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Manuscript Title: An algebraic program for the states associated with the U(5) include O(5) include O(3) chain of groups.
Authors: C. Yannouleas, J.M. Pacheco
Program title: PHISYM
Catalogue identifier: ABFN_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 52(1988)85
Programming language: Reduce.
Computer: VAX 8650.
Operating system: VMS VERSION 4.7.
RAM: 500K words
Word size: 32
Keywords: Nuclear physics, Theoretical methods, Computer algebra, U(5) include O(5) include O(3) chain of groups, Interacting boson Approximation, Geometrical collective Model, Five-dimensional Harmonic oscillator, Quadrupole vibrations Of the nucleus, Wave functions for Gamma-degree of freedom, Computer-assisted Algebra, Reduce.
Classification: 5, 17.16.

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 Giant Dipole Resonance in deformed nuclei.

Solution method:
Direct implementation of algebraic expressions.

The available computer memory in combination with the automatic space allocations of REDUCE is the severest restriction in the present full arithmetic versions. This situation may be alleviated by splitting the calculation into several smaller steps.

Running time:
This depends strongly on the complexity of the problem and cannot be estimated in advance.