Skip to main content
Log in

Generalized vector form factors of the pion in a chiral quark model

  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

Generalized vector form factors of the pion, related to the moments of the generalized parton distribution functions, are evaluated in the Nambu-Jona-Lasinio model with the Pauli-Villars regularization. The lowest moments (the electromagnetic and the gravitational form factors) are compared to recent lattice data, with fair agreement. Predictions for higher-order moments are also made. Relevant features of the generalized form factors in the chiral quark models are highlighted and the role of the QCD evolution for the higher-order GFFs is stressed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. X-D Ji J. Phys. G24 1181 (1998), hep-ph/9807358

    ADS  Google Scholar 

  2. A V Radyushkin (2000), hep-ph/0101225

  3. K Goeke, M V Polyakov and M Vanderhaeghen Prog. Part. Nucl. Phys. 47 401 (2001), hep-ph/0106012

    Article  ADS  Google Scholar 

  4. M Diehl Phys. Rept. 388 41 (2003), hep-ph/0307382

    Article  ADS  Google Scholar 

  5. X Ji Ann. Rev. Nucl. Part. Sci. 54 413 (2004)

    Article  ADS  Google Scholar 

  6. A V Belitsky and A V Radyushkin Phys. Rept. 418 1 (2005), hep-ph/0504030

    Article  ADS  Google Scholar 

  7. T Feldmann Eur. Phys. J. Special Topics 140 135 (2007)

    Article  ADS  Google Scholar 

  8. S Boffi and B Pasquini (2007), arXiv:0711.2625 [hep-ph]

  9. D Brommel et al, PoS LAT2005 360 (2006), hep-lat/0509133

    Google Scholar 

  10. D Brommel et al, (QCDSF) (2007), 0708.2249

  11. W Broniowski, E R Arriola and K Golec-Biernat Phys. Rev. D77 034023 (2008), 0712.1012

    Google Scholar 

  12. L Theussl, S Noguera and V Vento Eur. Phys. J. A20 483 (2004), nucl-th/0211036

    ADS  Google Scholar 

  13. M Praszalowicz and A Rostworowski Acta Phys. Polon. B34 2699 (2003), hep-ph/0302269

    ADS  Google Scholar 

  14. M Praszalowicz and A Rostworowski (2002), hep-ph/0205177

  15. B C Tiburzi and G A Miller Phys. Rev. D67 013010 (2003), hep-ph/0209178

  16. B C Tiburzi and G A Miller Phys. Rev. D67 113004 (2003), hep-ph/0212238

  17. W Broniowski and E Ruiz Arriola Phys. Lett. B574 57 (2003), hep-ph/0307198

    ADS  Google Scholar 

  18. E Ruiz Arriola Acta Phys. Polon. B33 4443 (2002), hep-ph/0210007

    ADS  Google Scholar 

  19. E Ruiz Arriola (2001), hep-ph/0107087

  20. E Ruiz Arriola and W Broniowski Phys. Rev. D67 074021 (2003), hep-ph/0301202

  21. J F Donoghue and H Leutwyler Z. Phys. C52 343 (1991)

    ADS  Google Scholar 

  22. M V Polyakov and C Weiss Phys. Rev. D60 114017 (1999), hep-ph/9902451

  23. K J Golec-Biernat and A D Martin Phys. Rev. D59 014029 (1999), hep-ph/9807497

  24. M C Birse and M. K. Banerjee Phys. Lett. B136 284 (1984)

    ADS  Google Scholar 

  25. M C Birse and M K Banerjee Phys. Rev. D31 118 (1985)

    ADS  Google Scholar 

  26. W Broniowski and M K Banerjee Phys. Lett. B158 335 (1985)

    ADS  Google Scholar 

  27. W Broniowski and M K Banerjee Phys. Rev. D34 849 (1986)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wojciech Broniówski.

Additional information

Dedicated to the memory of Manoj K. Banerjee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Broniówski, W. Generalized vector form factors of the pion in a chiral quark model. Indian J Phys 83, 649–660 (2009). https://doi.org/10.1007/s12648-009-0080-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-009-0080-5

Keywords

PACS Nos

Navigation