Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets

G. Domokos; S. Kovesi-Domokos; E. Schonberg

doi:10.1103/PhysRevD.3.1184

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Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets

G. Domokos, S. Kovesi-Domokos, and E. Schonberg

Department of Physics, The Johns Hopkins University, Baltimore, Maryland 21218

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Phys. Rev. D 3, 1184 – Published 1 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1184

Abstract

We construct a resonance model of deep-inelastic electron scattering. Using semiempirical rules for the form of the nucleon spectrum and a universality hypothesis for the transition form factors, we obtain explicit expressions for the structure functions $W_{1}$ and $W_{2}$ in the Bjorken limit. The ratio of the longitudinal to transverse photoabsorption cross sections vanishes for large momentum transfers, and $ν W_{2}$ becomes scale invariant. A one-parameter fit is obtained to $ν W_{2}$ (proton), and a zero-parameter prediction is made of $ν W_{2}$ (proton)- $ν W_{2}$ (neutron). There is good agreement between the theory and experiment in the region where scale invariance is well established.

References (18)

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R. P. Feynman, Phys. Rev. Letters 23, 1415 (1969)
S. D. Drell, D. J. Levy, and T. M. Yan, Phys. Rev. Letters 22, 744 (1969)
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H. Harari, Phys. Rev. Letters 22, 1978 (1969)
H. Abarbanel, M. L. Goldberger, and S. B. Treiman, Phys. Rev. Letters 22, 500 (1969)
V. F. Weisskopf, DESY Report No. 70/50, 1970 (unpublished)
S. Kovesi-Domokos, Johns Hopkins University (JHU) Technical Report No. NYO-4076-4, 1969 (unpublished)
G. Domokos and S. Kovesi-Domokos, JHU Report No. NYO-4076-9, 1970 (unpublished) Nuovo Cimento (to be published) G. Domokos, S. Kovesi-Domokos, and E. Schonberg, JHU Report No. NYO-4076-11, 1970 (unpublished) P. V. Landshoff and J. C. Polkinghorne, Nucl. Phys. B19, 432 (1970) E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)
J. D. Bjorken and J. D. Walecka, Ann. Phys. (N. Y.) 38, 35 (1966)
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A. Barbaro-Galtieri, S. E. Derenzo, L. R. Price, A. Rittenberg, A. H. Rosenfeld, N. Barash-Schmidt, C. Bricman, M. Roos, P. Söding, and C. G. Wohl, Rev. Mod. Phys. 42, 87 (1970)
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[c1] J. D. Bjorken, Phys. Rev. 179, 1547 (1969)

[c2] J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)

[c3] R. P. Feynman, Phys. Rev. Letters 23, 1415 (1969)

[c4] S. D. Drell, D. J. Levy, and T. M. Yan, Phys. Rev. Letters 22, 744 (1969)

[c5] J. J. Sakurai, Phys. Rev. Letters 22, 981 (1969)

[c6] H. Harari, Phys. Rev. Letters 22, 1978 (1969)

[c7] H. Abarbanel, M. L. Goldberger, and S. B. Treiman, Phys. Rev. Letters 22, 500 (1969)

[c8] V. F. Weisskopf, DESY Report No. 70/50, 1970 (unpublished)

[c9] S. Kovesi-Domokos, Johns Hopkins University (JHU) Technical Report No. NYO-4076-4, 1969 (unpublished)

[c10] G. Domokos and S. Kovesi-Domokos, JHU Report No. NYO-4076-9, 1970 (unpublished) Nuovo Cimento (to be published) G. Domokos, S. Kovesi-Domokos, and E. Schonberg, JHU Report No. NYO-4076-11, 1970 (unpublished) P. V. Landshoff and J. C. Polkinghorne, Nucl. Phys. B19, 432 (1970) E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c11] J. D. Bjorken and J. D. Walecka, Ann. Phys. (N. Y.) 38, 35 (1966)

[c12] P. Suranyi (private communication)

[c13] A. Barbaro-Galtieri, S. E. Derenzo, L. R. Price, A. Rittenberg, A. H. Rosenfeld, N. Barash-Schmidt, C. Bricman, M. Roos, P. Söding, and C. G. Wohl, Rev. Mod. Phys. 42, 87 (1970)

[c14] W. K. H. Panofsky, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 23

[c15] G. Morpurgo, in [14], p. 225

[c16] M. D. Scadron, Phys. Rev. 165, 1640 (1968)

[c17] E. D. Bloom, G. Buschhorn, R. L. Cottrell, D. H. Coward, H. DeStaebler, J. Drees, C. L. Jordan, G. Miller, L. Mo, H. Piel, R. E. Taylor, M. Breidenbach, W. R. Ditzler, J. I. Friedman, G. C. Hartmann, H. W. Kendall, and J. S. Poucher, SLAC Report No. SLAC-PUB-796, 1970 (unpublished)

[c18] S. D. Drell and T. M. Yan, Phys. Rev. Letters 24, 181 (1970) ([10])

Physical Review D

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Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets

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Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. II. Spin Dependence of the Cross Section

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