Skip to main content
Log in

Exclusive electroproduction of pion pairs

  • Regular Article - Hadron Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

We investigate electroproduction of pion pairs on the nucleon in the framework of QCD factorization for hard exclusive processes. We extend previous analyses by taking the hard-scattering coefficients at next-to-leading order in αs . The dynamics of the produced pion pair is described by two-pion distribution amplitudes, for which we perform a detailed theoretical and phenomenological analysis. In particular, we obtain constraints on these quantities by comparing our results with measurements of angular observables that are sensitive to the interference between two-pion production in the isoscalar and isovector channels.

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. D. Müller, D. Robaschik, B. Geyer, F.M. Dittes, J. Hořejši, Fortschr. Phys. 42, 101 (1994) hep-ph/9812448.

    Google Scholar 

  2. X.-D. Ji, Phys. Rev. Lett. 78, 610 (1997) hep-ph/9603249.

    Article  ADS  Google Scholar 

  3. A.V. Radyushkin, Phys. Lett. B 380, 417 (1996) hep-ph/9604317.

    Article  ADS  Google Scholar 

  4. M. Burkardt, Phys. Rev. D 62, 071503 (2000) hep-ph/0005108

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. M. Diehl, Phys. Rep. 388, 41 (2003) hep-ph/0307382.

