Constrained—Hartree-Bogolyubov Treatment of the Pairing-Plus-Quadrupole Model: Discontinuities in Nuclear Moments at High Spins

Abstract

I discuss a self-consistent, microscopic theory of nuclear rotations at high spins and review results obtained previously for the spin dependence of the moment of inertia, deformation, and energy gaps of ${}_{}{}^{160}{}_{}{}^{}\mathrm{Dy}$. Additional results given here suggest some striking discontinuities in isomer shifts, gyromagnetic ratios, and $B\left(E2\mathrm{}\right)\mathrm{}$ values at high spins. Theoretical results are consistent with the recent measurements of gyromagnetic ratios and $B\left(E2\mathrm{}\right)\mathrm{}$ values, but a greater precision is needed to test the predicted discontinuities.