Calculation energy levels and charge radius for odd Ca41-49 isotopes by using the analytical approach

摘要

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 Ca41-49 nuclei as doubly-magic isotopes with further nucleons (valence) in the 1f(7/2) and 2p(3/2) 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.