Skip to main content
Log in

Low-energy processes of meson production in the extended Nambu–Jona-Lasinio model

  • The issue is devoted to the 60th anniversary of the Joint Institute for Nuclear Research
  • Published:
Physics of Particles and Nuclei Aims and scope Submit manuscript

Abstract

The processes of meson production in electron–positron collisions at low energies are characterized within the extended Nambu–Jona-Lasinio model. It is demonstrated that intermediate vector mesons (both in the ground state and in the first radially excited one) play a critical part in these processes. The obtained results are in reasonable agreement with the available experimental data. A number of theoretical predictions are made, which can be tested experimentally in the near future.

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. Ebert and M. K. Volkov, “Composite-meson model with vector dominance based on U(2) invariant fourquark interactions,” Z. Phys. C 16, 205 (1983).

    Article  ADS  Google Scholar 

  2. M. K. Volkov, “Meson Lagrangians in a superconductor quark model,” Ann. Phys. 157, 282 (1984).

    Article  ADS  Google Scholar 

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

    Google Scholar 

  4. 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 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. M. K. Volkov, “The pseudoscalar and vector excited mesons in the U(3) × U(3) chiral model,” Phys. At. Nucl. 60, 1920–1929 (1997).

    Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

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

    Article  ADS  Google Scholar 

  11. M. K. Volkov and V. L. Yudichev, “Radial excitations of scalar, η, and η’ mesons in a chiral quark model,” Phys. At. Nucl. 63, 1835 (2000).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. S. I. Dolinsky, V. P. Druzhinin, M. S. Dubrovin, et al., “Summary of experiments with the neutral detector at the e+e− storage ring VEPP-2M,” Phys. Rep. 202, 99 (1991).

    Article  ADS  Google Scholar 

  14. N. N. Achasov and A. A. Kozhevnikov, “Decays of φ-meson suppressed by OZI and G-parity. Role of mixing and of direct transitions,” Int. J. Mod. Phys. A 7, 4825 (1992).

    Article  ADS  Google Scholar 

  15. M. N. Achasov et al., “Experimental study of the e + e → π0γ process in the energy region 0.60–0. 97 GeV,” Phys. Lett. B 559, 171 (2003).

    Article  ADS  Google Scholar 

  16. M. Gronau and J. L. Rosner, “ω–φ mixing and weak annihilation in DS decays,” Phys. Rev. D 79, 074006 (2009).

    Article  ADS  Google Scholar 

  17. K. A. Olive et al., “Review of particle physics,” Chin. Phys. C 38, 090001 (2014).

    Article  ADS  Google Scholar 

  18. M. N. Achasov et al., “Experimental study of the processes e + e → ϕ ηγ, π0γ at VEPP-2M,” Eur. Phys. J. C 12, 25 (2000).

    Article  ADS  Google Scholar 

  19. D. Bisello et al., “e + e annihilation into multihadrons in the 1350–2400 MeV energy range,” Nucl. Phys. B, Proc. Suppl. 21, 111 (1991).

    Article  ADS  Google Scholar 

  20. M. N. Achasov et al., “The process e + e → ωπ0 → π0π0γ up to 1. 4 GeV,” Phys. Lett. B 486, 29 (2000).

    Article  ADS  Google Scholar 

  21. R. R. Akhmetshin et al., “Study of the process e + e → ωπ0 → π0π0γ in c. m. energy range 920–1380 MeV at CMD-2,” Phys. Lett. B 562, 173 (2003).

    Article  ADS  Google Scholar 

  22. S. B. Gerasimov and A. B. Govorkov, “Radial excitations of ρ–and π mesons and their strong decays,” Z. Phys. C 13, 43 (1982).

    Article  ADS  Google Scholar 

  23. F. E. Close, A. Donnachie, and Yu. S. Kalashnikova, “Radiative decays of excited vector mesons,” Phys. Rev. D 65, 092003 (2002).

    Article  ADS  Google Scholar 

  24. G. Li, Y. J. Zhang, and Q. Zhao, “Study of isospin violating φ excitation in e + e → ωπ0,” J. Phys. G 36, 085008 (2009).

