Advertisement

Nucleon electromagnetic form factors from lattice QCD

  • J.D. Ashley
  • D.B. Leinweber
  • A.W. Thomas
  • R.D. Young
The structure of hadrons

Abstract.

It is imperative that lattice QCD serve to develop our understanding of hadron structure and, where possible, to guide the interpretation of experimental data. There is now a great deal of effort directed at the calculation of the electroweak form factors of the nucleon, where for example, measurements at Jefferson Laboratory have recently revealed surprising behaviour in the ratio G E /G M . While, for the present, calculations within the framework of lattice QCD are limited to relatively large quark mass, there has been considerable progress in our understanding of how to extrapolate to the chiral limit. Here we report the results of the application of these techniques to the most recent form factor data from the QCDSF Collaboration. The level of agreement with all of the form factors, for Q 2 below 1 GeV2, is already impressive.

PACS codes.

12.38.Gc - Lattice QCD calculations  11.30.Rd - Chiral symmetries 13.40.Gp - Electromagnetic form factors 14.20.Dh - Protons and neutrons 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1. A.W. Thomas and W. Weise: “The Structure Of The Nucleon,” Wiley-VCH (Berlin, 2001) pp. 389Google Scholar
  2. 2. M.K. Jones et al. (Jefferson Lab Hall A Collaboration): Phys. Rev. Lett. 84 (2000) 1398 [arXiv:nucl-ex/9910005]Google Scholar
  3. 3. H.y. Gao: Int. J. Mod. Phys. E 12 (2003) 1 [arXiv:nucl-ex/0301002]Google Scholar
  4. 4. D.B. Leinweber, R.M. Woloshyn, and T. Draper: Phys. Rev. D 43 (1991) 1659Google Scholar
  5. 5. D.B. Leinweber: Phys. Rev. D 45 (1992) 252Google Scholar
  6. 6. T. Draper, K.F. Liu, D.B. Leinweber, and R.M. Woloshyn: Nucl. Phys. A 527 (1991) 531CGoogle Scholar
  7. 7. M. Gockeler, T.R. Hemmert, R. Horsley, D. Pleiter, P.E. Rakow, A. Schafer, and G. Schierholz (QCDSF Collaboration): arXiv:hep-lat/0303019Google Scholar
  8. 8. Proceedings of the XXth Int. Symposium on Lattice Field Theory, eds. R. Edwards, J. Negele, and D. Richards: Nucl. Phys. B(Proc. Suppl.)119 (2003)Google Scholar
  9. 9. S.J. Dong, K.F. Liu, and A.G. Williams: Workshop on Future Directions in Quark Nuclear Physics, eds. A.W. Thomas and K. Tsushima (World Scientific, Singapore, 1999) p. 131.Google Scholar
  10. 10. A.W. Thomas: Nucl. Phys. B (Proc. Suppl.) 119, 50 (2003) arXiv:hep-lat/0208023Google Scholar
  11. 11. C. Bernard et al.: Nucl. Phys. B (Proc. Suppl.) 119, 170 (2003) arXiv:hep-lat/0209086Google Scholar
  12. 12. I.C. Cloet, D.B. Leinweber, and A.W. Thomas: Phys. Lett. B 563, 157 (2003) [arXiv:hep-lat/0302008]CrossRefGoogle Scholar
  13. 13. E.J. Hackett-Jones, D.B. Leinweber, and A.W. Thomas: Phys. Lett. B 489, 143 (2000) [arXiv:hep-lat/0004006]CrossRefGoogle Scholar
  14. 14. D.B. Leinweber, D.H. Lu, and A.W. Thomas: Phys. Rev. D 60, 034014 (1999) [arXiv:hep-lat/9810005]CrossRefGoogle Scholar
  15. 15. T.R. Hemmert and W. Weise: Eur. Phys. J. A 15, 487 (2002) [arXiv:hep-lat/0204005]Google Scholar
