Investigation of the Nuclear Structure of Some Ni and Zn Isotopes with Skyrme-Hartree-Fock Interaction

Abstract

The inelastic C2 form factors and the charge density distribution (CDD) for 58,60,62 Ni and 64,66,68 Zn nuclei has been investigated by employing the Skyrme-Hartree-Fock method with (Sk35-Skzs*) parametrization. The inelastic C2 form factor is calculated by using the shape of Tassie and Bohr-Mottelson models with appropriate proton and neutron effective charges to account for the core-polarization effects contribution. The comparison of the predicted theoretical values was conducted with the available measured data for C2 and CDD form factors and showed very good agreement.

Analyzing the Nuclear Structure of 13O-13B and 13N-13C Mirror Nuclei

“…It is noticeable that the calculated results are close to the experimental value 16 of the ground state and its deviation is larger than the measured value at higher energy levels, especially at the 13 N-13 C mirror nuclei. The deviation results from a high energy gap for the 13 N- 13 C mirror nuclei and for coulomb effect.…”

“…In this paper, the qualities of 13 O-13 B and 13 N- 13 C mirror nuclei are investigated using large-scale shell model simulations using the single-particle wave functions of the PSDMOD interactions in the psdpn -shell model space 16 , it adopted the harmonic oscillator with size parameter value obtained from a global formula 17 b = 1.685fm, and with Skyrme interactions are utilized to produce a one-body potential using SkXs25 parameterizations 18 in the Hartree-Fock approximation it is an appropriate representation of Skyrme power. Currently, self-consistent mean field models are the most appropriate framework 19 .…”

“…The main characteristics of mirror nuclei can be represented when computing the occupancies of the nucleus. The occupancy of pair mirror 13 The calculations of energy levels of each isobar are shown in Fig. 2.…”

“…Figure 2. The energy level of 13 O -13 B and 13 N- 13 C mirror nuclei, compared results with experimental data 16 Nuclear radii like the proton (Rp), neutron (Rn), matter (Rm) and charge (Rch) radii, are one of several static properties of atomic nuclei, they observable and can clearly reflect the significant features of the nuclear structure. The Rch can be measured from the isotope shift using a laser spectroscopy experiment 20 .…”

“…In this work, the single particle wave functions of the harmonic oscillator (HO) and Hartree-Fock approximation (HF) of the shell model were adopted to calculate the rms of proton, neutron, matter and charge radii, energy levels, occupancies numbers, magnetic (𝜇) and quadrupole (Q)moments of 13 O-13 B and 13 N- 13 C mirror nuclei. The NuShellX@MSU shell model code was used to get the psdpn-shell model space 10 , which computes the components of the proton as well as neutron formalism's one-body density matrix (OBDM).…”