Appraisal of the Kuo-Herling shell-model interaction and application to<i>A</i>=210–212 nuclei

Abstract

Shell-model calculations are described for A=204--212 nuclei. These calculations use the Kuo-Herling realistic effective interactions for hole states and particle states relative to $^{208}\mathrm{Pb}$. These interactions contain a bare part and a core-polarization contribution. The contribution of the core polarization was varied to find the best fit to the energy spectra of A=204--206 and 210--212 nuclei. This and other modifications to the Kuo-Herling interaction---designed to give better agreement with experimental energy spectra---are discussed. Aspects of the spectroscopy of $^{211\mathrm{\ensuremath{-}}212}\mathrm{Pb}$, $^{210}\mathrm{Po}$, $^{212}\mathrm{Ra}$, $^{210}\mathrm{Bi}$, and $^{212}\mathrm{At}$ are presented in order to illustrate the use of the Kuo-Herling particle interaction. Deficiencies in the Kuo-Herling interaction are described and the desirability and possibility of an improved calculation of the interaction is emphasized.