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 0f 5/2) 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 θ a,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.