Abstract
A method is presented for the expansion of properly antisymmetrized cluster model (or resonating group method) wave functions in terms of translationally invariant shell-model wave functions. By coupling the relative motion (harmonic oscillator) wave functions and the internal cluster functions to resultant , strong coupled functions, the cluster model wave functions can be expanded in terms of standard shell-model wave functions by , recoupling techniques, using readily available recoupling coefficients. As a specific example, the full shell-model expansions are given for () cluster functions for all possible symmetries and relative motion wave functions carrying from 4 to 8 oscillator quanta, hence core excitations up to .
NUCLEAR STRUCTURE Shell-model expansions of cluster functions; representations of .
- Received 26 July 1977
DOI:https://doi.org/10.1103/PhysRevC.16.2401
©1977 American Physical Society