Large Scale Shell Model Calculations of the Negative-Parity States Structure in 24Mg Nucleus

Abstract

The negative-parity states of 24Mg nucleus are investigated within the shell model. We are based on the calculations of energy levels, total squared form factors, and transition probability using the p-sd-pf (PSDPF) Hamiltonian in a large model space (0 + 1) hW. The comparison between the experimental and theoretical states showed a good agreement within a truncated model space. The PSDPF-based calculations successfully reproduced the data on the total squared form factors and transition probabilities of the negative-parity states in 24Mg nucleus. These quantities depend on the one-body density matrix elements that are obtained from the PSDPF Hamiltonian. The wave functions of radial one-particle matrix elements calculated with the harmonic-oscillator potential are suitable to predict experimental data by changing the center-of-mass corrections.

STUDY MAGNETIC ELECTRON SCATTERING FORM FACTOR OF 24Mg ISOTOPE

“…Negative-parity states, referred to as exotic states, arise as a result of one nucleon being promoted from the p to sd shell for nuclei near 16 O or from the sd to fp shell for nuclei near 40 C. The 24 Mg nucleus is located in the center of the sd shell, where the two types of transitions compete. Despite a wealth of experimental evidence, few theoretical analyses have been undertaken on these nuclear states designated for certain angular momentum J values [14].…”