# SU(3) reduced matrix element package

## Description

Abstract A new SU(3) reduced matrix element package, which exploits logical operations and bit manipulation procedures in implementing a fermion second-quantized formulation for calculating matrix elements of SU(3)-coupled products of creation and annihilation operators (a^† , a^† a^† , a, aa, a^† a, a^† a^† a, a^( †)aa, a^† a^† aa), is introduced. The reduced matrix elements are extracted from full matrix elements of the coupled operators. Since the reduced matrix elements do not depend on the subg... Title of program: SU3RME Catalogue Id: ACVI_v1_0 Nature of problem It is well-known from mean-field studies that a three-dimensional harmonic oscillator is a reasonable zeroth-order approximation for the common potential experienced by nucleons in nuclei. The choice of SU(3) as a basic symmetry is therefore natural since it is the exact symmetry group of the spherical oscillator, and furthermore, it is the dynamical symmetry group of the deformed oscillator when, as is usually the case, the deformation is generated by quadrupole interactions [1-3]. Nonetheless, ... Versions of this program held in the CPC repository in Mendeley Data ACVI_v1_0; SU3RME; 10.1016/0010-4655(94)90035-3 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)