Inversion of Gap Equations with Particle Conservation.

In the inverse gap equations (IGE) procedure one has a method for calculating the ground state wavefunctions of heavy single-closed-shell nuclei which avoids the problems of uniqueness of solution associated with the variational model of Bardeen, Cooper and Schrieffer (BCS) while being computationally easier. However each procedure is used for odd-A SCS-nuclei even though the trial wavefunction contains an even number of particles. Furthermore neither procedure conserves particle-number in better than an average way. To study the effect of particle-number conservation we construct. a model which incorporates the ease of computation of the IGE. procedure but uses a generator-coordinate to permit strict particle-. number conservation. We note the importance of integrals over the. generator-coordinate and show how one can recover the BCS. model and the inverse gap equation. We then compare results of. the IGE procedure and our model for ('112)Sn-('124)Sn. *All degree requirements completed in 1982, but degree will be granted in 1983.