Calculation Energy levels and charge radius for odd $^{41-49}$Ca Isotopes by using the analytical approach

TL;DR

This paper calculates energy levels and charge radii of odd calcium isotopes using an analytical non-relativistic shell model with novel local potentials, showing good agreement with experimental data.

Contribution

It introduces a new local potential model and applies the Parametric Nikiforov Uvarov method to calculate static properties of odd calcium isotopes.

Findings

Results agree well with experimental data.

The model effectively describes odd calcium isotopes.

Potential models used are suitable for similar nuclei.

Abstract

In the present 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 $^{41-49}$Ca nuclei as doubly-magic isotopes, with further nucleons (valence) in the lf7/2 and 2p3/2 levels. Then the modified Eckart potential as well as 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.