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Integrating holographic vector dominance to hidden local symmetry for the nucleon form factor

Masayasu Harada

Mannque Rho

  • Department of Physics, Nagoya University, Nagoya, 464-8602, Japan

  • Institut de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cédex, France and Department of Physics, Hanyang University, Seoul 133-791, Korea

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Phys. Rev. D 83, 114040 – Published 22 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114040

Abstract

We derive a two-parameter formula for the electromagnetic form factors of the nucleon described as an instanton by “integrating out” all Kaluza-Klein modes other than the lowest mesons from the infinite tower of vector mesons in holographic QCD while preserving hidden local symmetry for the resultant vector fields. With only two parameters, the proton Sachs form factors can be fit surprisingly well to the available experimental data for momentum transfers Q2≲0.5  GeV2 with χ2/dof≲2. We interpret this agreement as indicating the importance of an infinite tower in the soliton structure of the nucleon. The prediction of the Sakai-Sugimoto holographic dual model is checked against the fit values to assess its accuracy in describing the proton structure. We find that the structure of the core of roughly 1/3 in the proton size indicated in experiments and commonly associated with an intrinsic quark-gluon structure in QCD is hidden in the infinite tower in the holographic model.

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References (34)

  1. J. J. Sakurai, Ann. Phys. (N.Y.) 11, 1 (1960).
  2. For a general overview, D. Schildknecht, Acta Phys. Pol. B 37, 595 (2006).
  3. F. Iachello, A. D. Jackson, and A. Lande, Phys. Lett. B 43, 191 (1973).
  4. G. E. Brown, M. Rho, and W. Weise, Nucl. Phys. A454, 669 (1986).
  5. F. Iachello, Eur. Phys. J. A 19, Supplement 1, 29 (2004); Fiz. B 13, 13 (2004).
  6. R. Bijker and F. Iachello, Phys. Rev. C 69, 068201 (2004).
  7. T. Sakai and S. Sugimoto, Prog. Theor. Phys. 113, 843 (2005); 114, 1083 (2005).
  8. D. K. Hong, M. Rho, H. U. Yee, and P. Yi, Phys. Rev. D 76, 061901 (2007); J. High Energy Phys. 09 (2007) 063.
  9. D. K. Hong, M. Rho, H. U. Yee, and P. Yi, Phys. Rev. D 77, 014030 (2008).
  10. K. Hashimoto, T. Sakai, and S. Sugimoto, Prog. Theor. Phys. 120, 1093 (2008).
  11. K. Y. Kim and I. Zahed, J. High Energy Phys. 09 (2008) 007.
  12. M. Bando, T. Kugo, S. Uehara, K. Yamawaki, and T. Yanagida, Phys. Rev. Lett. 54, 1215 (1985); M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).
  13. M. Harada and K. Yamawaki, Phys. Rep. 381, 1 (2003).
  14. M. Harada and C. Sasaki, Nucl. Phys. A736, 300 (2004).
  15. J. Orear, Phys. Rev. D 18, 2484 (1978); R. Petronzio, S. Vergata, S. Simula, and G. Ricco, 67, 094004 (2003); 68, 099901(E) (2004); R. B. Ferroli, S. Pacetti, and A. Zallo, arXiv:0812.3283.
  16. G. E. Brown and M. Rho, Phys. Lett. B 82, 177 (1979).
  17. M. Harada, S. Matsuzaki, and K. Yamawaki, Phys. Rev. D 74, 076004 (2006).
  18. M. Harada, S. Matsuzaki, and K. Yamawaki, in Strong Coupling Gauge Theries in LHC Era edited by H. Fukaya, M. Harada, M. Tanabashi and K. Yamawaki (World Scientific, Singapore, 2010).
  19. M. Harada, S. Matsuzaki, and K. Yamawaki, Phys. Rev. D 82, 076010 (2010).
  20. D. T. Son and M. A. Stephanov, Phys. Rev. D 69, 065020 (2004).
  21. K. Nawa, H. Suganuma, and T. Kojo, Phys. Rev. D 75, 086003 (2007).
  22. P. Sutcliffe, J. High Energy Phys. 04 (2011) 045.
  23. J. Arrington, W. Melnitchouk, and J. A. Tjon, Phys. Rev. C 76, 035205 (2007).
  24. C. B. Crawford, Phys. Rev. Lett. 98, 052301 (2007).
  25. For a recent review, see C. Alexandrou, Proc. Sci., LATTICE2010 (2010) 001 and references given therein.
  26. B. Kubis and U. G. Meissner, Nucl. Phys. A679, 698 (2001); M. R. Schindler, J. Gegelia, and S. Scherer, Eur. Phys. J. A 26, 1 (2005).
  27. C. Crawford et al., Phys. Rev. C 82, 045211 (2010).
  28. For a reiview of the earlier development, see U. G. Meissner, Phys. Rep. 161, 213 (1988).
  29. G. Holzwarth, in The Multifaceted Skyrmions edited by G. E. Brown and M. Rho (World Scientific Publication, Singapore, 2010); Z. Phys. A 356, 339 (1996).
  30. S. Nadkarni, H. B. Nielsen, and I. Zahed, Nucl. Phys. B253, 308 (1985); I. Zahed, in The Multifaceted Skyrmions edited by G. E. Brown and M. Rho (World Scientific Publication, Singapore, 2010).
  31. T. E. Coan et al. (CLEO Collaboration), Phys. Rev. Lett. 92, 232001 (2004).
  32. Z. Komargodski, J. High Energy Phys. 02 (2011) 019.
  33. See, e.g., S.-S. Lee, arXiv:1009.5127; S. Sachdev, arXiv:1012.0299.
  34. C. Sasaki, H. K. Lee, W.-G. Paeng, and M. Rho, arXiv:1103.0184.

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Phys. Rev. D 83, 114040– Published 22 June, 2011
  • Received 17 March 2011

© 2011 American Physical Society

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