Application of shell model calculations with modified surface delta interaction for the two nuclei and ¹³⁴₅₂Te and ¹³⁴₅₀Sn

By applying Shell model with Modified Surface Delta Interaction on Tellurium nucleus ¹³⁴₅₂Te and Tin nucleus ¹³⁴₅₀Sn, that have two valence nucleons outside the closed core¹³²₅₀Sn₈₂, we obtained the values of the energy levels and excitation energies of the two nuclei, after determining the value of the two constants A_T and B_T for Modified Surface Delta Interaction by least square fitting method. When we comparing the value of standard deviation of our calculated excitation energies with some previous studies calculated in different ways, we found that nucleus ¹³⁴₅₂Te shows good agreement with experimental values compared to these studies, while nucleus ¹³⁴₅₀Sn does not show a good agreement. Therefore the application of the Shell model with Modified Surface Delta Interaction, in its present form, on nuclei whose valence nucleons are located after the magic number N = 82, needs to be modified, such as taking into account the excitation closed core and configuration mixing.