Study of the nuclear structure of some FP-shell nuclei with Skyrme effective interaction

Abstract

The nuclear structure properties, including elastic and inelastic form factors, were investigated for ⁴⁴Ca, ⁵⁸Ni, ⁶²Ni, and ⁶⁴Zn using shell model calculations with the NushellX@MSU code. These nuclei belong to the FP-shell region, and the Skyrme effective interaction (Sk28, Sk35, Sk43) was employed alongside the GXPF1A and JUN45 effective interactions in the model space. The model space for ⁴⁴Ca (2p3/2, 1f7/2, 1f5/2, 2p1/2), while JUN45 take the model space of (2p3/2, 1f5/2, 2p1/2, 1 g9/2). To refine the form factors calculations, the Tassie model was applied with appropriate proton and neutron effective charges, incorporating core-polarization (CP) effects. The calculated form factors were compared with experimental data and existing theoretical models. This study offers a comprehensive analysis of CP effects on form factors and demonstrates the reliability of the theoretical frameworks used.