Shell-Model Spectroscopy off−p-Shell Nuclei withA≤44

Abstract

The properties of all $f-p$-shell nuclei with $42\le A\le 44$ have been calculated from one consistent shell model. The model space includes all Pauli-allowed states for all configurations of two, three, or four particles distributed among the four $f-p$ shell orbits. The model Hamiltonian is a one-body plus two-body operator very similar to the "realistic" effective Hamiltonian of Kuo and Brown. Calculated results are given for excitation energies, single-particle transfer spectroscopic factors, electric-quadrupole and magnetic dipole moments, and $B\left(M1\right)$'s and $B\left(E2\right)$'s for transitions between low-lying states. The calculated results are in fair agreement with experimental information on these various observables. The results suggest that core-excitation effects are more important in the lower half of the $f_{\frac{7}{2}}$ shell than in the $s-d$ shell.