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Manuscript Title: Computation of Brody-Moshinsky brackets.
Authors: A. Lejeune, J.P. Jeukenne
Program title: BRODY-MOSHINSKY BRACKETS
Catalogue identifier: ABGC_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 2(1971)231
Programming language: Fortran.
Computer: IBM 360/65.
Operating system: 0S 360.
RAM: 8K words
Word size: 64
Keywords: Nuclear spectra, Nuclear structure, Two-body operator matrix elements, Hartree-Fock calculations, Brody-moshinsky Brackets.
Classification: 17.17.

Subprograms used:
Cat Id Title Reference
ABMA_v1_0 RACAH CPC 1(1970)337

Nature of problem:
The program computes the Brody-Moshinsky brackets defined in M. Moshinsky, Nucl. Phys. 13 (1959) 104 and appearing in the calculation of matrix elements of two-body operators, when the single particle radial wave functions are those of a harmonic oscillator. Such matrix elements are encountered in shell-model and Hartree-Fock calculations.

Solution method:
A recursion relation connecting Brody-Moshinsky brackets (B.M.B.) with incresing n1, n2 indices is used. The structure of the program is such that a minimum size core is needed to calculate the B.M.B.

Restrictions:
In the present form of the program, restrictions come only from the allowed dimensions which are sufficient for values of the indices n1, n2 <=5. For higher values of the indices, these dimensions may easily be incresed, so that the size restrictions depend only on the computer storage available.

Running time:
The running time is 0.40 s for indices n1, n2 equal to 0,1 on the IBM 360/65 computer at the University of Liege.