# Quantum rotor and its SU(3) realization

## Description

Abstract A simple FORTRAN program called ROTXSU3, which determines eigenvalues of the quantum rotor and the corresponding algebraic SU(3) model Hamiltonian, is introduced. General analytic expressions for matrix elements of the two Hamiltonians are given. These results are used to establish the equivalence of the SU(3) and rotor theories in the min(λ,μ) ≫ L limit, where λ and μ are SU(3) representation labels and L is the angular momentum. The results can also be used to study group expansion and defo... Title of program: ROTXSU3 Catalogue Id: ABFO_v1_0 Nature of problem Low-lying energy levels of well-deformed, even-even nuclei can be described by the rotational limit of the collective model and by the SU(3) shell model. The parameters of the rotor hamiltonian are the three principal moments of inertia. The corresponding SU(3) theory is obtained by taking the shell-model hamiltonian to be a linear combination of the operators L2, Xa3 and Xa4 which belong to the SU(3) -> SO(3) integrity basis. The coefficients of these three rotational scalars are the parameters ... Versions of this program held in the CPC repository in Mendeley Data ABFO_v1_0; ROTXSU3; 10.1016/0010-4655(88)90174-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)