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Phys. Rev. Lett. 31, 1153–1156 (1973)

Scaling Laws at Large Transverse Momentum

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Stanley J. Brodsky
Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

Glennys R. Farrar
California Institute of Technology, Pasadena, California 91109

Received 14 August 1973; published in the issue dated 29 October 1973

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)πpπps-8, (dσ/dt)pp→pps-10, (dσ/dt)γpπps-7, (dσ/dt)γpγps-6, Fπ(q2)(q2)-1, and F1p(q2)(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

© 1973 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.31.1153
DOI:
10.1103/PhysRevLett.31.1153
PACS: