New approach for calculating nuclear binding energies of nickel isotopes 57-78Ni28 by using the Shell Model

Depending on the basic assumptions of the Shell Model and by using suitable potentials, we found a new formula to calculate the nuclear binding energies of nickel isotopes 57-78Ni28. This formula is related only to the mass number of these isotopes and the number of valence nucleons outside the closed core 56Ni28. When calculating the standard deviation of the experimental data from the theory, we found that our value is better than the value calculated by the Semi-Empirical Mass Formula; it is also better than that calculated by the Integrated Model and calculated by the Modified Integrated Model. This indicates that our inferred formula is better than the most important formulas previously used to calculate nuclear binding energies for our studied nuclei.