Calculation magnetic dipole moments, electric quadrupole moments and form factors for some Ti isotopes

Abstract

This paper presents calculations of the magnetic moments, the quadrupole moments, and the form factors of a number of titanium isotopes as determined using the shell model space. The calculations of the shell model have adopted the model space (MS) with core-polarization effects, which were included for two types of effective g factors and different effective charges. The wave functions are generated using the harmonic oscillator potential (HO) with size parameters b, which for these isotopes are calculated. The one body density matrices (OBDM) for these isotopes were obtained using the NuShellX@MSU code, which used an adopted fpd6 interaction and fp model space. Reasonable results are obtained that show the collapse of the magicity property at neutron number N = 28.

Calculation of the Magnetic Dipole and Electric Quadrupole Moments of some Sodium Isotopes using Shell Model with Skyrme Interaction

“…The magnetic dipole (μ) and electric quadrupole (Q2) moments are considered one of the most important ways to learn about the nuclear structure and obtain dense and deep information like deformations, charge, and nuclear moments in this field [1]. The magnetic dipole moments of nuclei are sensitive to the orbits occupied by the valence nucleons.…”