  16. 16. E.J. Hackett-Jones, D.B. Leinweber, and A.W. Thomas: Phys. Lett. B 494, 89 (2000) [arXiv:hep-lat/0008018]CrossRefGoogle Scholar
  17. 17. G.V. Dunne, A.W. Thomas, and S.V. Wright: Phys. Lett. B 531, 77 (2002) [arXiv:hep-th/0110155]MATHGoogle Scholar
  18. 18. D.B. Leinweber, A.W. Thomas, and R.D. Young: Phys. Rev. Lett. 86, 5011 (2001) [arXiv:hep-ph/0101211]CrossRefGoogle Scholar
  19. 19. D. Arndt and B.C. Tiburzi: arXiv:hep-lat/0307003Google Scholar
  20. 20. D. Arndt and M.J. Savage: Nucl. Phys. A 697, 429 (2002) [arXiv:nucl-th/0105045]Google Scholar
  21. 21. M.J. Savage: Nucl. Phys. A 700, 359 (2002) [arXiv:nucl-th/0107038] Google Scholar
  22. 22. S.R. Beane and M.J. Savage: Nucl. Phys. A 709, 319 (2002) [arXiv:hep-lat/0203003]Google Scholar
  23. 23. J.W. Chen and X.d. Ji: Phys. Lett. B 523, 107 (2001) [arXiv:hep-ph/0105197]Google Scholar
  24. 24. R.D. Young, D.B. Leinweber, and A.W. Thomas: Prog. Part. Nucl. Phys. 50, 399 (2003) [arXiv:hep-lat/0212031]CrossRefGoogle Scholar
  25. 25. A. Ali Khan et al. (CP-PACS Collaboration): Phys. Rev. D 65, 054505 (2002) [Erratum-ibid. D 67, 059901 (2003)] [arXiv:hep-lat/0105015]Google Scholar
  26. 26. D.B. Leinweber, A.W. Thomas, K. Tsushima, and S.V. Wright: Phys. Rev. D 61, 074502 (2000) [arXiv:hep-lat/9906027]CrossRefGoogle Scholar
  27. 27. D.B. Leinweber, A.W. Thomas, and R.D. Young: arXiv:hep-lat/0302020Google Scholar
  28. 28. J.F. Donoghue, B.R. Holstein, and B. Borasoy: Phys. Rev. D 59 (1999) 036002 [arXiv:hep-ph/9804281]Google Scholar
  29. 29. A.W. Thomas, J.D. Ashley, W. Detmold, D.B. Leinweber, W. Melnitchouk, and R.D. Young: Nucl. Phys. A 721, 915 (2003)CrossRefGoogle Scholar
  30. 30. V. Bernard, N. Kaiser and U.G. Meissner: Int. J. Mod. Phys. E 4, 193 (1995) [arXiv:hep-ph/9501384]Google Scholar
  31. 31. W. Detmold, D.B. Leinweber, W. Melnitchouk, A.W. Thomas, and S.V. Wright: Pramana 57, 251 (2001) [arXiv:nucl-th/0104043]Google Scholar
  32. 32. A.W. Thomas: Adv. Nucl. Phys. 13, 1 (1984)Google Scholar
  33. 33. S. Theberge and A.W. Thomas: Phys. Rev. D 25, 284 (1982)Google Scholar
  34. 34. D.H. Lu, A.W. Thomas, and A.G. Williams: Phys. Rev. C 57, 2628 (1998) [arXiv:nucl-th/9706019]CrossRefGoogle Scholar
  35. 35. M. Guagnelli, R. Sommer, and H. Wittig (ALPHA collaboration): Nucl. Phys. B 535, 389 (1998) [arXiv:hep-lat/9806005]CrossRefGoogle Scholar
  36. 36. H. Zhu et al. (E93026 Collaboration): Phys. Rev. Lett. 87, 081801 (2001) [arXiv:nucl-ex/0105001]; W. Xu et al.: Phys. Rev. Lett. 85, 2900 (2000) [arXiv:nucl-ex/0008003]; and a compilation of earlier data provided by J. Kelly, R. Madey, and A. SemenovGoogle Scholar

Copyright information

© Società Italiana di Fisica, Springer-Verlag 2004

Authors and Affiliations

  • J.D. Ashley
    • 1
  • D.B. Leinweber
    • 1
  • A.W. Thomas
    • 1
  • R.D. Young
    • 1
  1. 1.Special Research Centre for the Subatomic Structure of Matter, and Department of Physics, University of Adelaide, Adelaide SA 5005 Australia

Personalised recommendations