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Scaling laws at large transverse momentum

Brodsky, Stanley J. and Farrar, Glennys R. (1973) Scaling laws at large transverse momentum. Physical Review Letters, 31 (18). pp. 1153-1156. ISSN 0031-9007. doi:10.1103/PhysRevLett.31.1153.

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The application of simple dimensional counting to bound states of pointlike particles enables us to derive scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle which only depend on the number of constituent fields of the hadrons. Assuming quark constituents, some of the s→∞, fixed-t/s predictions are (dσ/dt)πp→πp∼s^-8, (dσ/dt)pp→pp∼s^-10, (dσ/dt)γp→πp∼s^-7, (dσ/dt)γp→γp∼s^-6, Fπ(q^2)∼(q2)^-1, and F1p(q^2)∼(q^2)^-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

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Additional Information:©1973 The American Physical Society. Received 14 August 1973. We wish to thank our colleagues, especially J. Bjorken, R. Blankenbecler, S. Drell, J. Gunion, Y. Frishman, and J. Kiskis, for helpful cornments, and one of us (G.R.F.) wishes to thank the Stanford Linear Accelerator Center for a stimulating and enjoyable stay while this work was being done.
Issue or Number:18
Record Number:CaltechAUTHORS:BROprl73
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3831
Deposited By: Tony Diaz
Deposited On:13 Jul 2006
Last Modified:08 Nov 2021 20:12

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