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Manuscript Title: II. Reduced SU(3) matrix elements.
Authors: D. Braunschweig
Program title: REDUCED SU(3) MATRIX ELEMENTS
Catalogue identifier: ABKH_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 15(1978)259
Programming language: Fortran.
Computer: AMDAHL 470V/6.
Operating system: MTS.
RAM: 212K words
Word size: 32
Keywords: Nuclear physics, Fractional parentage, Su(3), Su(4), Matrix elements, Pseudo-su(3), One body operators, Two-body operators.
Classification: 17.18.

Subprograms used:
Cat Id Title Reference
ABKG_v1_0 REDUCED SU(3) CFPS CPC 14(1978)109
AAC0_v1_0 DATA FOR ABKG CPC 14(1978)109

Nature of problem:
Reduced SU(3) matrix elements (RME) are calculated for a general one or two body tensor operator, between arbitrary shell model states in an SU(3) * SU(4) or SU(3) * SU(2) scheme. Matrix elements in the angular momentum scheme can then be obtained by multiplying these RME with the appropriate SU(3)=R(3) coupling coefficients available through the code of program SU3 WIGNER and RACAH coefficients, catalogue number, ACRM.

Solution method:
One and two body tensor operators are explicitly constructed in terms of fermion creation operators. Since the <BRA| and |KET> states obtained by using the appropriate routines of the code of Comp. Phys. Commun. 14(1978)109. are also written in terms of fermion creation operators, the overlap can be calculated directly. This method is typically 2-3 orders or magnitude faster than the usual CFP expansion.

Restrictions:
The <BRA| and |KET> states are restricted to those that can be calculated with the code of Comp. Phys. Commun. 14(1978)109. No other restrictions exist.

Unusual features:
The same array naming convention adopted in the code of 14(1978)1099 is kept. This allows a saving of up to 35% of high speed storage in IBM 360/370 or similar operating systems.