Programs in Physics & Physical Chemistry
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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).|
|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.
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.
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.
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.
It is a critical function of the nuclear shell, the number of particles, as well as the options selected.
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