SpringerLink
Log in

Strong two-body decays of light mesons

  • Published:
The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

In this paper, we present results on strong two-body decay widths of light \(q\bar q\) mesons calculated in a covariant quark model. The model is based on the Bethe-Salpeter equation in its instantaneous approximation and has already been used for computing the complete meson mass spectrum and many electroweak decay observables. Our approach relies on the use of a phenomenological confinement potential with an appropriate spinorial Dirac structure and ‘t Hooft’s instanton-induced interaction as a residual force for pseudoscalar and scalar mesons. The transition matrix element for the decay of one initial meson into two final mesons is evaluated in lowest order by considering conventional decays via quark loops as well as Zweig-rule-violating instanton-induced decays generated by the six-quark vertex of ‘t Hooft’s interaction; the latter mechanism only contributes if all mesons in the decay have zero total angular momentum. We show that the interference of both decay mechanisms plays an important role in the description of the partial widths of scalar and pseudoscalar mesons.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 8, 2223 (1973).

    Article  Google Scholar 

  2. A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 9, 1415 (1974).

    Article  Google Scholar 

  3. A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 11, 1272 (1975).

    Article  Google Scholar 

  4. A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Hadron Transitions In The Quark Model (Gordon & Breach, New York, 1988) p. 311 .

  5. L. Micu, Nucl. Phys. B 10, 521 (1969).

    Article  Google Scholar 

  6. E.S. Ackleh, T. Barnes, E.S. Swanson, Phys. Rev. D 54, 6811 (1996).

    Article  Google Scholar 

  7. T. Barnes, F.E. Close, P.R. Page, E.S. Swanson, Phys. Rev. D 55 4157 (1997).

    Google Scholar 

  8. R. Bonnaz, B. Silvestre-Brac, Few-Body Syst. 30, 223 (2001).

    Article  Google Scholar 

  9. J. Resag, C.R. Münz, B.C. Metsch, H.R. Petry, Nucl. Phys. A 578, 397 (1994).

    Article  Google Scholar 

  10. J. Resag, C.R. Münz, B.C. Metsch, H.R. Petry, Nucl. Phys. A 578, 418 (1994).

    Article  Google Scholar 

  11. M. Koll, R. Ricken, D. Merten, B.C. Metsch, H.R. Petry, Eur. Phys. J. A 9, 73 (2000).

    Google Scholar 

  12. R. Ricken, M. Koll, D. Merten, B.C. Metsch, H.R. Petry, Eur. Phys. J. A 9, 221 (2000).

    Article  Google Scholar 

  13. C. Ritter, B.C. Metsch, C.R. Münz, H.R. Petry, Phys. Lett. B 380, 431 (1996).

    Article  Google Scholar 

  14. Particle Data Group (D.E. Groom ), Eur. Phys. J. C 15, 1 (2000).

    Google Scholar 

  15. Crystal Barrel Collaboration (A. Abele ), Eur. Phys. J. C 21, 261 (2001).

    Article  Google Scholar 

  16. J.-S. Suh, Untersuchung des E-Mesons in der Proton-Antiproton-Vernichtung in Ruhe, Doctoral Thesis, University of Bonn, 1999.

  17. WA102 Collaboration (D. Barberis ), Phys. Lett. B 471, 440 (2000).

    Article  Google Scholar 

  18. D.V. Bugg, B.S. Zou, A.V. Sarantsev, Nucl. Phys. B 471, 59 (1996).

    Article  Google Scholar 

  19. CB@LEAR Collaboration (J. Reinnarth ), The investigation of the E-meson in the reaction \(\bar pp\to\pi^+\pi^-\pi^+\pi^-\eta\), manuscript (in preparation), University of Bonn, 2002.

  20. G. ‘t Hooft, Phys. Rev. D 14, 3432 (1976)

    Article  Google Scholar 

  21. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 163, 46 (1980).

