Chaotic features of energy spectrum in 68Ge nucleus using the nuclear shell model

Abstract EN

Chaotic properties of nuclear energy spectrum in 68Ge are analyzed using the framework of the nuclear shell model.

Nuclear energies of considered states are obtained via performing f5p shell model calculations using the OXBASH computer program together with the effective interaction of F5PVH.

The 68Ge nucleus is suggested to consist of a core 56Ni with twelve particles (8 neutrons + 4 protons) in f5p-model space (2?32⁄ ,1?52⁄ and 2?12⁄).

The density of energy level of studied classes have been found to have a form of Gaussian, which is in accord with the prediction of other theoretical studies.

The distributions of the spacing P(s) and Δ3 statistic for the studied states are well described by the Gaussian orthogonal ensemble (GOE).

Furthermore, these fluctuations are independent on the spin J.