The Spacing of Energy Levels in Light Nuclei

Abstract

The single particle model supplemented by a semiempirical determination of the dependence of potential energy on symmetry character is used to obtain statistical information about the distribution of energy levels in light nuclei ($A\le 16$). Table II shows the analysis of the lowlying configurations for $A=16\mathrm{}$ into states with definite values of the orbital angular momentum and the symmetry character. Similar tables which we have prepared for values of $A<\mathrm{}16\mathrm{}$ have been omitted because of their length. Tables III to VI give the spin multiplet structure as a function of the symmetry type and the isotopic number $\mathrm{}|N-Z|\mathrm{}$. Finally, Tables VII and VIII show the dependence of the level spacing on total angular momentum and on $\mathrm{}|N-Z|\mathrm{}$ in the several isobaric series with $A=10, 11, 12, \mathrm{and} 13$.