    Article  Google Scholar 

  22. H.R. Petry, H. Hofestadt, S. Merk, K. Bleuler, H. Bohr, K.S. Narain, Phys. Lett. B 159, 363 (1985).

    Article  Google Scholar 

  23. E.E. Salpeter, H.A. Bethe, Phys. Rev. 84, 1232 (1951).

    Article  MathSciNet  MATH  Google Scholar 

  24. E.E. Salpeter, Phys. Rev. 87, 328 (1952).

    Article  MATH  Google Scholar 

  25. S. Mandelstam, Proc. R. Soc. London 233, 248 (1955).

    MathSciNet  MATH  Google Scholar 

  26. W.H. Blask, U. Bohn, M.G. Huber, B.C. Metsch, H.R. Petry, Z. Phys. A 337, 327 (1990).

    Google Scholar 

  27. B.Ch. Metsch, Instanton-Induzierte Quarkkräfte und Hadronspektroskopie, Habilitation Thesis, University of Bonn, 1993.

  28. U. Löring, K. Kretzschmar, B.C. Metsch, H.R. Petry, Eur. Phys. J. A 10, 309 (2001).

    Article  Google Scholar 

  29. U. Löring, B.C. Metsch, H.R. Petry, Eur. Phys. J. A 10, 395 (2001).

    Article  Google Scholar 

  30. U. Löring, B.C. Metsch, H.R. Petry, Eur. Phys. J. A 10, 447 (2001).

    Article  Google Scholar 

  31. C. Ritter, Instantoninduzierte Zerfälle skalarer und pseudoskalarer Mesonen, Diploma Thesis, ITKP, University of Bonn, Germany (1996).

  32. D. Jarecke, P. Maris, P.C. Tandy, nucl-th/0208019.

  33. T. Barnes, N. Black, P.R. Page, nucl-th/0208072.

  34. V.V. Anisovich, The lightest scalar glueball: Retrospective view and the current state of the problem, prepared for the 7th International Conference on Hadron Spectroscopy (Hadron 97), Upton, NY, 25-30 Aug 1997

  35. M. Koll, Electroweak Processes with Light Mesons in a Relativistic Quark Model, Doctoral Thesis, ITKP, University of Bonn, Germany (2001) (see also http://www.itkp.uni-bonn.de/~koll).

  36. C. Amsler, F.E. Close, Phys. Rev. D 53, 295 (1996).

    Article  Google Scholar 

  37. C. Amsler, F.E. Close, Phys. Lett. B 353, 385 (1995).

    Article  Google Scholar 

  38. V.V. Anisovich, Phys. Lett. B 364, 195 (1995).

    Article  Google Scholar 

  39. V.V. Anisovich, hep-ph/0208123.

  40. V.V. Anisovich, A.V. Sarantsev, hep-ph/02004328.

  41. J.S. Suh (Crystal Barrel Collaboration), Nucl. Phys. A 675, 100c (2000).

    Article  Google Scholar 

  42. J.S. Suh (Crystal Barrel Collaboration), Nucl. Phys. A 675, 104c (2000).

    Article  Google Scholar 

  43. R. Ricken, Properties of Light Mesons in a Relativistic Quark Model, Doctoral Thesis, ITKP, University of Bonn, Germany (2001).

Download references

Author information

Authors and Affiliations

  1. Helmholtz-Insitut für Strahlen- und Kernphysik, Nußallee 14-16, D-53115, Bonn, Germany

    R. Ricken, M. Koll & D. Merten

Authors
  1. R. Ricken
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Koll
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Merten
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Merten.

Additional information

Communicated by V.V. Anisovich

Received: 3 March 2003, Revised: 26 May 2003, Published online: 2 December 2003

PACS:

11.10.St Bound and unstable states; Bethe-Salpeter equations - 12.39.Ki Relativistic quark model - 13.25.-k Hadronic decays of mesons

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ricken, R., Koll, M. & Merten, D. Strong two-body decays of light mesons. Eur. Phys. J. A 18, 667–689 (2003). https://doi.org/10.1140/epja/i2003-10067-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2003-10067-5

Keywords

Search

Navigation