    Article  ADS  Google Scholar 

  25. F. Ambrosino et al., “Study of the process e + e → ωπ0 in the ϕ-meson mass region with the KLOE detector,” Phys. Lett. B 669, 223 (2008).

    Article  ADS  Google Scholar 

  26. K. W. Edwards et al., “Resonant structure of τ → 3ππ0ντ and τ → ωπντ decays,” Phys. Rev. D 61, 072003 (2000).

    Article  ADS  Google Scholar 

  27. K. Kittimanapun, K. Khosonthongkee, C. Kobdaj, P. Suebka, and Y. Yan, “e + e → ωπ reaction and ρ(1450) and ρ(1700) mesons in a quark model,” Phys. Rev. C 79, 025201 (2009).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. M. K. Volkov, A. B. Arbuzov, and D. G. Kostunin, “Decay τ → πων in the extended NJL model,” Phys. Rev. D 86, 057301 (2012).

    Article  ADS  Google Scholar 

  30. M. N. Achasov et al., “A scenario for high accuracy τ mass measurement at BEPC-II,” Chin. Phys. C 36, 573 (2012).

    Article  ADS  Google Scholar 

  31. A. I. Ahmadov, E. A. Kuraev, and M. K. Volkov, “Production of π0ρ0 pair in electron-positron annihilation in the Nambu–Jona-Lasinio model,” Phys. Part. Nucl. Lett. 9, 461 (2012).

    Article  Google Scholar 

  32. M. N. Achasov et al., “Study of the e + e → ηγ process with Spherical Neutral Detector at the VEPP-2M e + e collider,” Phys. Rev. D 74, 014016 (2006).

    Article  ADS  Google Scholar 

  33. 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-Lasinio model,” Phys. Rev. C 87, 045203 (2013), Erratum, Phys. Rev. C 89, 039901 (2014).

    Article  ADS  Google Scholar 

  34. M. N. Achasov, K. I. Beloborodov, A. V. Berdyugin, et al., “Study of the process e + e → π+π in the energy region 400 < s < 1000 MeV,” J. Exp. Theor. Phys. 101, 1053 (2005).

    Article  ADS  Google Scholar 

  35. G. J. Gounaris and J. J. Sakurai, “Finite-width corrections to the vector-meson-dominance prediction for ρ→ e + e ,” Phys. Rev. Lett. 21, 244 (1968).

    Article  ADS  Google Scholar 

  36. J. H. Kühn and A. Santamaria, “τ decays to pions,” Z. Phys. C 48, 445 (1990).

    Article  Google Scholar 

  37. H. B. O’Connell, B. C. Pearce, A. W. Thomas, and A. G. Williams, “Rho–omega mixing, vector meson dominance and the pion form-factor,” Prog. Part. Nucl. Phys. 39, 201 (1997).

    Article  ADS  Google Scholar 

  38. C. A. Dominguez, J. I. Jottar, M. Loewe, and B. Willers, “Pion form factor in the Kroll–Lee–Zumino model,” Phys. Rev. D 76, 095002 (2017).

    Article  ADS  Google Scholar 

  39. F. Jegerlehner and R. Szafron, “ρ0–γ mixing in the neutral channel pion form factor (s) and its role in comparing e + e with τ spectral functions,” Eur. Phys. J. C 71, 1632 (2011).

    Article  ADS  Google Scholar 

  40. N. N. Achasov and A. A. Kozhevnikov, “Electromagnetic form factor of the pion in the field-theoryinspired approach,” Phys. Rev. D 83, 113005 (2011), Erratum, Phys. Rev. D 85, 019901 (2012).

    Article  ADS  Google Scholar 

  41. M. K. Volkov and D. G. Kostunin, “Processes e + e → ππ(π′) in the extended Nambu–Jona-Lasinio model,” Phys. Rev. C 86, 025202 (2012).

    Article  ADS  Google Scholar 

  42. A. Cordier et al., “Cross section of the reaction e + e → π+ππ0 for C. M. energies from 750 to 1100 MeV,” Nucl. Phys. B 172, 13 (1980).

