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RESEARCH PRODUCT
About two equivalent descriptions of quark antisymmetrization
V. VentoP. Gonzálezsubject
QuarkPhysicsTheoretical physicssymbols.namesakeClassical mechanicsPauli exclusion principleBasis (linear algebra)symbolsSymmetrizationFunction (mathematics)Quantum field theoryRepresentation (mathematics)Wave functiondescription
We analyze the wave function for a two-hadron system when the quark symmetrization principle is incorporated. Two alternative mathematical descriptions are considered. The representation method of Hund constructs a system of generators of thesinglet⊗singlet type. The method of Young-Froebenius incorporates hidden-color components in order to describe the representation basis. By taking a naive model we show that the two descriptions, are equivalent and thus no physical meaning should be attached to their mathematical differences. The results of our analysis are then applied to the more realisticN-N (deuteron) system. We end by discussing the structure of the Pauli correlations which we compare with the dynamical correlations, paying particular attention to the so-called hidden-color components.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-06-01 | Il Nuovo Cimento A |