Microscopic effective charges and quadrupole moments of sd-shell and sd-pf cross-shell nuclei with Z≥13

Abstract

Effective charges of electric quadrupole moments are calculated for sd and cross sd-pf shell isotopes with Z ≥ 13. Perturbation theory of one-particle one hole with 2􀔰ω excitation is employed. Shellmodel in the sd valence space is used for neutron number N ≤ 20. For neutron rich nuclei with N > 20, sdpf valence space is used with full sd shell (Z-8) protons and full pf shell (N-20) neutrons. Good agreement is obtained with the measured data for most of the isotopes considered in this work while it deteriorates for some of them and need further investigation.