Longitudinal and transverse electron-nucleus scattering form factors ofMg25

Abstract

The one-body density-matrix elements obtained from the USDA Hamiltonian are used to calculate the electronnucleus scattering form factors for the 25 Mg nucleus. The longitudinal form factor calculations produce good agreements for all states in the first sequence whereas the shell-model predictions show a variation in results for the excitation states in the second sequence. The wave functions of radial single-particle matrix elements have been calculated with the Woods-Saxon, harmonic-oscillator, and Skyrme (Sk42) potentials. The results of the inelastic transverse form factors are in good agreement with the experimental data when using the Sk42 potential whereas the elastic magnetic scattering results show a significant difference in values compared with the experimental data. However the overall shape and other features of the form factors are satisfactory when using the harmonic-oscillator potential. The effective g factors were used as adjustable parameters in the OXBASH code to describe the core-polarization effects in the transverse form factor calculations with the use of a harmonic-oscillator size parameter in the elastic magnetic scattering.

Positive Parity Levels of 21,23Na Isotopes by Using the Nuclear Shell

“…For this model space, there are three SPEs and 63 TBMEs which in the mass region of = 16-40 can determine the energies and wave functions for about 106 levels. The calculations were performed by using the OXBASH code for Windows [13,14]. The code uses the M-scheme Slater determinant basis, a projection technique, and wave functions with good angular momentum ( ) and isospin ( ).…”

Calculation of Energy Levels and Reduced Electric Quadrupole Transition Probability for ²²F Isotope Using Oxbash Code

“…Table 2 and Fig. 1 illustrate a comparison between the theoretical values of energy levels in relation to the ground state of 22 F isotope (using CWH potential) and the available experimental values [18][19][20][21][22][23][24]. After examining the energy levels of 22 F by applying the nuclear shell model of the reaction CWH, it was found that: (1).…”

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

“…where ( , , , , ) are reduced matrix elements calculated taking the finite-size of nucleons into account, indicates the magnetic ( ) and convection current ( ) contributions for the electric ( = ) and magnetic ( = ) form factors, and = in the case of the Coulomb form factor, and are the atomic mass and atomic number of the target nucleus, respectively, is the center-of-mass correction, and is the oscillator length parameter chosen to reproduce the root mean square radius of the nucleus (rms). The details of calculations of and from ( , , , , ) are presented in [31][32][33]. The reduced matrix elements ( , , , , ) had been calculated as follows [32]:…”

“…The details of calculations of and from ( , , , , ) are presented in [31][32][33]. The reduced matrix elements ( , , , , ) had been calculated as follows [32]:…”

“…) is the experimental form factors for free nucleons [34]. The multiparticle form factors ( , , , , ) are given as [32]:…”