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 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 = {Mon Oct 29 00:00:00 EST 1973},
month = {Mon Oct 29 00:00:00 EST 1973}
}
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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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Works referenced in this record:
Composite Theory of Inclusive Scattering at Large Transverse Momenta
journal, November 1972
- Gunion, J. F.; Brodsky, S. J.; Blankenbecler, R.
- Physical Review D, Vol. 6, Issue 9
Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970
- Bloom, E. D.; Gilman, F. J.
- Physical Review Letters, Vol. 25, Issue 16
Scaling Properties and the Bound-State Nature of the Physical Nucleon
journal, April 1972
- Drell, S. D.; Lee, T. D.
- Physical Review D, Vol. 5, Issue 7
Connection Between Inelastic Proton-Proton Reactions and Deep Inelastic Electron Scattering
journal, December 1970
- Berman, S. M.; Jacob, M.
- Physical Review Letters, Vol. 25, Issue 24
Elastic Electron-Proton Scattering at Large Four-Momentum Transfer
journal, July 1973
- Kirk, P. N.; Breidenbach, M.; Friedman, J. I.
- Physical Review D, Vol. 8, Issue 1
Phenomenology of Photon Processes, Vector Dominance, and Crucial Tests for Parton Models
journal, July 1972
- Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F.
- Physical Review D, Vol. 6, Issue 1
Inclusive Processes at High Transverse Momentum
journal, December 1971
- Berman, S. M.; Bjorken, J. D.; Kogut, J. B.
- Physical Review D, Vol. 4, Issue 11
Inclusive processes at high transverse momentum
journal, December 1972
- Blankenbecler, R.; Brodsky, S. J.; Gunion, J. F.
- Physics Letters B, Vol. 42, Issue 4
t/s scaling in strong interactions
journal, November 1972
- Horn, D.; Moshe, M.
- Nuclear Physics B, Vol. 48, Issue 2
Strong Interactions at Large Transverse Momentum
journal, August 1973
- Landshoff, P. V.; Polkinghorne, J. C.
- Physical Review D, Vol. 8, Issue 3
Works referencing / citing this record:
A Survey of Polarization Asymmetries Predicted by QCD
journal, January 1981
- Baldracchini, F.; Craigie, N. S.; Roberto, V.
- Fortschritte der Physik, Vol. 29, Issue 11-12
Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories
journal, January 1986
- Dorn, H.
- Fortschritte der Physik, Vol. 34, Issue 1
Inclusive interactions of high-energy neutrinos and antineutrinos in iron
journal, June 1979
- Groot, J. G. H.; Hansl, T.; Holder, M.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 1, Issue 2
A model for pion-pion scattering in large-N QCD
journal, April 2017
- Veneziano, G.; Yankielowicz, S.; Onofri, E.
- Journal of High Energy Physics, Vol. 2017, Issue 4
Constituent Counting Rules and Exotic Hadrons
journal, July 2018
- Lebed, Richard F.
- Few-Body Systems, Vol. 59, Issue 5
The status of glueballs
journal, February 2013
- Ochs, Wolfgang
- Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 4
Deep inelastic scattering and gauge/string duality
journal, May 2003
- Polchinski, Joseph; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 2003, Issue 05
Deep inelastic scattering from gauge string duality in the soft wall model
journal, March 2008
- Bayona, C. A. Ballon; Boschi-Filho, Henrique; Braga, Nelson R. F.
- Journal of High Energy Physics, Vol. 2008, Issue 03
Features of ω photoproduction off nucleon target at forward angles: dominance of π exchange with Regge cuts and scaling of differential cross-sections
journal, May 2019
- Yu, Byung-Geel; Choi, Tae Keun; Kong, Kook-Jin
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 7
Physics achievements from the Belle experiment
journal, January 2012
- Brodzicka, J.; Browder, T.; Chang, P.
- Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
scaling in hadron-hadron collisions at high energies
journal, November 1996
- Zborovský, I.; Panebratsev, Yu. A.; Tokarev, M. V.
- Physical Review D, Vol. 54, Issue 9
Generalized -scaling in proton-proton collisions at high energies
journal, May 2007
- Zborovský, I.; Tokarev, M. V.
- Physical Review D, Vol. 75, Issue 9
Hadron structure in decays
journal, February 2010
- Gómez Dumm, D.; Roig, P.; Pich, A.
