# An algebraic program for the states associated with the U(5) ⊃ O(5) ⊃ O(3) chain of groups

## Description

Abstract A REDUCE program is presented that calculates algebraically the γ-dependent part of the states associated with the U(5) ⊃ O(5) ⊃ O(3) chain of groups, familiar from nuclear-structure problems. The method of solution is a direct implementation of the analytic expressions given by Chacón and Moshinsky. Title of program: PHISYM Catalogue Id: ABFN_v1_0 Nature of problem Group theoretical ideas and, in particular, states associated with the U(5) include O(5) include O(3) chain of groups are widely used to describe properties of nuclei, both within the framework of the Interacting Boson Approximation and of the geometric collective models of the Frankfurt group. Among the many processes and properties this chain has been applied to, prominent are the low-energy nuclear spectra, Coulomb excitation and medium-energy proton scattering, and the photoabsorption of the ... Versions of this program held in the CPC repository in Mendeley Data ABFN_v1_0; PHISYM; 10.1016/0010-4655(88)90175-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)