Parton Model with Variable Intermediate-State Parton Mass

O. W. Greenberg; D. Bhaumik

doi:10.1103/PhysRevD.4.2048

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Parton Model with Variable Intermediate-State Parton Mass

O. W. Greenberg^* and D. Bhaumik^†

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

^*Supported in part by the National Science Foundation under Grant No. NSF GP 8748.
^†Supported in part by the National Science Foundation under Grant No. NSF GU 2061.

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Phys. Rev. D 4, 2048 – Published 1 October, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2048

Abstract

The parton model is modified by allowing the parton mass to change after absorbing the spacelike photon. Each prescription for the intermediate-state parton mass leads to a model with a definite scaling variable and to a scale-invariance-breaking factor which describes the approach to scaling. The model with Bloom et al.'s variable $ω^{'}$ has the required linear zero in $ν W_{2}$ as $Q^{2} \to 0$ for fixed $ω$ , and has a scale-invariance-breaking factor which agrees with experiment for $1 \leq ω^{'} \leq 12$ . The prescription that the parton mass must vanish after absorbing the photon leads to the scaling variable $\hat{ω}$ , which also occurs in the light-cone-singularity dominance model. Models which allow agreement of the sum rule for the mean squared charge per parton with experiment are given, as are models which have diffractive behavior for $Q^{2}$ near zero.

References (13)

R. P. Feynman, in High Energy Collisions, Third International Conference held at State University of New York, Stony Brook, 1969, edited by C. N. Yang (Gordon and Breach, New York, 1969)
J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)
E. D. Bloom et al., SLAC Report No. SLAC-PUB-796, 1970 (unpublished) E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)
C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 151 (1970)
C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 2040 (1970)
O. Nachtmann, CERN Report No. CERN-TH-1221, 1970 (unpublished) Nucl. Phys. B28, 283 (1971)
[5]
E. D. Bloom et al., Phys. Rev. Letters 23, 930 (1969)
Bloom and Gilman ([3], footnote 6) Y. Frishman (private communication) H. Fritzsch, in Proceedings of the Coral Gables Conference, 1971 (unpublished)
R. A. Brandt, Phys. Rev. Letters 23, 1260 (1969) Phys. Rev. D 1, 2808 (1970) Phys. Letters 33B, 312 (1970) R. A. Brandt and G. Preparata, Phys. Rev. Letters 25, 1530 (1970) CERN Report No. CERN-TH-1208, 1970 (unpublished) R. A. Brandt and C. A. Orzalesi, N.Y.U. report, 1970 (unpublished) L. S. Brown, in Boulder Lectures in Theoretical Physics, edited by K. T. Mahanthappa and W. E. Brittin (Gordon and Breach, New York, to be published), Vol. XII Y. Frishman, Phys. Rev. Letters 25, 966 (1970) B. L. Ioffe, Phys. Letters 30B, 123 (1969) R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970) H. Leutwyler and J. Stern, Nucl. Phys. B20, 77 (1970) C. A. Orzalesi and P. Raskin, N.Y.U. report, 1971 (unpublished) J. Sucher and C.-H. Woo, Phys. Rev. Letters 27, 696 (1971)
Omitted endnote
M. Gell-Mann [in Proceedings of the Coral Gables Conference, 1971 (unpublished)]
Omitted endnote

[c1] R. P. Feynman, in High Energy Collisions, Third International Conference held at State University of New York, Stony Brook, 1969, edited by C. N. Yang (Gordon and Breach, New York, 1969)

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

[c3] E. D. Bloom et al., SLAC Report No. SLAC-PUB-796, 1970 (unpublished) E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c4] C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 151 (1970)

[c5] C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 2040 (1970)

[c6] O. Nachtmann, CERN Report No. CERN-TH-1221, 1970 (unpublished) Nucl. Phys. B28, 283 (1971)

[c7] [5]

[c8] E. D. Bloom et al., Phys. Rev. Letters 23, 930 (1969)

[c9] Bloom and Gilman ([3], footnote 6) Y. Frishman (private communication) H. Fritzsch, in Proceedings of the Coral Gables Conference, 1971 (unpublished)

[c10] R. A. Brandt, Phys. Rev. Letters 23, 1260 (1969) Phys. Rev. D 1, 2808 (1970) Phys. Letters 33B, 312 (1970) R. A. Brandt and G. Preparata, Phys. Rev. Letters 25, 1530 (1970) CERN Report No. CERN-TH-1208, 1970 (unpublished) R. A. Brandt and C. A. Orzalesi, N.Y.U. report, 1970 (unpublished) L. S. Brown, in Boulder Lectures in Theoretical Physics, edited by K. T. Mahanthappa and W. E. Brittin (Gordon and Breach, New York, to be published), Vol. XII Y. Frishman, Phys. Rev. Letters 25, 966 (1970) B. L. Ioffe, Phys. Letters 30B, 123 (1969) R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970) H. Leutwyler and J. Stern, Nucl. Phys. B20, 77 (1970) C. A. Orzalesi and P. Raskin, N.Y.U. report, 1971 (unpublished) J. Sucher and C.-H. Woo, Phys. Rev. Letters 27, 696 (1971)

[c11] Omitted endnote

[c12] M. Gell-Mann [in Proceedings of the Coral Gables Conference, 1971 (unpublished)]

[c13] Omitted endnote

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Parton Model with Variable Intermediate-State Parton Mass

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