Average partial level density based on the random matrix model. Inclusion of realistic one-body spectrum and effect of particle escape

Abstract

The effect of the realistic one-body spectrum is included in calculating the average partial level density, which has been so far obtained assuming degenerate one-body spectrum and GDE for the residual interaction. We show that such partial level densities are obtained by solving the extended saddle point equations which need inputs of the realistic one-body spectrum as well as the second moment of the ensemble. It is seen that the average partial level density is expressed in a convolution form of the partial level density for realistic one-body spectrum with the distribution which describes the effect by the random residual interaction. Calculations numerically performed show the improvement over the previous results. The effect of particle escape on the level density is also investigated and turns out to be practically negligible in precompound reactions.