Programs in Physics & Physical Chemistry
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|Manuscript Title: A user's guide to Fortran programs for Wigner and Racah coefficients of SU3.|
|Authors: Y. Akiyama, J.P. Draayer|
|Program title: SU3 WIGNER & RACAH COEFFICENTS|
|Catalogue identifier: ACRM_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 5(1973)405|
|Programming language: Fortran.|
|Computer: IBM 360/67.|
|Operating system: MTS/360.|
|RAM: 32K words|
|Word size: 15|
|Keywords: Nuclear physics, Su3, Wigner coefficient, Racah coefficient, Clebsch-Gordan coefficient, Recoupling coefficient, Isoscalar factor, U-function, Unitary coupling, K-band projection, Hypercharge, Fractional parentage, General purpose, Algebras.|
|Classification: 4.2, 17.18.|
Nature of problem:
SU3 contains SU2 X U1 and SU3 contains R3 Wigner coefficients as well as SU3 Racah coefficients are calculated for arbitrary couplings and multiplicity.
A build-up process based on the Biedenharn-Louck prescription for specifying the outer multiplicity is employed to generate SU3 contains SU2 X U1 Wigner coefficients. SU3 Racah coefficients follow through standard recoupling formulae. SU3 contains R3 Wigner coefficients are obtained from the corresponding SU3 contains SU2 X U1 Wigner coefficients via unitary transformation coefficients relating SU3 contains SU2 X U1 and SU3 contains R3 basis states.
Factorials M!, M<= Mmax = 32, and binomial coefficients (NM),M <= N<= Nmax = 32, are stored in common. Typically for SU3 contains SU2 X U1 Wigner coefficients Lambda 1 + Lambda 2 + Lambda 3 <= Mmax whereas for SU3 contains R3 Wigner coefficients lambda + mu + L <= Nmax. The limits Mmax and Nmax may be altered by modifying one and only one subprogram.
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