Intrinsic Quadrupole-Moment Transition Rates and Spectroscopic Factors for the Self-Consistent HFB Shapes of the Ti, Cr, and Fe Isotopes

Abstract

Intrinsic quadrupole moments for the self-consistent deformed Hartree-Fock-Bogoliubov (HFB) shapes for the even Ti, Cr, and Fe isotopes are calculated and compared with results obtained from the self-consistent Hartree-Fock (HF) approximation. It is pointed out that in the HFB approximation for even $Z<N=28$ nuclei one gets spherical shapes, and hence to calculate the $B({E}_{2})$ rates it is not proper to use the deformed HF wave functions. We calculate the $B({E}_{2})$ rates with the excited-state wave functions constructed over the spherical BCS solutions in the random-phase approximation.