An efficient procedure for large-scale calculations of the coefficients of fractional parentage (CFPs) for a single-shell with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric many-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix. We investigate the characteristics of the introduced CFPs basis and the application of this procedure to the harmonic-oscillator shell-model approach. The results of one-particle and two-particle CFPs calculations for large values of quantum angular momenta are presented. The developed computer code for calculation of the CFPs proves to be very quick, efficient, and numerically stable and produces results possessing only small numerical uncertainties.
Type of document
type::text::conference object::conference proceedings::conference paper