Skip to main content
SpringerLink
Log in

Hadron Form Factors with the Boost-Corrected Wave Functions

  • ELEMENTARY PARTICLES AND FIELDS/Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Hadron form factors are calculated using the Lorentz-contracted wave functions, determined in the arbitrary dynamical scheme with the instantaneous interaction. It is shown that the large \(Q\) asymptotics of the form factors is defined by the contraction coefficient \(C_{m}(Q^{2})=\frac{m}{\sqrt{(}m^{2}+Q^{2}/4)}\), where \(m\) is the meson mass, and weakly depends on the interaction used. The resulting form factors \(F_{\pi}\) and \(F_{K}\) are obtained in good agreement with the lattice and experimental data. Important consequences for the dynamics of hadron decays and scattering are shortly discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949).

    Article  ADS  Google Scholar 

  2. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963), R. N. Faustov, Nucl. Phys. 75, 669 (1996).

    Google Scholar 

  3. R. N. Faustov, Ann. Phys. (N. Y.) 78, 176 (1973).

    Article  ADS  Google Scholar 

  4. A. L. Licht and A. Pagnamenta, Phys. Rev. D 2, 1150, 1156 (1970).

    Article  ADS  Google Scholar 

  5. M. Diehl and P. Kroll, Eur. Phys. J. C 73, 2397 (2013), M. Guidal, M. Polyakov, A. Radyushkin, and M. Vanderhagen, Phys. Rev. D 72, 054013 (2005).

    Article  Google Scholar 

  6. M. Järvinen, Phys. Rev. D 70, 065014 (2004).

    Article  ADS  Google Scholar 

  7. M. Järvinen, Phys. Rev. D 71, 085006 (2005).

    Article  ADS  Google Scholar 

  8. D. Dietrich, P. Hoyer, and M. Järvinen, Phys. Rev. D 85, 105016 (2012).

    Article  ADS  Google Scholar 

  9. Yu. A. Simonov, Phys. Rev. D 91, 065001 (2005); arXiv: 1409.4964 [hep-ph].

    Article  ADS  Google Scholar 

  10. H. G. Dosch and Yu. A. Simonov, Phys. Lett. B 205, 339 (1988);

    Article  ADS  MathSciNet  Google Scholar 

  11. Yu. A. Simonov, Phys. Rev. D 99, 056012 (2019); arXiv: 1804.08946 [hep-ph].

  12. Yu. A. Simonov, Nucl. Phys. B 307, 512 (1988);

    Article  ADS  Google Scholar 

  13. Phys. Lett. B 226, 151 (1989); 228, 413 (1989);

  14. Yu. A. Simonov and J. A. Tjon, Ann. Phys. (N. Y.) 300, 54 (2002).

    Article  ADS  Google Scholar 

  15. Yu. A. Simonov, Phys. Rev. D 90, 013013 (2014); arXiv: 1402.2162 [hep-ph].

    Article  ADS  Google Scholar 

  16. Yu. A. Simonov, Phys. Rev. D 88, 025028 (2013); arXiv: 1303.4952 [hep-ph].

    Article  ADS  Google Scholar 

  17. H. A. Lorentz, Encyclopaedie der Mathematischen Wissenschaften (Teubner, Leipzig, 1904), Band V, art. 13, 14.

  18. W. Pauli, Theory of Relativity (Pergamon Press, N. Y., 1958).

    MATH  Google Scholar 

  19. Yu. A. Simonov, Phys. Rev. D 99, 096025 (2019); arXiv: 1902.05364 [hep-ph].

  20. I. V. Danilkin, V. D. Orlovsky, and Yu. A. Simonov, Phys. Rev. D 85, 034012 (2012); arXiv:1106.1552 [hep-ph].

    Article  ADS  Google Scholar 

  21. A. M. Badalian and B. L. G. Bakker, Phys. Rev. D 100, 034010, 054036 (2019).

    Article  ADS  Google Scholar 

  22. J. Volmer et al. (Jefferson Lab. Collab.), Phys. Rev. Lett. 86, 1713 (2001).

    Article  ADS  Google Scholar 

  23. T. Horn et al. (Jefferson Lab. Collab.), Phys. Rev. Lett. 97, 192001 (2006); nucl-ex/0607005.

    Article  ADS  Google Scholar 

  24. G. M. Huber et al. (Jefferson Lab. Collab.), Phys. Rev. C 78, 045203 (2008); arXiv: 0809.3052 [nucl-ex].

    Article  ADS  Google Scholar 

  25. G. R. Farrar and D. R. Jackson, Phys. Rev. Lett. 43, 246 (1979);

    Article  ADS  Google Scholar 

  26. G. P. Lepage and S. J. Brodsky, Phys. Lett. B 87, 359 (1979);

    Article  ADS  Google Scholar 

  27. Phys. Rev. D 22, 2157 (1980);

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

    Article  ADS  Google Scholar 

  29. S. Amendolia et al. (NA7 Collab.), Phys Lett. B 178, 435 (1986).

    Article  ADS  Google Scholar 

  30. E. B. Dally, J. M. Hauptman, J. Kubic, D. H. Stork, A. B. Watson, Z. Guzik, T. S. Nigmanov, V. D. Riabtsov, E. N. Tsyganov, A. S. Vodopianov, A. Beretvas, A. Grigorian, J. C. Tompkins, T. E. Toohig, A. A. Wehmann, J. A. Poirier, Phys. Rev. Lett. 45, 232 (1980).

    Article  ADS  Google Scholar 

  31. M. Carmingnotto et al. (JLAB FPI-2 and E93-018 Collab.), Phys. Rev. C 97, 025204 (2018); arXiv: 1801.01536 [nucl-ex].

  32. J. Koponen, A. Zimermmane-Santos, C. Davies, G. P. Lepage, and A. Lytle, arXiv: 1710.07554 [hep-lat].

  33. C. T. H. Davies, J. Koponen, G. P. Lepage, A. T. Lytle, and A. C. Zimermmane-Santos, in Proceedings of the Lattice 2018; arXiv: 1902.03808 [hep-lat].

  34. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968);

    Article  ADS  Google Scholar 

  35. S. L. Glashow and S. Wienberg, Phys. Rev. Lett. 20, 224 (1968).

    Article  ADS  Google Scholar 

  36. Yu. A. Simonov, Phys. Rev. D 65, 094018 (2002), hep-ph/0201170; Phys. At. Nucl. 67, 846 (2004); hep-ph/0302090; 67, 1027 (2004); hep-ph/0305281.

  37. V. A. Nesterenko and A. V. Radyushkin, Phys. Lett. B 128, 419 (1983).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, of National Research Center Kurchatov Institute, 117259, Moscow, Russia

    Yu. A. Simonov

Authors
  1. Yu. A. Simonov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. A. Simonov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Simonov, Y.A. Hadron Form Factors with the Boost-Corrected Wave Functions. Phys. Atom. Nuclei 84, 172–178 (2021). https://doi.org/10.1134/S1063778821020150

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778821020150

Search

Navigation