Quadrupole Interaction and High-Spin States in the Lead Region

Abstract

The energies of high-spin states formed by adding a few valence nucleons to $^{208}\mathrm{Pb}$ can be accurately calculated by using empirical interaction matrix elements. It is shown that the energies of high-spin states with $^{207}\mathrm{Pb}$, $^{206}\mathrm{Pb}$, and $^{204}\mathrm{Pb}$ as the core can also be accurately calculated if an additional quadrupole interaction with a strength proportional to the increased polarizability of the core is included. This interaction may contribute to the formation of yrast traps from states with a few valence nucleons with aligned angular momenta.