Search for E(5) behavior: IBM and Bohr-Mottelson model with Davidson potential calculations of some even-even Xe isotopes

Turkan N.

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, vol.34, no.11, pp.2235-2247, 2007 (SCI-Expanded) identifier identifier


The interacting boson model (IBM) 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 is applied. However, the neutrons' and protons' degrees of freedom are described explicitly in the second version of the model (IBM-2). Moreover, the microscopic foundations certainly state that it is very important to describe the proton and neutron variables explicitly and this is also the generalized definition of the second version of the IBA model (IBM-2 model). So, triaxiality can be described explicitly through the introduction of cubic terms in the boson operators. 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 122,124,126,128,130,132,134Xe. The results were compared with the previous experimental and theoretical data and it has been 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 also turned out that the IBA and Bohr Mottelson Hamiltonian with Davidson potential are fairly reliable models for the calculation of spectra in the entire set of 122,124,126,128,130,132,134Xe isotopes.