Mirror Nuclei of 17O and 17F in Relativistic and Nonrelativistic Shell Model

We have investigated energy levels mirror nuclei of the O-17 and F-17 in relativistic and nonrelativistic shell model. The nuclei O-17 and F-17 can be modeled as a doubly magic O-17 = n + (N= Z = 8) and F-17 = p + (N= Z = 8), with one additional nucleon (valence) in the ld(5/2) level. Then we have selected the quadratic Hellmann potential for interaction between core and single nucleon. Using Parametric Nikiforov-Uvarov method, we have calculated the energy levels and wave function in Dirac and Schrodinger equations for relativistic and nonrelativistic, respectively. Finally, we have computed the binding and excited energy levels for mirror nuclei of O-17 and F-17 and compare with other works. Our results were in agreement with experimental values and hence this model could be applied for similar nuclei.