Scaling Laws at Large Transverse Momentum

Brodsky, Stanley J.; Farrar, Glennys R.

doi:10.1103/PhysRevLett.31.1153

Scaling Laws at Large Transverse Momentum

Journal Article · Sun Oct 28 23:00:00 EST 1973 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.31.1153· OSTI ID:1442900

Brodsky, Stanley J. ^[1]; Farrar, Glennys R. ^[2]

Stanford Univ., CA (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States)

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 ($$\frac{dσ}{dt}$$)_πp→πp~s^-8, ($$\frac{dσ}{dt}$$)_pp→pp~s^-10, ($$\frac{dσ}{dt}$$)_γp→πp~s^-7, ($$\frac{dσ}{dt}$$)_γp→γp~s^-6, F_π(q²)~(q²)^-1, and F_1p(q²)~(q²)^-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1442900

Report Number(s):: SLAC-PUB--1290

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 31; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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