Calculation energy levels and charge radius for odd 41–49Ca isotopes by using the analytical approach

Abstract

In this study, some static properties of odd isotopes of Ca were investigated in the non-relativistic shell model. We also suggested a novel suitable local potential model for the non-microscopic investigation of the mentioned nuclei. We modeled the odd [Formula: see text]Ca nuclei as doubly-magic isotopes with further nucleons (valence) in the [Formula: see text] and [Formula: see text] levels. Then, the modified Eckart potential plus Hulthen potential were chosen for the interaction between core and nucleons. We also used the parametric Nikiforov–Uvarov method to calculate the values of energy, the radius of charge and wave function. The obtained results showed a good agreement with the experimental data, so this model is applicable for the similar nuclei.