Skip to main content
Log in

Radiative decays of radially excited pseudoscalar mesons in the extended Nambu-Jona-Lasinio model

  • Physics of Elementary Particles and Atomic Nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

In the extended NJL model the radiative decay widths of the radially excited states of the pseudo-scalar π, η, and η′ mesons are calculated. The predictions for the decay widths of the processes π(1300) → (ρ0, ω)γ, η(1295) → (ρ0, ω, φ)γ, and η(1475) → (ρ0, ω, φ)γ are given. Nowadays, there are no solid experimental data for these processes. The comparison of the results obtained in the framework of the standard and the extended NJL models for decays of the ground states of mesons is given. It is shown that these calculations correspond to each other and are also in satisfactory agreement with experimental data. This allows one to expect that the extended NJL can give reliable predictions for the excited states of mesons.

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. M. K. Volkov, “Low-energy meson physics in the quark model of superconductivity type (in Russian),” Sov. J. Part. Nucl. 17, 186 (1986).

    Google Scholar 

  2. D. Ebert and H. Reinhardt, “Effective chiral hadron Lagrangian with anomalies and Skyrme terms from quark flavor dynamics,” Nucl. Phys. B 271, 188 (1986).

    Article  ADS  Google Scholar 

  3. U. Vogl and W. Weise, “The Nambu and Jona-Lasonio model: its implications for hadrons and nuclei,” Prog. Part. Nucl. Phys. 27, 195 (1991).

    Article  ADS  Google Scholar 

  4. S. P. Klevansky, “The Nambu-Jona-Lasinio model of quantum chromodynamics,” Rev. Mod. Phys. 64(3), 649 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  5. M. K. Volkov, “Effective chiral Lagrangians and Nambu-Jona-Lasinio model,” Sov. J. Part. Nucl. 24, 81 (1993).

    ADS  Google Scholar 

  6. D. Ebert, H. Reinhardt, and M. K. Volkov, “Effective hadron theory of QCD,” Prog. Part. Nucl. Phys. 33, 1 (1994).

    Article  ADS  Google Scholar 

  7. M. K. Volkov and A. E. Radzhabov, “The Nambu-Jona-Lasinio model and its development,” Phys. Usp. 49, 551 (2006).

    Article  ADS  Google Scholar 

  8. M. K. Volkov and C. Weiss, “A chiral Lagrangian for excited pions,” Phys. Rev. D 56, 221–229 (1997).

    Article  ADS  Google Scholar 

  9. M. K. Volkov, “Excited pseudoscalar and vector mesons in the U(3) × U(3) chiral model,” Phys. Atom. Nucl. 60(11), 2094–2103 (1997).

    ADS  Google Scholar 

  10. M. K. Volkov and V. L. Yudichev, “Radially excited scalar, pseudoscalar, and vector meson nonets in a chiral quark model,” Phys. Part. Nucl. 31(3), 282 (2000).

    Google Scholar 

  11. M. K. Volkov, D. Ebert, and M. Nagy, “Excited pions, ρ-and ω-mMesons and their decays in a chiral SU(2) × SU(2) Lagrangian,” Int. J. Mod. Phys. A 13, 5443 (1998).

    Article  ADS  Google Scholar 

  12. A. B. Arbuzov, E. A. Kuraev, and M. K. Volkov, “Processes e + e ↔ π00′)γ in the NJL model,” Eur. Phys. J. A 47, 103 (2011).

    Article  ADS  Google Scholar 

  13. A. B. Arbuzov, E. A. Kuraev, and M. K. Volkov, “Production of ωπ0 pair in electron-positron annihilation,” Phys. Rev. C 83, 048201 (2011).

    Article  ADS  Google Scholar 

  14. A. B. Arbuzov and M. K. Volkov, “Two-photon decays and photoproduction on electrons of η(550), η′(958), η(1295), η(1475) mesons,” Phys. Rev. C 84, 058201 (2011).

    Article  ADS  Google Scholar 

  15. M. K. Volkov and D. G. Kostunin, “The processes e + e → ππ(π′) in the extended NJL model,” Phys. Rev. C 86, 025502 (2012).

    Article  ADS  Google Scholar 

  16. M. K. Volkov and D. G. Kostunin, “τ → ππ0 356-1 Decay in the extended NJL model,” Phys. Part. Nucl. Lett. 10(1), 7–10 (2013).

    Article  Google Scholar 

  17. A. I. Ahmadov, D. G. Kostunin, and M. K. Volkov, “Processes of e + e → η, η′, η(1295), η(1475))γ in the extended Nambu-Jona-Lasonio model,” Phys. Rev. C 87, 045203 (2013).

    Article  ADS  Google Scholar 

  18. M. K. Volkov and V. L. Yudichev, “Radial excitations of scalar and η, η′ mesons in a chiral quark model,” Phys. Atom. Nucl. 63(10), 1835–1846 (2000).

    Article  ADS  Google Scholar 

  19. J. Beringer et al., “Review of particle physics,” Phys. Rev. D 86, 010001 (2012).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Vishneva.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vishneva, A.V., Volkov, M.K. Radiative decays of radially excited pseudoscalar mesons in the extended Nambu-Jona-Lasinio model. Phys. Part. Nuclei Lett. 11, 352–356 (2014). https://doi.org/10.1134/S154747711404027X

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S154747711404027X

Keywords

Navigation