Comparisons of the Kuo and Vary-Yang $\mathrm{sd}$ shell realistic effective shell-model interactions are presented through studies of the resulting global and discrete nuclear properties. The methods of spectral distributions are used to obtain energy moments for ${}_{}{}^{21}{}_{}{}^{}\mathrm{Ne}$ and spin cutoff factors for ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ for each interaction. Shell-model spectra are presented for some mass $A=18\mathrm{}$ to $A=21\mathrm{}$ $\mathrm{sd}$ shell nuclei. In each case we show for comparison the results using the Chung-Wildenthal empirical interaction. In addition to demonstrating the role of various approximations through resulting global and discrete properties, we show that certain conclusions drawn from global properties are consistent with those based upon discrete properties.

NUCLEAR STRUCTURE Realistic effective interactions for $\mathrm{sd}$ shell, spectral distribution theory, level densities, and spin cutoff factors.

• Received 30 January 1979

DOI:https://doi.org/10.1103/PhysRevC.20.1908