Advertisement

Viewing the proton through “color” filters

  • Xiangdong Ji
The structure of hadrons
  • 33 Downloads

Abstract.

While the form factors and parton distributions provide separately the shape of the proton in coordinate and momentum spaces, a more powerful imaging of the proton structure can be obtained through quantum phase-space distributions. Here we introduce the Wigner-type quark and gluon distributions which depict a full-3D proton at every fixed Feynman momentum, like what is seen through momentum(“color”)-filters. After appropriate reductions, the phase-space distributions are related to the generalized parton distributions (GPDs) and transverse-momentum dependent parton distributions measurable in high-energy experiments.

PACS codes.

12.90.+b - proton structure 13.60.Fz - high-energy scattering 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1. E.P. Wigner: Phys. Rev. 40, 749 (1932)Google Scholar
  2. 2. M. Hillery, R.F. O’Connell, M.O. Scully, and E.P. Wigner: Phys. Rept. 106, 121 (1984); H.-W. Lee: Phys. Rept. 259, 147 (1995)CrossRefGoogle Scholar
  3. 3. X. Ji: hep-ph/0304037, to appear in Phys. Rev. Lett. (2003); A.V. Belitsky, X. Ji, and F. Yuan: hep-ph/0307383Google Scholar
  4. 4. See, e.g., J.C. Collins: Acta Phys. Polon. B 34, 3103 (2003) and references thereinGoogle Scholar
  5. 5. X. Ji: J. Phys. G 24, 1181 (1998); K. Goeke, M.V. Polyakov, M. Vanderhaeghen: Prog. Part. Nucl. Phys. 47, 401 (2001); A.V. Radyushkin: hep-ph/0101225; A.V. Belitsky, D. Müller, and A. Kirchner: Nucl. Phys. B 629, 323 (2002)Google Scholar
  6. 6. M. Burkardt: Phys. Rev. D 62, 071503 (2000); J.P. Ralston and B. Pire: Phys. Rev. D 66, 111501 (2002); A.V. Belitsky and D. Müller: Nucl. Phys. A 711, 118 (2002); M. Diehl: Eur. Phys. J. C 25, 223 (2002)Google Scholar
  7. 7. D. Yennie and M. Ravenhall: M. Levy, Rev. Mod. Phys. 29, 144 (1957)CrossRefGoogle Scholar
  8. 8. E.J. Ernst, R.G. Sachs, and K.C. Wali: Phys. Rev. 119, 1105 (1960); R.G. Sachs: Phys. Rev. 126, 2256 (1962) X. Ji and R. McKeown: Phys. Lett. B 236, 130 (1990)CrossRefGoogle Scholar
  9. 9. S.J. Brodsky, H.-C. Pauli, and S.S. Pinsky: Phys. Rept. 301, 299 (1998); M. Burkardt: Adv. Nucl. Phys. 23, 1 (1996)CrossRefGoogle Scholar
  10. 10. J.C. Collins: Phys. Lett. B 536, 43 (2002)Google Scholar
  11. 11. A.V. Belitsky, X. Ji, and F. Yuan: Nucl. Phys. B 656, 165 (2003)CrossRefzbMATHGoogle Scholar
  12. 12. X. Ji: Phys. Rev. Lett. 78, 610 (1997); Phys. Rev. D 55, 7114 (1997)Google Scholar
  13. 13. P.V. Pobylitsa: Phys. Rev. D 66, 094002 (2002)Google Scholar

Copyright information

© Società Italiana di Fisica, Springer-Verlag 2004

Authors and Affiliations

  • Xiangdong Ji
    • 1
  1. 1.Department of Physics, University of Maryland, College Park, MD 20742, USA

Personalised recommendations