Calculation of Charge Density Distribution of (2s-1d) Shell-Model Nuclei Using the Occupation Numbers of States

Abstract

The charge density distribution (CDD) of 24Mg, 28Si, 30Si, 32S and 34S nuclei have been calculated using the wave functions of the harmonic oscillator on the assumption that the occupation numbers of the states in real nuclei differ from the predictions of the simple shell model. The difference of the CDD of (28Si-30Si) and (32S-34S) isotopes have been calculated to clarify the influence of the additional neutrons on the CDD. The elastic electron scattering form factors of the considered nuclei have been calculated using the ground state charge density distributions.Introducing an additional parameter () that reflects the difference of the occupation numbers of states between the real states of the nuclei and the simple shell model predictions, leads to a very good agreement between the calculated and experimental results of the CDD and form factors. This leads to the conclusion that proposing () as an additional parameter is a real one.