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Title: 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:
 [1];  [2]
  1. Stanford Univ., CA (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), 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. https://doi.org/10.1103/PhysRevLett.31.1153
Brodsky, Stanley J., and Farrar, Glennys R. Mon . "Scaling Laws at Large Transverse Momentum". United States. https://doi.org/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}
}

Journal Article:
Free Publicly Available Full Text
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Figures / Tables:

Figure 1 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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