Parametrization of SU(3) spectroscopic factors for light nuclei within an algebraic model

P. O. Hess, Universidad Nacional Autónoma de México
A. Algora, Magyar Tudomanyos Akademia
J. Cseh, Magyar Tudomanyos Akademia
J. P. Draayer, Louisiana State University


A parametrization of SU(3) shell-model spectroscopic factors for light nuclei is proposed. It is shown that spectroscopic factors, as calculated from first principles, can be reproduced nearly perfectly, including taking full account of the Pauli principle, without recurring to sophisticated microscopic procedures. The results show that microscopic spectroscopic factors follow a surprisingly simple pattern.