Role of neutron and proton system in spin cut off parameter and entropy of 89,90Y

The nuclear level densities, entropies and spin cut off parameters have been determined in 89,90Y nuclei using the BCS model with inclusion of pairing interaction. The results have a good agreement with the recent experimental data on the level densities measured by the Oslo group. In addition, the entropy excess of 90Y compared to 89Y as a function of temperature has been extracted. Also, the role of neutron and proton systems in the entropy excess as well as the spin cut off excess have been investigated using the entropy excess ratio and spin cut off excess ratio introduced in our previous publication. The role of the neutron system at low temperatures, the temperatures below critical temperature, in the semi-magic nucleus 89Y is similar compared to the closed shell proton system in the tin isotopes.