Electromagnetic Properties of Nuclei Calculated from Projected Hartree-Fock Wave Functions

Abstract

Using the projected Hartree-Fock (HF) wave functions, a theoretical formulation is given for calculating the electromagnetic properties of nuclei, the nuclear form factors in electron scattering, $\mathrm{ft}$ values in $\ensuremath{\beta}$ decay, and the reduced widths of nuclear levels in direct reactions. The formulation is applied to calculate the quadrupole and magnetic moments, the electromagnetic transition probabilities, and the lifetimes of nuclear levels of a large number of nuclei ranging from $^{19}\mathrm{F}$ to $^{37}\mathrm{Cl}$ in the $2s\ensuremath{-}1d$ shell. The good agreement between the calculated and the experimental values indicates a remarkable success of the projected HF wave functions in predicting the electromagnetic properties of nuclei.