Nilsson wave function

The model developed by [KRU84] uses Nilsson wave functions as the starting point for constructing the wave function tl. of the ground state of the... 

The wave functions for the two inner-core spherons can, of course, be described as the symmetric and antisymmetric combinations of l.t and Ip-functions. The Nilsson (19) treatment of neutron and proton orbitals in deformed nuclei is completely compatible with the foregoing discussion, which provides a structural interpretation of it. 

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. 

Since most nuclei in the region of deformation at A 100 can only be produced with rather low yields which makes detailed spectroscopic studies difficult, we have examined possibilities of extracting nuclear structure information from easily measurable gross 13-decav properties. As examples, comparisons of recent experimental results on Rb-Y and 101Rb-Y to RPA shell model calculations using Nilsson-model wave functions are presented and discussed. 

As to the ground-state configuratiais of the odd-A europium isott s, the predominant part of the wave function in Eu is due to the shell model proton state d5,2> whereas in the strongly deformed - Eu, there is a change to the Nilsson orbital [413 5/2]. The increasing spectroscopic quadmpole monents on each side of N = 82 indicate a positive projection factor in Eq. 5, and thus, for positive deformations. 

With the wave functions of the Nilsson model, it is also possible to calculate the electromagnetic moments and the gamma and beta transition probabilities between single-particle... 

Mang has derived formulae for the treatment of the ot decay of deformed nuclei, too, taking into account Nilsson-type wave functions for the nucleons. The calculations of Mang and Rasmussen (1962) for U, Pu, Cm, Cf, Fm isotopes gave reasonable agreement with the experimental results. The calculations again showed that the residual interaction between the valence nucleons plays an important role in the description of a-decay probability. 

---