Scaling Limit of Longitudinal Virtual Compton Cross Sections

Jeffrey E. Mandula

doi:10.1103/PhysRevD.8.328

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Scaling Limit of Longitudinal Virtual Compton Cross Sections

Jeffrey E. Mandula^*

California Institute of Technology, Pasadena, California 91109

^*Work supported in part by the U. S. Atomic Energy Commission. Prepared under Contract No. AT(11-1)-68 for the San Francisco Operations Office, U. S. Atomic Energy Commission.

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Phys. Rev. D 8, 328 – Published 1 July, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.328

Abstract

It is shown that the hypothesis that the quark model gives the correct leading, $δ^{'} (x^{2})$ , light-cone singularity of current commutators requires that $R$ , the ratio of longitudinal to transverse virtual Compton cross sections, go to zero like $\frac{1}{ν}$ in the Bjorken limit.

References (14)

H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Cone, 1971 Coral Gables Conference on Fundamental Interactions at High Energies, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971), Vol. 2, p. 1
H. W. Kendall, in Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, 1971, edited by N. B. Mistry (Cornell Univ. Press, Ithaca, N. Y., 1972)
Omitted endnote
C. G. Callan and D. J. Gross, Phys. Rev. Lett. 22, 156 (1969)
R. P. Feynman (unpublished)
R. Brandt and G. Preparata, Nucl. Phys. B27, 541 (1971)
Y. Frishman, Phys. Rev. Lett. 25, 966 (1970)
K. Wilson, Phys. Rev. 179, 1499 (1969)
J. D. Bjorken, Phys. Rev. 179, 1547 (1969)
J. Mandula, A. Schwimmer, J. Weyers, and G. Zweig, Phys. Lett. 37B, 109 (1971)
K. T. Mahanthappa and Tsu Yao, Phys. Lett. 39B, 549 (1972)
D. Dicus, R. Jackiw, and V. Teplitz, Phys. Rev. D 4, 1733 (1971)
M. Doncel and E. de Rafael, Nuovo Cimento 4A, 363 (1971)
Omitted endnote

[c1] H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Cone, 1971 Coral Gables Conference on Fundamental Interactions at High Energies, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971), Vol. 2, p. 1

[c2] H. W. Kendall, in Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, 1971, edited by N. B. Mistry (Cornell Univ. Press, Ithaca, N. Y., 1972)

[c3] Omitted endnote

[c4] C. G. Callan and D. J. Gross, Phys. Rev. Lett. 22, 156 (1969)

[c5] R. P. Feynman (unpublished)

[c6] R. Brandt and G. Preparata, Nucl. Phys. B27, 541 (1971)

[c7] Y. Frishman, Phys. Rev. Lett. 25, 966 (1970)

[c8] K. Wilson, Phys. Rev. 179, 1499 (1969)

[c9] J. D. Bjorken, Phys. Rev. 179, 1547 (1969)

[c10] J. Mandula, A. Schwimmer, J. Weyers, and G. Zweig, Phys. Lett. 37B, 109 (1971)

[c11] K. T. Mahanthappa and Tsu Yao, Phys. Lett. 39B, 549 (1972)

[c12] D. Dicus, R. Jackiw, and V. Teplitz, Phys. Rev. D 4, 1733 (1971)

[c13] M. Doncel and E. de Rafael, Nuovo Cimento 4A, 363 (1971)

[c14] Omitted endnote

Physical Review D

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Scaling Limit of Longitudinal Virtual Compton Cross Sections

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References (14)

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