- Physical Review D, Vol. 81, Issue 3
Testing the running coupling -factorization formula for the inclusive gluon production
journal, September 2016
- Durães, F. O.; Giannini, A. V.; Gonçalves, V. P.
- Physical Review D, Vol. 94, Issue 5
Baryons in a soft-wall AdS-Schwarzschild approach at low temperature
journal, June 2019
- Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
- Physical Review D, Vol. 99, Issue 11
Complete Measurement of the Electromagnetic Form Factors
journal, September 2019
- Ablikim, M.; Achasov, M. N.; Adlarson, P.
- Physical Review Letters, Vol. 123, Issue 12
Measurement of the Energy Dependence of Elastic and Scattering at Large Angles
journal, February 1978
- Jenkins, K. A.; Price, L. E.; Klem, R.
- Physical Review Letters, Vol. 40, Issue 7
Precise Measurement of the Deuteron Elastic Structure Function
journal, February 1999
- Abbott, D.; Ahmidouch, A.; Anklin, H.
- Physical Review Letters, Vol. 82, Issue 7
Multiplicity dependence of z scaling for identified hadrons
journal, July 2007
- Tokarev, M. V.; Zborovský, I.
- Physics of Atomic Nuclei, Vol. 70, Issue 7
Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data
journal, March 2018
- Kotikov, A. V.; Krivokhizhin, V. G.; Shaikhatdenov, B. G.
- Physics of Atomic Nuclei, Vol. 81, Issue 2
z-scaling in heavy ion collisions at the RHIC
journal, September 2007
- Tokarev, M. V.
- Physics of Particles and Nuclei Letters, Vol. 4, Issue 5
Feasibility studies of the time-like proton electromagnetic form factor measurements with $ \overline{{P}}$ANDA at FAIR
journal, April 2010
- Sudoł, M.; Mora Espí, M. C.; Becheva, E.
- The European Physical Journal A, Vol. 44, Issue 3
The structure of the nucleon: Elastic electromagnetic form factors
journal, July 2015
- Punjabi, V.; Perdrisat, C. F.; Jones, M. K.
- The European Physical Journal A, Vol. 51, Issue 7
Glueball masses and Regge trajectories for the QCD-inspired potential
journal, August 2012
- Sergeenko, M. N.
- The European Physical Journal C, Vol. 72, Issue 8
Deep inelastic scattering of baryons in a modified soft wall model
journal, December 2012
- Braga, Nelson R. F.; Vega, Alfredo
- The European Physical Journal C, Vol. 72, Issue 12
Nucleon parton distributions in a light-front quark model
journal, February 2017
- Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
- The European Physical Journal C, Vol. 77, Issue 2
Revisiting the mechanical properties of the nucleon
journal, January 2019
- Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P.
- The European Physical Journal C, Vol. 79, Issue 1
SELF-SIMILARITY OF JET PRODUCTION IN pp AND $p{\bar p}$ COLLISIONS AT RHIC, TEVATRON AND LHC
journal, August 2012
- Tokarev, M. V.; Dedovich, T. G.; ZborovskÝ, I.
- International Journal of Modern Physics A, Vol. 27, Issue 21
Deeply virtual Compton scattering
journal, November 2015
- Marukyan, Hrachya
- International Journal of Modern Physics A, Vol. 30, Issue 32
New indication on scaling properties of strangeness production in pp collisions at RHIC
journal, February 2017
- Tokarev, M. V.; Zborovský, I.
- International Journal of Modern Physics A, Vol. 32, Issue 05
Nucleon spin structure
journal, October 2015
- Zhu, Wei; Ruan, Jianhong
- International Journal of Modern Physics E, Vol. 24, Issue 10
Quark asymmetries in the proton from a model for parton densities
text, January 2005
- Alwall, J.; Ingelman, G.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Sum rule improved double parton distributions in position space
text, January 2020
- Diehl, Markus; Gaunt, Jonathan R.; Lang, Daniel M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Tagging diquarks by protons of high transverse momentum inpp collisions at the ISR
journal, December 1987
- Breakstone, A.; Campanini, R.; Crawley, H. B.
