Asymptotics in Inelastic Electroproduction and Photoabsorption

Jean Pestieau

doi:10.1103/PhysRevD.4.1827

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Asymptotics in Inelastic Electroproduction and Photoabsorption

Jean Pestieau^*

Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, México 14, D. F.

^*On leave of absence from the University of Louvain, Belgium.

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Phys. Rev. D 4, 1827 – Published 15 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1827

Abstract

It is shown that the use of normalizable states in quantum field theory strongly suggests that scattering processes at high energies may be determined solely by light-cone contributions. Then configuration-space analysis of electromagnetic current commutators and observed behaviors of photoabsorption and of inelastic electron-proton scattering imply that scaling for deep-inelastic electroproduction cannot be related to a diffractive mechanism and that the scaling limit of $ν W_{2} (Q^{2}, ν)$ and $W_{1} (Q^{2}, ν)$ is broken when $ω = \frac{Q^{2}}{2 M ν}$ is very small ( $ω ≪ 0.05$ ). It is shown that our results are consistent with the observed scaling behavior, the parton model, and duality.

References (23)

F. J. Gilman and R. E. Taylor in International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970) E. D. Bloom et al. SLAC Report No. SLAC-PUB-746 (presented to the Fifteenth International Conference on High-Energy Physics, Kiev, U.S.S.R., 1970) (unpublished)
J. D. Bjorken, Phys. Rev. 179, 1547 (1969)
H. D. I. Abarbanel, M. L. Goldberger, and S. B. Treiman, Phys. Rev. Letters 22, 500 (1969)
H. Harari, Phys. Rev. Letters 22, 1078 (1969)
R. A. Brandt, Phys. Rev. Letters 22, 1149 (1969)
L. S. Brown, in 1969 Lectures in Theoretical Physics, edited by W. E. Brittin and K. T. Mahanthappa (Gordon and Breach, New York, 1970), Vol. XII
R. A. Brandt, Phys. Rev. D 1, 2808 (1970)
H. Leutwyler and J. Stern, Nucl. Phys. 20B, 77 (1970)
R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970)
J. Pestieau, P. Roy, and H. Terazawa, Phys. Rev. Letters 25, 402 (1970) ibid.25, 704 (E) (1970)
Y. Frishman, Phys. Rev. Letters 25, 966 (1970)
J. Pestieau and P. Roy, Lett. Nuovo Cimento 4, 1083 (1970)
S. D. Drell and T. M. Yan, Phys. Rev. Letters 25, 316 (1970) R. P. Feynman, 23, 1415 (1969) report (unpublished)
J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)
E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)
W. P. Hesse et al., Phys. Rev. Letters 25, 613 (1970)
V. N. Gribov, B. L. Joffe, and I. Ya. Pomeranchuk, Yadern. Fiz. 2, 768 (1965) [Soviet J. Nucl. Phys. 2, 549 (1966)]
B. L. Joffe, Phys. Letters 30B, 123 (1969)
M. L. Goldberger and K. W. Watson, Collision Theory (Wiley, New York, 1964), pp. 621-634 Paul Roman, Introduction to Quantum Field Theory (Wiley, New York, 1969), pp. 301-331
H. Harari, Phys. Rev. Letters 17, 1303 (1966)
J. W. Meyer and H. Suura, Phys. Rev. 160, 1366 (1967)
[12]
[9]

[c1] F. J. Gilman and R. E. Taylor in International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970) E. D. Bloom et al. SLAC Report No. SLAC-PUB-746 (presented to the Fifteenth International Conference on High-Energy Physics, Kiev, U.S.S.R., 1970) (unpublished)

[c2] J. D. Bjorken, Phys. Rev. 179, 1547 (1969)

[c3] H. D. I. Abarbanel, M. L. Goldberger, and S. B. Treiman, Phys. Rev. Letters 22, 500 (1969)

[c4] H. Harari, Phys. Rev. Letters 22, 1078 (1969)

[c5] R. A. Brandt, Phys. Rev. Letters 22, 1149 (1969)

[c6] L. S. Brown, in 1969 Lectures in Theoretical Physics, edited by W. E. Brittin and K. T. Mahanthappa (Gordon and Breach, New York, 1970), Vol. XII

[c7] R. A. Brandt, Phys. Rev. D 1, 2808 (1970)

[c8] H. Leutwyler and J. Stern, Nucl. Phys. 20B, 77 (1970)

[c9] R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970)

[c10] J. Pestieau, P. Roy, and H. Terazawa, Phys. Rev. Letters 25, 402 (1970) ibid.25, 704 (E) (1970)

[c11] Y. Frishman, Phys. Rev. Letters 25, 966 (1970)

[c12] J. Pestieau and P. Roy, Lett. Nuovo Cimento 4, 1083 (1970)

[c13] S. D. Drell and T. M. Yan, Phys. Rev. Letters 25, 316 (1970) R. P. Feynman, 23, 1415 (1969) report (unpublished)

[c14] J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)

[c15] E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c16] W. P. Hesse et al., Phys. Rev. Letters 25, 613 (1970)

[c17] V. N. Gribov, B. L. Joffe, and I. Ya. Pomeranchuk, Yadern. Fiz. 2, 768 (1965) [Soviet J. Nucl. Phys. 2, 549 (1966)]

[c18] B. L. Joffe, Phys. Letters 30B, 123 (1969)

[c19] M. L. Goldberger and K. W. Watson, Collision Theory (Wiley, New York, 1964), pp. 621-634 Paul Roman, Introduction to Quantum Field Theory (Wiley, New York, 1969), pp. 301-331

[c20] H. Harari, Phys. Rev. Letters 17, 1303 (1966)

[c21] J. W. Meyer and H. Suura, Phys. Rev. 160, 1366 (1967)

[c22] [12]

[c23] [9]

Physical Review D

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Asymptotics in Inelastic Electroproduction and Photoabsorption

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