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Pion form factor in the range −10 GeV2s ≤ 1 GeV2

  • Fields, Particles, and Nuclei
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Abstract

Based on the field-theory-inspired approach, a new expression for the pion form factor F π is proposed. It takes into account the pseudoscalar meson loops π+π and \(K\bar K\) and the mixing of ρ(770) with heavier ρ(1450) and ρ(1700) resonances. The expression ensures correct analytical properties and describes the data in the wide range of the energy squared −10 GeV2s ≤ 1 GeV2 without introducing the phenomenological Blatt-Weisskopf range parameter R π.

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References

  1. J. J. Sakurai, Ann. Phys. (N.Y.) 11, 1 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  2. M. Gell-Mann and F. Zachariasen, Phys. Rev. 124, 953 (1961).

    Article  MathSciNet  ADS  Google Scholar 

  3. N. M. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967).

    Article  ADS  Google Scholar 

  4. J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012).

    Article  ADS  Google Scholar 

  5. G. J. Gounaris and J. J. Sakurai, Phys. Rev. Lett. 21, 244 (1968).

    Article  ADS  Google Scholar 

  6. N. N. Achasov and A. A. Kozhevnikov, Phys. Rev. D 55, 2663 (1997); arXiv:hep-ph/9609216v1.

    Article  ADS  Google Scholar 

  7. A. V. Radyushkin, Preprint JINR P2-10717 (1977); arXiv:hep-ph/0410276.

  8. A. V. Efremov and A. V. Radyushkin, Phys. Lett. B 94, 245 (1980).

    Article  ADS  Google Scholar 

  9. M. N. Achasov, K. E. Beloborodov, A. V. Berdyugin, et al., J. Exp. Theor. Phys. 101, 1053 (2005); arXiv:hep-ex/0506076v1.

    Article  ADS  Google Scholar 

  10. R. R. Akhmetshin et al. (CMD-2 Collab.), Phys. Lett. B 648, 28 (2007); arXiv:hep-ex/0610021v3.

    Article  ADS  Google Scholar 

  11. F. Ambrosino et al. (KLOE Collab.), Phys. Lett. B 700, 102 (2011); arXiv:1006.5313.

    Article  ADS  Google Scholar 

  12. B. Aubert et al. (The BABAR Collab.), Phys. Rev. Lett. 103, 231801 (2009); arXiv:0908.3589v1.

    Article  ADS  Google Scholar 

  13. S. R. Amendolia et al., Nucl. Phys. B 277, 168 (1986).

    Article  ADS  Google Scholar 

  14. C. J. Bebek et al., Phys. Rev. D 17, 1693 (1978).

    Article  ADS  Google Scholar 

  15. T. Horn et al., Phys. Rev. Lett. 97, 192001 (2006).

    Article  ADS  Google Scholar 

  16. V. Tadevosyan et al., Phys. Rev. C 75, 055205 (2007).

    Article  ADS  Google Scholar 

  17. N. N. Achasov and A. A. Kozhevnikov, Phys. Rev. D 83, 113005 (2011); arXiv:1104.4225.

    Article  ADS  Google Scholar 

  18. J. S. Schwinger, Particles, Sources and Fields, Vol. 2 (Addison-Wesley, Reading, MA, 1973).

    Google Scholar 

  19. M. Deers and K. Hikasa, Phys. Lett. B 252, 127 (1990).

    Article  ADS  Google Scholar 

  20. K. Melnikov, Int. J. Mod. Phys. A 16, 4591 (2001).

    Article  ADS  Google Scholar 

  21. A. Hoefer, J. Gluza, and F. Jegerlehner, Eur. Phys. J. C 24, 51 (2002).

    Article  ADS  Google Scholar 

  22. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Wiley, New York, London, 1952).

    MATH  Google Scholar 

  23. S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973).

    Article  ADS  Google Scholar 

  24. P. Estabrooks and A. D. Martin, Nucl. Phys. B 79, 301 (1974).

    Article  ADS  Google Scholar 

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Correspondence to N. N. Achasov.

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Achasov, N.N., Kozhevnikov, A.A. Pion form factor in the range −10 GeV2s ≤ 1 GeV2 . Jetp Lett. 96, 559–563 (2013). https://doi.org/10.1134/S0021364012210023

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  • DOI: https://doi.org/10.1134/S0021364012210023

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