Multi-cluster wavefunctions with arbitrary permutational symmetry

Journal Article · Tue Oct 01 04:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90190-J· OSTI ID:5368078

Katriel, J ^[1]; Novoselsky, A ^[2]

---

1. Israel Inst. of Tech., Haifa (Israel)
2. Weizmann Inst. of Science, Rehovot (Israel)

The authors consider a system of identical particles distributed in several clusters. Each cluster is characterized by Yamanouchi symbol specifying its permutational symmetry. A procedure for coupling the various clusters into an overall well-defined angular momentum and permutational symmetry, is presented. It is based on diagonalizing an appropriate set of single-cycle class operators of the symmetric group. The techniques for the evaluation of the necessary matrix-elements are developed. They provide interesting generalizations of the corresponding techniques for a system consisting of a single-cluster of particles. The results are immediately applicable to the study of nuclear cluster models, nuclei as quark clusters, as well as the interaction among gas-phase atomic clusters.

• OSTI ID: 5368078
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 211:1; ISSN 0003-4916; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CLUSTER MODEL
DISTRIBUTION
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
IRREDUCIBLE REPRESENTATIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
PARTICLES
POSTULATED PARTICLES
QUARKS
SPATIAL DISTRIBUTION
SYMMETRY
SYMMETRY GROUPS
WAVE FUNCTIONS