality can be described explicitly, through the introduction of cubic terms in the boson operators. However, the microscopic foundations state certainly that it is very important to describe the proton and neutron variables explicitly. This is also a generalized definition of the second version of the IBA-model (IBM-2 model). Using the best-fitted values of parameters in the Hamiltonian of the IBM-2, we have calculated energy levels and B(E2) values for a number of transitions in 144,146,148,150,152,154Nd. The results were compared with the previous experimental and theoretical data and it is observed that they are in good agreement. Many B(E2) values that are still not known so far are stated and the set of parameters used in these calculations is the best approximation that has been carried out so far. It has turned out that the interacting boson approximation (IBA) is fairly reliable for the calculation of spectra in the entire set of 144,146,148,150,152,154Nd isotopes.