Summary
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.
Similar content being viewed by others
References
O. W. Greenberg andD. Zwanziger:Phys. Rev.,150, 11 (1966).
O. W. Greenberg:Phys. Rev. Lett. B,13, 598 (1964).
M. Han andY. Nambu:Phys. Rev. B,139, 1006 (1965).
H. Fritzsch, M. Gell-Mann andH. Leutwyler:Phys. Lett B,47, 365 (1974).
A. De Rújula, H. Georgi andS. L. Glashow:Phys. Rev. D,12, 147 (1975).
P. González andV. Vento:Few-Body Systems,2, 145 (1987).
P. González andV. Vento:Nucl. Phys. A,501, 710 (1989).
P. González andV. Vento:Phys. Rev. Lett.,60, 190 (1988).
F. Fernández, A. Valcarce, P. González andV. Vento: FTUV/90. U. Valencia preprint.
M. Harvey:Nucl. Phys. A,352, 301, 326 (1981).
M. Wakamatsu:Proceedings of the III Workshop on Perspectives in Nuclear Physics at Intermediate Energies, edited byS. Boffi et al. (World Scientific, Singapore, 1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
González, P., Vento, V. About two equivalent descriptions of quark antisymmetrization. Nuov Cim A 105, 795–804 (1992). https://doi.org/10.1007/BF02799094
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02799094