Scaling Laws at Large Transverse Momentum
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 ($$\frac{dσ}{dt}$$)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, Fπ(q2)~(q2)-1, and F1p(q2)~(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.
- Authors:
-
- Stanford Univ., CA (United States)
- California Inst. of Technology (CalTech), Pasadena, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1442900
- Report Number(s):
- SLAC-PUB-1290
Journal ID: ISSN 0031-9007; PRLTAO
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 18; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Brodsky, Stanley J., and Farrar, Glennys R. Scaling Laws at Large Transverse Momentum. United States: N. p., 1973.
Web. doi:10.1103/PhysRevLett.31.1153.
Brodsky, Stanley J., & Farrar, Glennys R. Scaling Laws at Large Transverse Momentum. United States. doi:10.1103/PhysRevLett.31.1153.
Brodsky, Stanley J., and Farrar, Glennys R. Mon .
"Scaling Laws at Large Transverse Momentum". United States. doi:10.1103/PhysRevLett.31.1153. https://www.osti.gov/servlets/purl/1442900.
@article{osti_1442900,
title = {Scaling Laws at Large Transverse Momentum},
author = {Brodsky, Stanley J. and Farrar, Glennys R.},
abstractNote = {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, Fπ(q2)~(q2)-1, and F1p(q2)~(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.},
doi = {10.1103/PhysRevLett.31.1153},
journal = {Physical Review Letters},
number = 18,
volume = 31,
place = {United States},
year = {1973},
month = {10}
}
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Figure 1: Typical Born diagrams for large momentum transfer elastic scattering in the quark picture (a) π p → π p (quark scattering), (b) π p → π p (quark interchange), (c) e π → e π ; (d) an irreducible loop diagram, (e) a reducible loop diagram.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.