Pairing gap energy correction in Shell model for the neutron-rich tin isotopes

Abstract

The region in the vicinity of 132 Sn, gathering numerous isotopes of important masses, shows lots of interests for explaining the most interesting phenomena. It offers among others the possibility to extract the N − N empirical interactions so as to test theoretical shell model description of nuclear structure in this region. The researches on the neutron-rich tin isotopes present the anomalies in a systematic variation on various spectroscopic data such as the first 2+ excited state and reduced probabilities B(E2; 2 + → 0 + ). In order to improve the OXBASH interactions which are based on the shell model calculations, we have modified some neutronneutron and proton-proton tow body matrix elements of CW5082 interaction of 132 Sn region by adding to them the pairing gap energy. The calculations turn out a new interaction so called CWD5082, allowing to determine the excited energies and the reduced probabilities B(E2) of Sn and Te isotopes for A = 134 and 136 masses. The obtained results display a remarkable enhancement in the predictive power of experimental values.

Description of the energy levels and electric quadrupole transitions of the 92Nb and 92Mo nuclei using nuclear shell model

“…All those researchers studied only the energy levels of the mixed configurations of the mentioned nuclei, while researcher Werner et al studied the structure of the isotopes 92 zr, 94 Mo, and 96 Ru, to calculate the excitation energies and transitions of the reduce electric quadrupole (Werner et al, 2002). Finally, studying the isotopes rich in neutrons 132 Sn for calculating reduced electrical transitions B (E2; 2 : → 0 : ) was studied by the researcher Aissaoui et al (Aissaoui et al, 2009).…”