The experimental nuclear level densities and spin cut-off factors for nuclei from '9to '"Am are compared with a microscopic theory which includes the nuclear pairing interaction. Single particle levels of Nilssan and Seeger give similar results in most cases and both sets of single particle levels Rive results which agree well with experiment. For the case of the actinide nuclei and the lanthanide nuclei deformed single particle levels of Nilsson el ol are utilized. It is found that the values of p ( E * ) and o(E') are very sensitive to the structure of the single particle levels and the effects of this structure are illustrated and discussed. The calculational procedure is developed to account for an odd particle system blacking, this procedure as well as the effects of such blocking will also be discussed.NUCLEAR STRUCTURE study of nuclear level densities and spin cut-off factor, comparisotr of the thcorclical level densities with experiment far 20 S A S 244.
Least-squares fits of sd-shell effective interactions (EI) are performed in terms of relative matrix elements (RME). The energy spectra of a number of nuclei in the mass range 18 to 21 are calculated using the RME representation of the EI; they agree satisfactorily with experiment. The results suggest that translational invariance is a dominant feature of the EI considered.
The nuclear level densities of 96,97 Mo are calculated in the framework of superconducting theory. The parameters of nuclear level density are so chosen that the saddle point conditions are satisfied and the best fit to the experimental data yields. Then, using these parameters the energy, the entropy and the spin cut-off factor are calculated as a function of temperature. The curves show structures, reflecting the phase transition from a correlated to an uncorrelated phase. The critical temperature for quenching of pairing correlations is found at T c ∼ 0.7-0.9 MeV.
In the framework of BCS model, we have applied the isothermal probability distribution to take into account the statistical fluctuations in calculation of thermodynamical properties of nuclei. The energy and the heat capacity are calculated in 94 M o nucleus using the mean gap parameter. The results are compared with the values obtained based on the most probable values, experimental data as well as some other theoretical models. We have shown that heat capacity versus temperature behaves smoothly instead of singular behavior predicted by the standard BCS model. Also a smooth peak in heat capacity is observed which is a signature of transition from normal to superfluid phase.
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