Nonleading Energy Behavior and the Breaking of Scale Invariance in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ν</mi><mrow><msub><mrow><mi>W</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span>

Francis E. Close; J. F. Gunion

doi:10.1103/PhysRevD.4.1576

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Nonleading Energy Behavior and the Breaking of Scale Invariance in $ν W_{2}$

Francis E. Close^* and J. F. Gunion

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

^*NATO Fellow, 1970-72.

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Phys. Rev. D 4, 1576 – Published 1 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1576

Abstract

A recently proposed Regge model for describing the general features of on- and off-shell Compton scattering, using a simple form of scale-invariance breaking in $q^{2}$ , is discussed and confronted with recent data. It is suggested that the mass size characteristic of the scale-invariance breaking is indicative, as well, of the relative contributions of the Pomeranchukon, $f - A_{2}$ , and additional nonleading power behavior. The observed rapid approach to "scaling" in $q^{2}$ (at given $ν$ ) is seen to require a small characteristic mass which in turn requires a substantial nonleading contribution to the scaling function $ν W_{2}$ . Continuation of the resulting form to on-shell scattering predicts a nonleading power contribution to $σ_{tot} (γ p)$ ; a recent continuous-moment sum-rule analysis is consistent with this prediction.

Original Article

Forward Compton Scattering

Marc Damashek and Frederick J. Gilman

Phys. Rev. D 1, 1319 (1970)

References (12)

M. Damashek and F. J. Gilman, Phys. Rev. D 1, 1319 (1970) C. A. Dominguez, C. Ferro Fontan, and R. Suaya, Phys. Letters 31B, 365 (1970)
F. E. Close and J. F. Gunion, Phys. Rev. D 3, 742 (1971)
M. J. Creutz, S. D. Drell, and E. A. Paschos, Phys. Rev. 178, 2300 (1969) T. P. Cheng and Wu-Ki Tung, Phys. Rev. Letters 24, 851 (1970) H. Harari, Scottish Universities Summer School, 1970 (unpublished)
J. D. Bjorken, in Selected Topics in Particle Physics, International School of Physics "Enrico Fermi," Course XLI, edited by J. Steinberger (Academic, New York, 1967)
H. Harari, Phys. Rev. Letters 22, 1078 (1969) H. Pagels, Phys. Letters 34B, 299 (1971)
F. J. Gilman, SLAC Report No. SLAC-PUB-896 [invited talk at the Tel-Aviv Conference on Duality, 1971 (unpublished)] [2]
E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)
J. Moffat and V. G. Snell, Phys. Rev. D 3, 2848 (1971) C. Gardiner and D. Majumdar, Syracuse University Report No. NYO-3399-236 (unpublished) V. Rittenberg and H. Rubinstein, Phys. Letters 35B, 50 (1971)
[2]
M. Perl et al.., SLAC Report No. SLAC-PUB-858 (unpublished)
I. Shibasaki et al.., Tokyo University of Education Report No. TUEP-71-2, 1971 (unpublished)
Omitted endnote

[c1] M. Damashek and F. J. Gilman, Phys. Rev. D 1, 1319 (1970) C. A. Dominguez, C. Ferro Fontan, and R. Suaya, Phys. Letters 31B, 365 (1970)

[c2] F. E. Close and J. F. Gunion, Phys. Rev. D 3, 742 (1971)

[c3] M. J. Creutz, S. D. Drell, and E. A. Paschos, Phys. Rev. 178, 2300 (1969) T. P. Cheng and Wu-Ki Tung, Phys. Rev. Letters 24, 851 (1970) H. Harari, Scottish Universities Summer School, 1970 (unpublished)

[c4] J. D. Bjorken, in Selected Topics in Particle Physics, International School of Physics "Enrico Fermi," Course XLI, edited by J. Steinberger (Academic, New York, 1967)

[c5] H. Harari, Phys. Rev. Letters 22, 1078 (1969) H. Pagels, Phys. Letters 34B, 299 (1971)

[c6] F. J. Gilman, SLAC Report No. SLAC-PUB-896 [invited talk at the Tel-Aviv Conference on Duality, 1971 (unpublished)] [2]

[c7] E. D. Bloom and F. J. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c8] J. Moffat and V. G. Snell, Phys. Rev. D 3, 2848 (1971) C. Gardiner and D. Majumdar, Syracuse University Report No. NYO-3399-236 (unpublished) V. Rittenberg and H. Rubinstein, Phys. Letters 35B, 50 (1971)

[c9] [2]

[c10] M. Perl et al.., SLAC Report No. SLAC-PUB-858 (unpublished)

[c11] I. Shibasaki et al.., Tokyo University of Education Report No. TUEP-71-2, 1971 (unpublished)

[c12] Omitted endnote

Physical Review D

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Nonleading Energy Behavior and the Breaking of Scale Invariance in $ν W_{2}$

Abstract

Original Article

Forward Compton Scattering

References (12)

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Nonleading Energy Behavior and the Breaking of Scale Invariance in νW2

Abstract

Original Article

Forward Compton Scattering

References (12)

Nonleading Energy Behavior and the Breaking of Scale Invariance in $ν W_{2}$