    Article  ADS  Google Scholar 

  43. A. Antonelli et al., “Measurement of the reaction e + e → ηπ+π in the center of mass energy interval 1350–2400 MeV,” Phys. Lett. B 212, 133 (1988).

    Article  ADS  Google Scholar 

  44. V. P. Druzhinin et al., “Investigation of the reaction e + e → ηπ+π in the energy range up to 1. 4 GeV,” Phys. Lett. B 174, 115 (1986).

    Article  ADS  Google Scholar 

  45. R. R. Akhmetshin et al., “Study of the process e + e → π+ππ+ππ0 with the CMD-2 detector,” Phys. Lett. B 489, 125 (2000).

    Article  ADS  Google Scholar 

  46. B. Aubert et al., “The e + e → 2(π+π) π0, 2(π+π)η, K+Kπ+ππ0 and K+Kπ+πη cross sections measured with initial-state radiation,” Phys. Rev. D 76, 092005 (2007), Erratum, Phys. Rev. D 77, 119902 (2008).

    Article  ADS  Google Scholar 

  47. D. G. Dumm and P. Roig, “Resonance chiral Lagrangian analysis of τ → η(’)ππ0ντ,” Phys. Rev. D 86, 076009 (2012).

    Article  ADS  Google Scholar 

  48. L. Y. Dai, J. Portolés, and O. Shekhovtsova, “Three pseudoscalar meson production in e + e annihilation,” Phys. Rev. D 88, 056001 (2013).

    Article  ADS  Google Scholar 

  49. M. K. Volkov, A. B. Arbuzov, and D. G. Kostunin, “The e + e → η(η′)2π process in the extended Nambu–Jona-Lasinio model,” Phys. Rev. C 89, 015202 (2014).

    Article  ADS  Google Scholar 

  50. A. I. Ahmadov and M. K. Volkov, “The decay τ → (π, π′)ντ in the Nambu–Jona-Lasinio model,” Phys. Part. Nucl. Lett. 12, 744 (2015).

    Article  Google Scholar 

  51. A. I. Ahmadov, Y. L. Kalinovsky, and M. K. Volkov, “Decays of τ → ρ(770)(ρ′(1450))ντ and τ → K*(892)(K*′(1410))ντ in the extended Nambu–Jona- Lasinio model,” Int. J. Mod. Phys. A 30, 1550161 (2015).

    Article  ADS  MATH  Google Scholar 

  52. M. K. Volkov and D. G. Kostunin, “τ → ππ0ντ decay in the extended NJL model,” Phys. Part. Nucl. Lett. 10, 7 (2013).

    Article  Google Scholar 

  53. M. K. Volkov and D. G. Kostunin, “Decays ρ → ηπ and τ → η(η′)πν in the Nambu–Jona-Lasinio model,” Phys. Rev. D 86, 013005 (2012).

    Article  ADS  Google Scholar 

  54. A. V. Vishneva, M. K. Volkov, and D. G. Kostunin, “The decay τ → f1πντ in the Nambu–Jona-Lasinio model,” Eur. Phys. J. A 50, 137 (2014).

    Article  ADS  Google Scholar 

  55. Yu. P. Ivanov, A. A. Osipov, and M. K. Volkov, “The decay τ → 3πντ and characteristics of a1 meson,” Z. Phys. C 49, 563–568 (1991).

    Article  Google Scholar 

  56. Yu. P. Ivanov, A. A. Osipov, and M. K. Volkov, “Radiative decay τ → ντπγ,” Phys. Lett. B 242, 498–502 (1990).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. K. Volkov.

Additional information

Original Russian Text © M.K. Volkov, A.B. Arbuzov, 2016, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2016, Vol. 47, No. 4.

This review is dedicated to the memory of our friend and collaborator Professor Eduard Alekseevich Kuraev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Volkov, M.K., Arbuzov, A.B. Low-energy processes of meson production in the extended Nambu–Jona-Lasinio model. Phys. Part. Nuclei 47, 489–507 (2016). https://doi.org/10.1134/S1063779616040110

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063779616040110

Navigation