Statistical study of nuclear energy levels for 6 particles in the nuclear N82 model space

Abstract EN

The statistical fluctuations of nuclear excitation energies in Ba 138 nucleus are investigated.

This nucleus is described as a core of Sn 132 with 6 active protons move in the space of N82.

The OXBASH shell-model program together with the interaction of N82K are used to obtain the excitation energies in .

138Ba To reflect the transition from regular (ordered) to chaos in Ba 138 , we consider different strengths parameter ( ) to the off diagonal elements of N82K.

The level density for the states 2 3  J T   is found to have a Gaussian shape, which is in agreement with the predicted studies for a many-body system with two-body residual interaction.

Both distributions for the level spacing P(s) and   3 statistics show an ordered performance at strength parameter   0, a chaotic performance at   0.3 and an in-between situation at 0    0.3.