Calculation reduced transition probabilities (BE2 ↓) for two holes in 64Ni within modified surface-delta interaction

Reduced electric quadruple transition probabilities (BE2 ↓) in the mixed configuration of 64Ni with two holes have been calculated within the nuclear shell model. In the present work modified surface delta interaction MSDI within the model space (1P3/2 0f5/2) has been used for two holes neutrons The closed nuclear core is represented by the Ni- 66 nucleus. We have used a theoretical study to find a relationship between the semi-classical coupling angle θa,b and the energy levels at different orbital within (hole- hole) configuration. we observed good agreement between theoretical energy levels with experimental data, new values have been specified for both the excited energy levels and the reduced electric quadruple transition probabilities (BE2 ↓), these values are considered as a proposal, that grows theoretical understanding, of the energy levels and the expected transition probabilities through, this work.