Study of energy spectrum of 116Sn and 116Te nuclei by using surface delta and modified surface delta interactions

Abstract

Abstract In this paper, surface delta and modified surface delta interactions have been used by applying the nuclear shell model to calculate values of excitation energies for isotopes of equal mass number containing two nucleons outside the closed core 114Sn, these nuclei are; The isotope (Tin) 116Sn contains two neutrons within the model space (3s1/2, 2d3/2, 1h11/2) and the other isotope is 116Te (Tellurium) contains two protons within the model space (1g7/2, 2d5/2, 3s1/2, 2d3/2, 1h11/2). The current results of the above isotopes are based on using the Fortran 95 program code to program the above two interactions equations to calculate the values of single particles energies, matrix elements in the state of mixing configurations of orbits for and through which it is possible to calculate the eigenvalues, which are necessary to calculate the excited energy of all isotopes used in this study. By comparing the current theoretical results with the practical results, the expected theoretical results appeared to be in good agreement with the practical values, as well as confirmed and determined of the total angular momentum and parities of some unconfirmed and undetermined practical values, in addition to obtaining a new theoretical energy levels were determined of unspecified practical energies and momentum and this increases the theoretical knowledge of the studied isotopes relative to the energy levels.