Calaculations of even-even 100-108Sn isotopes using shell model in the vicinity of 100Sn

Abstract

Large scale shell model calculations for even-even 102-108Sn isotopes were performed to study the excitation energies and transition rates by employing the effective interactions snet, SN100PN and the well-knownDelta interaction. The comparisons of these calculations were done with the most recent available experimental data and with the previous theoretical attempts in the same mass region. The reduced transition probability were also calculated for the chain of Sn isotopes. Very good agreement were obtained by comparing the low-lying energy levels all isotopes under study with the recently available experimental data and with the previous theoretical work using CD-Bonn and Nijmegen1 two-body effective nucleon-nucleon interactions, but studying the transition strengths for Sn isotopes using constant proton-neutron effective charges prove the limitations of the present large-scale calculations to reproduce the experiment in detail.Keywords :Gamma transitions and the level energy , shell model