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

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.