Consequences of Relativistic Quark Models for the Interactions of Hadrons

J. Dias de Deus

doi:10.1103/PhysRevD.4.2858

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Consequences of Relativistic Quark Models for the Interactions of Hadrons

J. Dias de Deus^*

University College London, Gower Street, London WC1, England

^*Supported by a Calouste Gulbenkian Foundation Fellowship.

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Phys. Rev. D 4, 2858 – Published 1 November, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2858

Abstract

Hadron interactions are formulated in terms of relativistic quark models. The constraints of vector-meson dominance and partial conservation of axial-vector current are used to select convenient quark-quark-meson vertex functions. These vertex functions correspond to Llewellyn Smith's model I. Interactions of hadrons are assumed to take place through quark interactions, and coupling constants are evaluated using quark graphs. The results are consistent with vector-meson-dominance and the $φ - ω$ current-mixing model. Deviations from SU(3) and the nonrelativistic additivity quark model are predicted.

References (31)

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J. Dias de Deus, Phys. Rev. D (to be published)

[c1] C. Becchi and G. Morpurgo, Phys. Rev. 140, B687 (1965)

[c2] C. Becchi and G. Morpurgo, Phys. Rev. 149, 1284 (1966)

[c3] R. Van Royen and V. F. Weisskopf, Nuovo Cimento 50, 617 (1967)

[c4] C. H. Llewellyn Smith, Ann. Phys. (N.Y.) 53, 521 (1969)

[c5] G. Morpurgo, Physics 2, 95 (1965)

[c6] R. H. Dalitz, in Elementary Particle Physics (Benjamin, New York, 1967)

[c7] E. J. Squires and P. J. S. Watson, Ann. Phys. (N.Y.) 41, 409 (1967)

[c8] T. Kitazoe and T. Teshima, Nuovo Cimento 57A, 498 (1968)

[c9] T. Gudehus, Phys. Rev. 184, 1788 (1969)

[c10] P. G. O. Freund, Phys. Letters 15, 352 (1965) in Fundamental Particle Physics (Benjamin, New York, 1968)

[c11] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966)

[c12] [4]

[c13] D. Lurié, A. J. Macfarlane, and Y. Takahashi, Phys. Rev. 140, B1091 (1965)

[c14] J. J. J. Kokkedee, The Quark Model (Benjamin, New York, 1969) [3]

[c15] S. Weinberg, Phys. Rev. Letters 18, 507 (1967) J. J. Sakurai, ibid. 19, 803 (1967) T. Das, V. S. Mathur, and S. Okubo, ibid. 19, 470 (1967)

[c16] N. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967)

[c17] Review of Particle Physics, Phys. Letters 33B, 1 (1970)

[c18] B. Sakita and K. C. Wali, Phys. Rev. 139, B507 (1965)

[c19] E. Cremer, Nucl. Phys. B14, 52 (1969)

[c20] L. H. Chan, L. Clavelli, and R. Torgerson, Phys. Rev. 185, 1754 (1969)

[c21] D. F. Greenberg, Carnegie Mellon University report, 1969 (unpublished)

[c22] S. Bose and R. Torgerson, Phys. Rev. Letters 19, 1151 (1967)

[c23] A. Dar and V. F. Weisskopf, Phys. Letters 26B, 670 (1968)

[c24] K. Fukushima, M. Kaiba, and K. Kudo, Progr. Theoret. Phys. (Kyoto) 43, 172 (1970)

[c25] J. Dias de Deus, Ph.D. thesis, University of London, 1971 (unpublished)

[c26] G. B. West, Phys. Rev. Letters 24, 1206 (1970)

[c27] D. Flamm, HEP VII (Vienna), 1969

[c28] E. Lohrmann, in Proceedings of the Lund International Conference on Elementary Particles, 1969, edited by G. von Dardel (Berlingska, Lund, Sweden, 1970)

[c29] P. G. O. Freund, Nuovo Cimento, 43A, 1171 (1966) N. Cabibbo, L. Horwitz, and Y. Ne'eman, Phys. Letters 22, 336 (1966)

[c30] E. M. Levin and L. L. Frankfurt, Zh. Eksperim. i Teor. Fiz. Pis'ma v Redaktsiyu 2, 105 (1965) [Soviet Phys. JETP Letters 2, 65 (1965)] H. J. Lipkin and F. Scheck, Phys. Rev. Letters 16, 71 (1966)

[c31] J. Dias de Deus, Phys. Rev. D (to be published)

Physical Review D

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Consequences of Relativistic Quark Models for the Interactions of Hadrons

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