    Article  ADS  Google Scholar 

  7. A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) hep-ph/0504030.

    Article  ADS  Google Scholar 

  8. HERMES Collaboration (A. Airapetian), Phys. Lett. B 599, 212 (2004) hep-ex/0406052.

    Article  ADS  Google Scholar 

  9. B. Lehmann-Dronke, P.V. Pobylitsa, M.V. Polyakov, A. Schäfer, K. Goeke, Phys. Lett. B 475, 147 (2000) hep-ph/9910310.

    Article  ADS  Google Scholar 

  10. B. Lehmann-Dronke, A. Schäfer, M.V. Polyakov, K. Goeke, Phys. Rev. D 63, 114001 (2001) hep-ph/0012108.

    Article  ADS  Google Scholar 

  11. A.V. Belitsky, D. Müller, Phys. Lett. B 513, 349 (2001) hep-ph/0105046.

    Article  ADS  Google Scholar 

  12. D.Yu. Ivanov, L. Szymanowski, G. Krasnikov, JETP Lett. 80, 226 (2004) hep-ph/0407207.

    Article  Google Scholar 

  13. M. Diehl, T. Gousset, B. Pire, O. Teryaev, Phys. Rev. Lett. 81, 1782 (1998) hep-ph/9805380.

    Article  ADS  Google Scholar 

  14. M.V. Polyakov, Nucl. Phys. B 555, 231 (1999) hep-ph/9809483.

    Article  ADS  Google Scholar 

  15. N. Kivel, L. Mankiewicz, M.V. Polyakov, Phys. Lett. B 467, 263 (1999) hep-ph/9908334.

    Article  ADS  Google Scholar 

  16. M. Diehl, T. Gousset, B. Pire, Phys. Rev. D 62, 073014 (2000) hep-ph/0003233.

    Article  ADS  Google Scholar 

  17. R.L. Sekulin, Nucl. Phys. B 56, 227 (1973).

    Article  ADS  Google Scholar 

  18. J.C. Collins, L. Frankfurt, M. Strikman, Phys. Rev. D 56, 2982 (1997) hep-ph/9611433.

    Article  ADS  Google Scholar 

  19. A. Freund, Phys. Rev. D 61, 074010 (2000) hep-ph/9903489.

    Article  ADS  Google Scholar 

  20. M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, 094017 (1999) hep-ph/9905372.

    Article  ADS  Google Scholar 

  21. S.V. Goloskokov, P. Kroll, (2006) hep-ph/0611290.

  22. M. Vänttinen, L. Mankiewicz, E. Stein, hep-ph/9810527 (1998).

  23. A.V. Belitsky, AIP Conf. Proc. 698, 607 (2004) hep-ph/0307256.

    Article  ADS  Google Scholar 

  24. A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997) hep-ph/9704207.

    Article  ADS  Google Scholar 

  25. I.V. Musatov, A.V. Radyushkin, Phys. Rev. D 61, 074027 (2000) hep-ph/9905376.

    Article  ADS  Google Scholar 

  26. M.V. Polyakov, C. Weiss, Phys. Rev. D 60, 114017 (1999) hep-ph/9902451.

    Article  ADS  Google Scholar 

  27. N. Kivel, M.V. Polyakov, M. Vanderhaeghen, Phys. Rev. D 63, 114014 (2001) hep-ph/0012136.

    Article  ADS  Google Scholar 

  28. A.D. Martin, R.G. Roberts, W.J. Stirling, R.S. Thorne, Phys. Lett. B 604, 61 (2004) hep-ph/0410230.

    Article  ADS  Google Scholar 

  29. L. Mankiewicz, G. Piller, T. Weigl, Phys. Rev. D 59, 017501 (1999) hep-ph/9712508.

    Article  ADS  Google Scholar 

  30. M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. Lett. 80, 5064 (1998).

    Article  ADS  Google Scholar 

  31. M. Burkardt, Phys. Lett. B 595, 245 (2004) hep-ph/0401159.

    Article  ADS  Google Scholar 

  32. M. Göckeler, Nucl. Phys. Proc. Suppl. 153, 146 (2006) hep-lat/0512011.

    Article  ADS  Google Scholar 

  33. R.G. Edwards, hep-lat/0610007 (2006).

  34. T. Ericson, W. Weise, Pions and Nuclei (Oxford University Press, 1988).

  35. S.J. Dong, K.F. Liu, A.G. Williams, Phys. Rev. D 58, 074504 (1998) hep-ph/9712483.

    Article  ADS  Google Scholar 

  36. V.M. Braun, P. Gornicki, L. Mankiewicz, A. Schäfer, Phys. Lett. B 302, 291 (1993).

    Article  ADS  Google Scholar 

  37. P. Ball, V.M. Braun, Phys. Rev. D 54, 2182 (1996) hep-ph/9602323.

    Article  ADS  Google Scholar 

  38. A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Rev. D 73, 056002 (2006) hep-ph/0512119.

    Article  ADS  Google Scholar 

  39. V.M. Braun, Phys. Rev. D 74, 074501 (2006) hep-lat/0606012.

    Article  ADS  Google Scholar 

  40. N. Kivel, M.V. Polyakov, hep-ph/0203264 (2002).

  41. M. Diehl, A. Manashov, A. Schäfer, Phys. Lett. B 622, 69 (2005) hep-ph/0505269.

    Article  ADS  Google Scholar 

  42. P. Hägler, B. Pire, L. Szymanowski, O.V. Teryaev, Eur. Phys. J. C 26, 261 (2002) hep-ph/0207224.

    Article  ADS  Google Scholar 

  43. R. Kamiński, J.R. Peláez, F.J. Ynduráin, Phys. Rev. D 74, 014001 (2006) hep-ph/0603170.

    Article  ADS  Google Scholar 

  44. D.V. Bugg, Eur. Phys. J. C 47, 45 (2006) hep-ex/0603023.

    Article  ADS  Google Scholar 

  45. J.F. Donoghue, J. Gasser, H. Leutwyler, Nucl. Phys. B 343, 341 (1990).

    Article  ADS  Google Scholar 

  46. B. Moussallam, Eur. Phys. J. C 14, 111 (2000) hep-ph/9909292.

    Article  ADS  Google Scholar 

  47. W. Liu, H.-Q. Zheng, X.-L. Chen, Commun. Theor. Phys. 35, 543 (2001) hep-ph/0005284.

    Google Scholar 

  48. B. Ananthanarayan, I. Caprini, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Lett. B 602, 218 (2004) hep-ph/0409222.

    Article  ADS  Google Scholar 

  49. M. Glück, E. Reya, I. Schienbein, Eur. Phys. J. C 10, 313 (1999) hep-ph/9903288.

    Article  ADS  Google Scholar 

  50. D. Melikhov, O. Nachtmann, V. Nikonov, T. Paulus, Eur. Phys. J. C 34, 345 (2004) hep-ph/0311213.

    Article  ADS  Google Scholar 

  51. S. Eidelman, L. Łukaszuk, Phys. Lett. B 582, 27 (2004) hep-ph/0311366.

    Article  ADS  Google Scholar 

  52. A. Pich, J. Portoles, Phys. Rev. D 63, 093005 (2001) hep-ph/0101194.

    Article  ADS  Google Scholar 

  53. F. Guerrero, A. Pich, Phys. Lett. B 412, 382 (1997) hep-ph/9707347.

    Article  ADS  Google Scholar 

  54. M. Diehl, A.V. Vinnikov, Phys. Lett. B 609, 286 (2005) hep-ph/0412162.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Xiangdong Ji

Rights and permissions

Reprints and permissions

About this article

Cite this article

Warkentin, N., Diehl, M., Ivanov, D.Y. et al. Exclusive electroproduction of pion pairs. Eur. Phys. J. A 32, 273–291 (2007). https://doi.org/10.1140/epja/i2007-10374-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2007-10374-9

PACS.

Navigation