Woods-Saxon wave function

Random Phase Approximation Calculations of Gamow-Teller /3-Strength Functions in the A = 80-100 Region with Woods-Saxon Wave Functions... 

We discuss some features of a model for calculation of p-strength functions, in particular some recent improvements. An essential feature of the model is that it takes the microscopic structure of the nucleus into account. The initial version of the model used Nilsson model wave functions as the starting point for determining the wave functions of the mother and daughter nuclei, and added a pairing interaction treated in the BCS approximation and a residual GT interaction treated in the RPA-approximation. We have developed a version of the code that uses Woods-Saxon wave functions as input. We have also improved the treatment of the odd-A Av=0 transitions, so that the singularities that occured in the old theory are now avoided. 

Figure 3 shows p-strength functions calculated with Woods-Saxon wave functions for a sequence of Rb nuclei. Above all but the last of the calculated strength functions, which have the words BETA STRENGTH along the vertical axis, there are plots of experimental results from [KRA83] and [KRA81]. 

The experimental results have the label B (GT) along the vertical axis. The results with Woods-Saxon wave-functions are similar to the results obtained with the oscillator model, and also agree fairly well with experiment. 

Due to circumstances beyond our control, we have only been able to present very few initial results with the Woods-Saxon wave functions here. We hope, however, to explore the model more fully in the near future, in particular to run 97Rb and 99Rb with a more appropriate value of p and to explore... 

The behavior of wave functions near the nucleus, which is influenced by details of the nuclear charge distribution, is important in calculations of hyperfine constants and amplitudes of parity nonconserving transitions. The basic orbitals in such calculations are obtained from self-consistent field calculations in which Pnnc T) is assumed to be a Fermi (or Woods-Saxon) distribution... 

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