Brodsky, Stanley J. and Farrar, Glennys R. (1975) Scaling laws for large-momentum-transfer processes. Physical Review D, 11 (5). pp. 1309-1330. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:BROprd75
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Dimensional scaling laws are developed as an approach to understanding the energy dependence of high-energy scattering processes at fixed center-of-mass angle. Given a reasonable assumption on the short-distance behavior of bound states, and the absence of an internal mass scale, we show that at large s and t, dσ/dt(A B→C D)∼s-n+2f(t/s); n is the total number of fields in A, B, C, and D which carry a finite fraction of the momentum. A similar scaling law is obtained for large-p⊥ inclusive scattering. When the quark model is used to specify n, we find good agreement with experiments. For instance, this accounts naturally for the (q2)-2 asymptotic behavior of the proton form factor. We examine in detail the field-theoretic foundations of the scaling laws and the assumption which needs to be made about the short-distance and infrared behavior of a bound state.
|Additional Information:||©1975 The American Physical Society Received 4 September 1974 We have benefited from conversations with many colleagues at SLAC and Caltech and elsewhere, especially T. Appelquist, J. D. Bjorken, R. Blankenbecler, J. Bronzan, P. Cvitanović, S. D. Drell, R. P. Feynman, Y. Frishman, M. Gell-Mann, J. Gunion, J. Kiskis, R. Sugar, and T.-M. Yan.|
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|Deposited On:||25 May 2006|
|Last Modified:||26 Dec 2012 08:53|
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