Shell-model studies for theSn132region. II. Exact and statistical results for multi-proton cases

Level structures and level densities of nuclei consisting of a ${}_{}{}^{132}{}_{}{}^{}\mathrm{Sn}$ core plus as many as nine valence protons are calculated using a realistic effective interaction ($G$ matrix) plus previously determined correction terms. The correction terms were determined so that the total interaction, when used in shell-model calculations, gave a fit to the observed ${}_{}{}^{134}{}_{}{}^{}\mathrm{Te}$ spectrum. Recently developed trace reduction methods are employed to determine the energy moments of the level densities for each spin value. Comparisons between these moments and results of exact shell-model diagonalizations show excellent agreement. Level density comparisons demonstrate that the effect of the necessary correction terms on the spectra is small and decreases as the number of allowed orbits increases. This level density method is also used to investigate the effects of the Coulomb force on the multi-proton spectra.