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The pion form factor from lattice QCD with two dynamical flavours

  • Regular Article - Theoretical Physics
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Abstract

We compute the electromagnetic form factor of the pion, using non-perturbatively O(a) improved Wilson fermions. The calculations are done for a wide range of pion masses and lattice spacings. We check for finite size effects by repeating some of the measurements on smaller lattices. The large number of lattice parameters we use allows us to extrapolate to the physical point. For the square of the charge radius we find \(\langle{r^2}\rangle= 0.444(20)\) fm2, in good agreement with experiment.

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References

  1. QCDSF and UKQCD Collaboration, D. Brömmel et al., Proc. Sci. LAT2005, 360 (2005)

    Google Scholar 

  2. G. Martinelli, C.T. Sachrajda, Nucl. Phys. B 306, 865 (1988)

    Article  ADS  Google Scholar 

  3. T. Draper, R.M. Woloshyn, W. Wilcox, K.-F. Liu, Nucl. Phys. B 318, 319 (1989)

    Article  ADS  Google Scholar 

  4. Bern–Graz–Regensburg (BGR) Collaboration, S. Capitani, C. Gattringer, C.B. Lang, Phys. Rev. D 73, 034505 (2006)

    Article  ADS  Google Scholar 

  5. J. van der Heide, J.H. Koch, E. Laermann, Phys. Rev. D 69, 094511 (2004)

    Article  ADS  Google Scholar 

  6. A.M. Abdel-Rehim, R. Lewis, Phys. Rev. D 71, 014503 (2005)

    Article  ADS  Google Scholar 

  7. RBC Collaboration, Y. Nemoto, Nucl. Phys. Proc. Suppl. 129, 299 (2004)

    Article  ADS  Google Scholar 

  8. LHP Collaboration, F.D.R. Bonnet, R.G. Edwards, G.T. Fleming, R. Lewis, D.G. Richards, Phys. Rev. D 72, 054506 (2005)

    Article  ADS  Google Scholar 

  9. JLQCD Collaboration, S. Hashimoto et al., PoS LAT2005, 336 (2006)

    Google Scholar 

  10. S. Sint, P. Weisz, Nucl. Phys. B 502, 251 (1997)

    Article  ADS  Google Scholar 

  11. QCDSF-UKQCD Collaboration, T. Bakeyev et al., Phys. Lett. B 580, 197 (2004)

    Article  ADS  Google Scholar 

  12. S. Capitani et al., Nucl. Phys. Proc. Suppl. 73, 294 (1999)

    Article  ADS  Google Scholar 

  13. QCDSF Collaboration, M. Göckeler et al., Phys. Rev. D 71, 034508 (2005)

    Article  Google Scholar 

  14. A. Ali Khan et al., hep-lat/0603028

  15. C. Aubin et al., Phys. Rev. D 70, 094505 (2004)

    Article  ADS  Google Scholar 

  16. C. Best et al., Phys. Rev. D 56, 2743 (1997)

    Article  ADS  Google Scholar 

  17. UKQCD Collaboration, C.R. Allton et al., Phys. Rev. D 47, 5128 (1993)

    Article  ADS  Google Scholar 

  18. NA7 Collaboration, S.R. Amendolia et al., Nucl. Phys. B 277, 168 (1986)

    Article  ADS  Google Scholar 

  19. H.P. Blok, G.M. Huber, D.J. Mack, nucl-ex/0208011

  20. H. Ackermann et al., Nucl. Phys. B 137, 294 (1978)

    Article  ADS  Google Scholar 

  21. P. Brauel et al., J. Phys. C 3, 101 (1979)

    Google Scholar 

  22. Jefferson Lab Fπ Collaboration, V. Tadevosyan et al., nucl-ex/0607007

  23. Jefferson Lab Fπ-2 Collaboration, T. Horn et al., nucl-ex/0607005

  24. Jefferson Lab Fπ Collaboration, J. Volmer et al., Phys. Rev. Lett. 86, 1713 (2001)

    Article  ADS  Google Scholar 

  25. Particle Data Group Collaboration, S. Eidelman et al., Phys. Lett. B 592, 1 (2004)

    Article  ADS  Google Scholar 

  26. T.B. Bunton, F.J. Jiang, B.C. Tiburzi, Phys. Rev. D 74, 034514 (2006)

    Article  ADS  Google Scholar 

  27. J.-W. Chen, W. Detmold, B. Smigielski, hep-lat/0612027

  28. B. Borasoy, R. Lewis, Phys. Rev. D 71, 014033 (2005)

    Article  ADS  Google Scholar 

  29. M. Guagnelli, R. Sommer, Nucl. Phys. Proc. Suppl. 63, 886 (1998)

    Article  ADS  Google Scholar 

  30. M. Göckeler et al., Phys. Rev. D 73, 014513 (2006)

    Article  ADS  Google Scholar 

  31. UKQCD Collaboration, C.R. Allton et al., Phys. Rev. D 65, 054502 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theory Group, Deutsches Elektronen-Synchrotron DESY, 22603, Hamburg, Germany

    D. Brömmel, M. Diehl & G. Schierholz

  2. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    D. Brömmel, M. Göckeler & A. Schäfer

  3. Institut für Theoretische Physik T39, Physik-Department der TU München, 85747, Garching, Germany

    P. Hägler

  4. School of Physics, University of Edinburgh, Edinburgh, EH9 3JH, UK

    R. Horsley & J.M. Zanotti

  5. John von Neumann-Institut für Computing NIC/DESY, 15738, Zeuthen, Germany

    Y. Nakamura, D. Pleiter & G. Schierholz

  6. Theoretical Physics Division, Dep. of Math. Sciences, University of Liverpool, Liverpool, L69 3BX, UK

    P.E.L. Rakow

  7. Konrad-Zuse-Institut für Informationstechnik ZIB, 14195, Berlin, Germany

    H. Stüben

Authors
  1. D. Brömmel
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  2. M. Diehl
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  3. M. Göckeler
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  4. P. Hägler
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  5. R. Horsley
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  6. Y. Nakamura
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  7. D. Pleiter
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  8. P.E.L. Rakow
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  9. A. Schäfer
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  10. G. Schierholz
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  11. H. Stüben
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  12. J.M. Zanotti
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Corresponding author

Correspondence to D. Brömmel.

Additional information

PACS

12.38.Gc; 13.40.Gp; 14.40.-n

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Brömmel, D., Diehl, M., Göckeler, M. et al. The pion form factor from lattice QCD with two dynamical flavours. Eur. Phys. J. C 51, 335–345 (2007). https://doi.org/10.1140/epjc/s10052-007-0295-6

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0295-6

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