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Manuscript Title: Reduced SU(3) CFP'S.
Authors: D. Braunschweig
Program title: REDUCED SU(3) CFPS
Catalogue identifier: ABKG_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 14(1978)109
Programming language: Fortran.
Computer: AMDAHL 470V/6, IBM 360.
Operating system: MTS.
RAM: 197K words
Word size: 32
Keywords: Nuclear physics, Fractional parentage, CFP, SU(3), SU(4), Amplitude spectroscopic, Alpha-transfer, Pseudo-SU(3).
Classification: 17.18.

Subprograms used:
Cat Id Title Reference
AAC0_v1_0 DATA FOR ABKG CPC 14(1978)109

Nature of problem:
Reduced SU(3) x-particle coefficients of fractional parentage (CFP) are calculated, for any nuclear shell and arbitrary shell model states in an SU(3)xSU(4) or an SU(3)xSU(2) scheme. These CFP together with the SU(3) coupling coefficients make it possible to perform standard shell model calculations in the SU(3) scheme.

Solution method:
Raising and lowering operators of SU(3) and SU(4) are used to construct explicity shell model states of good SU(3) X SU(4) symmetry. These states are written in terms of Fermion creation operators. Overlaps can then be calculated directly and lengthy recursion is thus avoided.

Restrictions:
Since the size of arrays depends strongly on the nuclear shell and the number of particles, provision is made for easy adjustment of dimensions. However, the number of components of a highest weight state in the many-particle basis should not exceed 200 or else truncation error may accumulate.

Unusual features:
All the large integer arrays which store numbers that are always less than 256 start with the letter "L". Therefore in IBM 360/370 or similar operating systems advantage may be taken of the statement IMPLICIT INTEGER*2(L) to save up to 35% of high speed storage.

Running time:
It is a critical function of the nuclear shell, the number of particles, as well as the options selected.