Nucleon Form Factors, Vector Dominance, and Lorentz Contraction

Arthur Lewis Licht; Antonio Pagnamenta

doi:10.1103/PhysRevD.4.2810

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Nucleon Form Factors, Vector Dominance, and Lorentz Contraction

Arthur Lewis Licht and Antonio Pagnamenta

Department of Physics, University of Illinois at Chicago Circle, Chicago, Illinois 60680

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Phys. Rev. D 4, 2810 – Published 1 November, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2810

Abstract

We use the notion of Lorentz contraction of a composite cluster combined with vector-meson dominance of the one-photon exchange to derive the asymptotic form of the nucleon form factors. For the three-quark model we find a $t^{- 2}$ prediction which fits the data very well at large spacelike $t$ . Only the observed vector mesons, $ρ$ , $ω$ , and $φ$ , are used. Our results predict deviations from the scaling laws which are directly related to the nonvanishing electric form factor of the neutron and are of the same magnitude.

References (31)

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[c1] R. Hofstadter, Rev. Mod. Phys. 28, 214 (1956)

[c2] T. T. Wu and C. N. Yang, Phys. Rev. Letters 20, 1213 (1968)

[c3] R. Jengo and E. Remiddi, Lett. Nuovo Cimento 44, 309 (1969)

[c4] P. N. Kirk et al., SLAC Report No. SLAC-PUB-656 (unpublished) D. H. Coward et al., Phys. Rev. Letters 20, 292 (1968)

[c5] Y. Nambu, Phys. Rev. 106, 1366 (1957) W. R. Frazer and J. R. Fulco, ibid. 17, 1603 (1960)

[c6] N. M. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967) H. Joos, in Special Problems in High Energy Physics, edited by P. Urban (Springer, Vienna, 1967), p. 320

[c7] M. Goitein, J. R. Dunning, and R. Wilson, Phys. Rev. Letters 18, 1018 (1967) King-yuen Ng, Phys. Rev. 170, 1435 (1968) T. Massam and A. Zichichi, Nuovo Cimento 44A, 309 (1966)

[c8] J. G. Rutherglen, in the International Symposium on Electron and Photon Interactions at High Energies, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970) [21]

[c9] T. Appelquist and J. R. Primack, Phys. Rev. D 1, 1144 (1970)

[c10] A. L. Licht and A. Pagnamenta, Phys. Rev. D 2, 1150 (1970)

[c11] A. L. Licht and A. Pagnamenta, Phys. Rev. D 2, 1156 (1970)

[c12] K. Fujimura, T. Kobayashi, and M. Namiki, Progr. Theoret. Phys. (Kyoto) 43, 73 (1970) ibid. 44, 193 (1970)

[c13] T. Takabayashi, Phys. Rev. 139, B1381 (1965)

[c14] A. O. Barut, Phys. Rev. 161, 1464 (1967) in Coral Gables Conference on Fundamental Interactions at High Energy II, edited by A. Perlmutter, G. J. Iverson, and R. M. Williams (Gordon and Breach, New York, 1970), p. 199

[c15] R. Van Royen and V. F. Weisskopf, Nuovo Cimento 50A, 617 (1967)

[c16] E. M. Levin and L. L. Frankfurt, Zh. Eksperim. i Teor. Fiz. Pis'ma Redaktsiyu 2, 105 (1965) [Soviet Phys. JETP Letters 2, 65 (1965)]

[c17] H. J. Lipkin and F. Scheck, Phys. Rev. Letters 16, 71 (1966)

[c18] A. Pagnamenta, Symmetries and Quark Models (Gordon and Breach, New York, 1970), p. 291

[c19] O. W. Greenberg and M. Resnikoff, Phys. Rev. 163, 1844 (1967)

[c20] W. Bartel et al., Phys. Letters 33B, 245 (1970) Ch. Berger et al., ibid. 28B, 276 (1968)

[c21] E. Lohrmann, in Proceedings of the Lund International Conference on Elementary Particles, edited by G. von Dardel (Berlingska, Lund, Sweden, 1970), p. 11

[c22] G. Weber, in Proceedings of the Third International Symposium on Electron and Photon Interactions at High Energies, Stanford Linear Accelerator Center, Stanford, California, 1967 (Clearing House of Federal Scientific and Technical Information, Washington, D. C., 1968), p. 59

[c23] C. R. Schumacher and I. M. Engle, ANL-HEP Report No. 7032 (1970)

[c24] O. W. Greenberg, Phys. Rev. Letters 13, 598 (1964)

[c25] M. Y. Hahn and Y. Nambu, Phys. Rev. 139, B1006 (1965)

[c26] V. E. Krohn and G. R. Ringo, Phys. Rev. 148, 1303 (1960)

[c27] A. N. Mitra and R. Majumdar, Phys. Rev. 150, 1194 (1966)

[c28] R. F. Meyer, Lett. Nuovo Cimento 2, 76 (1969)

[c29] R. E. Kreps and J. J. de Swart, Phys. Rev. 162, 1729 (1967)

[c30] H. Högaasen and A. Frisk, Phys. Letters 22, 90 (1966) R. K. Logan, J. Beaupre, and L. Sertorio, Phys. Rev. Letters 18, 259 (1967)

[c31] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

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Nucleon Form Factors, Vector Dominance, and Lorentz Contraction

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