- Zeitschrift für Physik C Particles and Fields, Vol. 36, Issue 4
Dirac magnetic-monopole pair production in relativistic nucleus-nucleus collisions
journal, April 1986
- Roberts, L. E.
- Il Nuovo Cimento A, Vol. 92, Issue 3
The spin structure of the nucleon
journal, January 2005
- Kabuss, Eva-Maria
- Czechoslovak Journal of Physics, Vol. 55, Issue S1
Self-similarity of hadron production: z-scaling
journal, September 2015
- Tokarev, M. V.; Zborovský, I.
- Theoretical and Mathematical Physics, Vol. 184, Issue 3
Recent Results from the CERN LHC Experiment TOTEM: Implications for Odderon Exchange
journal, January 2019
- Csörgő, T.
- EPJ Web of Conferences, Vol. 206
Two-body neutral final states produced in antiproton-proton annihilations at GeV
journal, September 1997
- Armstrong, T. A.; Bettoni, D.; Bharadwaj, V.
- Physical Review D, Vol. 56, Issue 5
Bound-State Scalar Form Factor for Two Fermions within the Relativistic Quasipotential Approach
journal, May 2018
- Chernichenko, Yu. D.
- Physics of Atomic Nuclei, Vol. 81, Issue 3
Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
journal, February 2010
- Actis, S.; Arbuzov, A.; Balossini, G.
- The European Physical Journal C, Vol. 66, Issue 3-4
Study of $$B^-\rightarrow \Lambda \bar{p}\eta ^{(')}$$ B - → Λ p ¯ η ( ′ ) and $$\bar{B}^0_s\rightarrow \Lambda \bar{\Lambda }\eta ^{(')}$$ B ¯ s 0 → Λ Λ ¯ η ( ′ ) decays
journal, May 2019
- Hsiao, Y. K.; Geng, C. Q.; Yu, Yao
- The European Physical Journal C, Vol. 79, Issue 5
Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography
conference, December 2016
- J. Brodsky, Stanley; F. de Téramond, Guy; Günter Dosch, Hans
- Conference on New Physics at the Large Hadron Collider
Parton Distribution Functions and models of proton structure functions with self-similarity
journal, December 2016
- Choudhury, D. K.; Saikia, Baishali
- International Journal of Modern Physics A, Vol. 31, Issue 34
The Meson Production in Proton–Proton Collisions in Next-To-Leading Order and Infrared Renormalons
journal, May 2011
- Ahmadov, A. I.; Burjaliyev, R. M.
- International Journal of Modern Physics E, Vol. 20, Issue 05
Complete Measurement of the $Λ$ Electromagnetic Form Factors
text, January 2019
- Ablikim, M.; Achasov, M. N.; Adlarson, P.
- GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
Nucleon Spin Structure
journal, November 2004
- Korsch, Wolfgang; Jefferson Lab, Polarized 3He Collaborat
- Acta Physica Hungarica A) Heavy Ion Physics, Vol. 21, Issue 2-4
Sum rule improved double parton distributions in position space
text, January 2020
- Diehl, M.; Gaunt, J. R.; Lang, D. M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories
journal, January 1986
- Dorn, H.
- Fortschritte der Physik/Progress of Physics, Vol. 34, Issue 1
Two body photodisintegration of the deuteron up to 2.8 GeV
conference, January 1995
- Belz, J. E.; Potterveld, D. H.; Anthony, P.
- The 5th conference on the intersections of particle and nuclear physics, AIP Conference Proceedings
Transition between nuclear and quark–gluon descriptions of hadrons and light nuclei
journal, July 2012
- Holt, R. J.; Gilman, R.
- Reports on Progress in Physics, Vol. 75, Issue 8
asymmetry in decays within the standard model and beyond
journal, December 2019
- Chen, Feng-Zhi; Li, Xin-Qiang; Yang, Ya-Dong
- Physical Review D, Vol. 100, Issue 11
Sum rule improved double parton distributions in position space
journal, May 2020
- Diehl, M.; Gaunt, J. R.; Lang, D. M.
- The European Physical Journal C, Vol. 80, Issue 5
Nucleon Knockout by Intermediate Energy Electrons
book, January 2006
- Kelly, James J.
- Advances in Nuclear Physics
Forward inclusive production spectrum of , , , and in the collision of 200-GeV/ c , , , and on Be
journal, July 1978
- Edwards, R. T.; Devlin, T.; Edelman, B.
