Harmonic oscillator SU[sub 3] states with arbitrary permutational symmetry

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1994.1002· OSTI ID:7050343

Novoselsky, A ^[1]; Katriel, J ^[2]

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1. Hebrew Univ. of Jerusalem (Israel)
2. Technion-Israel Institute of Technology, Haifa (Israel)

Many-particle harmonic oscillator states that belong to a given SU[sub 3] irreducible representation and are at the same time characterized by a Yamanouchi symbol specifying their permutational symmetry, are constructed recursively, using the SU[sub 3] coefficients of fractional parentage. These coefficients are the eigenvectors of the two-cycle class operators of the symmetric group in the appropriate basis. In the recursion procedure only the matrix element of the transposition of the last two particles has to be calculated in each step. This matrix element is obtained by using the SU[sub 3] Racah coefficients. The significance of this procedure for nuclear physics as well for quark calculations is briefly pointed out. 20 refs.

• OSTI ID: 7050343
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 229:1; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HARMONIC OSCILLATOR MODELS
LIE GROUPS
MATHEMATICAL MODELS
RACAH COEFFICIENTS
RECURSION RELATIONS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS