Scaling Laws at Large Transverse Momentum

Stanley J. Brodsky and Glennys R. Farrar
Phys. Rev. Lett. 31, 1153 – Published 29 October 1973
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Abstract

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-ts predictions are (dσdt)πpπps8, (dσdt)pppps10, (dσdt)γpπps7, (dσdt)γpγps6, Fπ(q2)(q2)1, and F1p(q2)(q2)2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

  • Received 14 August 1973

DOI:https://doi.org/10.1103/PhysRevLett.31.1153

©1973 American Physical Society

Authors & Affiliations

Stanley J. Brodsky

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

Glennys R. Farrar

  • California Institute of Technology, Pasadena, California 91109

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Vol. 31, Iss. 18 — 29 October 1973

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