- Physical Review D, Vol. 18, Issue 1
THE SMALL x BEHAVIOR OF THE GLUON STRUCTURE FUNCTION FROM TOTAL CROSS-SECTIONS
journal, January 2008
- Luna, E. G. S.; Natale, A. A.; Zanetti, C. M.
- International Journal of Modern Physics A, Vol. 23, Issue 01
AdS/QCD, LIGHT-FRONT HOLOGRAPHY, AND THE NONPERTURBATIVE RUNNING COUPLING
journal, November 2010
- Brodsky, Stanley J.; De TÉRamond, Guy; Deur, Alexandre
- International Journal of Modern Physics A, Vol. 25, Issue 27n28
z Scaling at RHIC
journal, January 2006
- Tokarev, M. V.
- Physics of Particles and Nuclei Letters, Vol. 3, Issue 1
Hadronic form factors in asymptotically free field theories
report, January 1974
- Gross, D. J.; Treiman, S. B.
QCD rescattering and high-energy two-body photodisintegration of the deuteron
text, January 2000
- Frankfurt, Leonid L.; Miller, Gerald A.; Sargsian, Misak M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
PHENOMENOLOGICAL EVIDENCE FOR A THIRD RADIAL EXCITATION OF r(770)
text, January 1990
- Biagini, M. E.; Dubnicka, S.; Etim, E.
- INFN Open Access Repository
Electromagnetic form factors of the nucleon: new fit and analysis of uncertainties
text, January 2008
- Alberico, W. M.; Bilenky, S. M.; Giunti, C.
- arXiv
Feasibility studies of the time-like proton electromagnetic form factor measurements with PANDA at FAIR
text, January 2009
- Sudol, M.; Espi, M. C. Mora; Becheva, E.
- arXiv
Nonperturbative QCD Coupling and its $β$ function from Light-Front Holography
text, January 2010
- Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre
- arXiv
AdS/QCD, Light-Front Holography, and the Nonperturbative Running Coupling
text, January 2010
- Brodsky, Stanley J.; de Teramond, Guy F.; Deur, Alexandre
- arXiv
The Meson Production in Proton-Proton Collisions in Next-To-Leading Order and Infrared Renormalons
text, January 2010
- Ahmadov, A. I.; Burjaliyev, R. M.
- arXiv
Deep inelastic scattering of baryons in a modified soft wall model
text, January 2011
- Braga, Nelson R. F.; Vega, Alfredo
- arXiv
Physics Achievements from the Belle Experiment
preprint, January 2012
- Brodzicka, Jolanta; Browder, Thomas; Chang, Paoti
- arXiv
Measurement of neutral current e+/-p cross sections at high Bjorken x with the ZEUS detector
text, January 2013
- Collaboration, Zeus; Abramowicz, H.; Abt, I.
- arXiv
Nucleon structure in a light-front quark model consistent with quark counting rules and data
text, January 2014
- Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
- arXiv
Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models
text, January 2018
- Sufian, Raza Sabbir; Liu, Tianbo; de Téramond, Guy F.
- arXiv
Initial-state energy loss in cold QCD matter and the Drell-Yan process
text, January 2018
- Arleo, François; Naïm, Charles-Joseph; Platchkov, Stephane
- arXiv
Structure Functions of the Nucleon and their Interpretation
text, January 1997
- Cooper-Sarkar, A. M.; Devenish, R. C. E.; De Roeck, A.
- arXiv
Complete Angular Distribution Measurements of Two-Body Deuteron Photodisintegration between 0.5 and 3 GeV
text, January 2004
- Mirazita, M.; collaboration, The CLAS
- arXiv
Polarization Transfer in Proton Compton Scattering at High Momentum Transfer
text, January 2004
- Hamilton, D. J.; Mamyan, V. H.; Collaboration, the Jefferson Lab Hall A.
- arXiv
Selected Topics in High Energy Semi-Exclusive Electro-Nuclear Reactions
text, January 2001
- Sargsian, Misak M.
- arXiv
Dilepton Spectra from Decays of Light Unflavored Mesons
text, January 1999
- Faessler, Amand; Fuchs, C.; Krivoruchenko, M. I.
- arXiv
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