Skip to main content
SpringerLink
Log in

Towards resolution of the scalar meson nonet enigma

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

By the application of a linear mass spectrum to a composite system of both the pseudoscalar and scalar meson nonets, we find three relations for the masses of the scalar states which suggest the\(q\bar q\) assignment for the scalar meson nonet a0(1320), K *0 (1430), f0(1500), and f0 ′(980).

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. Particle Data Group,Phys. Rev. D 54, 1 (1996).

    Article  Google Scholar 

  2. C. Amsleret al., Phys. Lett. B 333, 277 (1994).

    Article  ADS  Google Scholar 

  3. M. Boutemeur, inProceedings, 3rd International Conference on Hadron Spectroscopy, “Hadron 89” Ajaccio, France, 1989; F. Binon,et al., eds. (Editions Frontieres, Gif-sur-Yvette),C29, 119 (1990).

    Google Scholar 

  4. Particle Data Group,Phys. Rev D 50, 1173 (1994).

    Article  Google Scholar 

  5. S. Abatziset al. Phys. Lett. B 324, 509 (1994).

    Article  ADS  Google Scholar 

  6. D. V. Bugg,et al. Phys. Lett. B 353, 378 (1995).

    Article  ADS  Google Scholar 

  7. J. Weinstein and N. Isgur,Phys. Rev. D 41, 2236 (1990); G. Janssen, B. C. Pierce, K. Holinde, and J. Speth, KFA-Jülich preprint KFA-IKP-TH-1994-40; nucl-th/9411021.

    Article  ADS  Google Scholar 

  8. D. Morgan and M. R. Pennington,Phys. Rev. D 48, 1185, 5422 (1993).

    Article  ADS  Google Scholar 

  9. N. A. Törnqvist,Z. Phys. C 68, 647 (1995).

    Article  ADS  Google Scholar 

  10. B. S. Zou and D. V. Bugg,Phys. Rev. D 48, R3948 (1993).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. E. Klempt, B. C. Metsch, C. R. Münz and H. R. Petry,Phys. Lett. B 361, 160 (1995).

    Article  ADS  Google Scholar 

  13. C. Ritter, B. C. Metsch, C. R. Münz, and H. R. Petry, University of Bonn preprint Bonn TK-96-03; hep-ph/9601246.

  14. V. Dmitrasinovic,Phys. Rev. C 53, 1383 (1996).

    Article  ADS  Google Scholar 

  15. L. Burakovsky and L. P. Horwitz, “Mass spectrum of a meson nonet is linear,”Found. Phys. Lett., in press, “Mass spectrum of a baryon octet is linear,”Found. Phys. Lett., in press; “Hadronic resonance spectrum may help in resolution of meson nonet enigmas,”Nucl Phys. A, in press.

  16. L. Burakovsky, L. P., Horwitz, and W. C. Schieve, “Hadronic resonance spectrum: power vs. exponential law. Experimental evidence,” to be published.

  17. E. V. Shuryak,The QCD Vacuum, Hadrons and the Superdense Matter (World Scientific, Singapore, 1988).

    Google Scholar 

  18. C. R. Alcock, G. P. Fuller and G. J. Mathews,Astrophys. J. 320, 439 (1987). H. Bebie P. Gerber, J. L. Goity, and H. Leutwyler,Nucl. Phys. B 378, 95 (1992).

    Article  ADS  Google Scholar 

  19. S. Z. Belenky and L. D. Landau,Sov Phys. Uspekhi 56, 309 (1955);Nuovo Cimento Suppl.3, 15 (1956).

    Google Scholar 

  20. R. Hagedorn,Nuovo Cimento 35, 216 (1965);Nuovo Cimento Suppl. 6, 169, 311 (1968).

    Article  Google Scholar 

  21. S. Frautschi,Phys. Res. D 3, 2821 (1971).

    Article  ADS  Google Scholar 

  22. S. Fubini and G. Veneziano,Nuovo Cimento A 64, 811 (1969).

    ADS  Google Scholar 

  23. G. N. Fowler and R. M. Weiner,Phys. Lett. B 89, 394 (1980).

    Article  ADS  Google Scholar 

  24. L. P. Horwitz and C. Piron,Helv. Phys. Acta 46, 316 (1973); I. P. Horwitz, W. C. Schieve, and C. Piron,Ann. Phys. (N. Y.) 137, 306 (1981). L. P. Horwitz, S. Shashoua, and W. C. Schieve,Physica A 161, 300 (1989). L. Burakovsky, “Manifestly covariant relativistic statistical mechanics as a framework for description of realistic physical Systems,” Ph.D. thesis (Tel-Aviv University, 1995), unpublished. L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Mass-proper time uncertainty relation in a manifestly covariant relativistic statistical mechanics,” to be published.

    Google Scholar 

  25. L. Burakovsky, L. P. Horwitz and W. C. Schieve,Phys. Rev. D 54, 4029 (1996).

    Article  ADS  Google Scholar 

  26. H. A. Haber and H. E. Weldon,Phys. Rev. D 25, 502 (1982).

    Article  ADS  Google Scholar 

  27. S. Okubo,Prog. Theor. Phys. 27, 949 (1962);28, 24 (1962). M. Gell-Mann and Y. Ne’eman,The Eightfold Way (Benjamin, New York, 1964).

    Article  ADS  MATH  Google Scholar 

  28. O. V. Zhirov and E. V. Shuryak,Sov. J. Nucl. Phys. 21, 443 (1975).

    Google Scholar 

  29. D. H. Perkins,Introduction to High Energy Physics, 3rd eds., (Addison-Wesley, Reading, Massachusetts, 1987), Sec. 5.6.

    Google Scholar 

  30. J. J. Sakurai,Currents and Mesons, (University of Chicago Press, Chicago, 1969).

    Google Scholar 

  31. S. Oneda and K. Terasaki,Prog. Theor. Phys. Suppl. 82, 1 (1985).

    ADS  Google Scholar 

  32. G. t’ Hooft,Phys. Rev. D 14, 3432 (1976).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

  35. L. Burakovsky and L. P. Horwitz, “On the Thermodynamics of Hot Hadronic Matter,”Nucl. Phys. A, in press.

  36. D. Aldeet al., Z. Phys. C 66, 375 (1995).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretical Division, T-8, Los Alamos National Laboratory, 87545, Los Alamos, New Mexico

    L. Burakovsky

Authors
  1. L. Burakovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burakovsky, L. Towards resolution of the scalar meson nonet enigma. Found Phys 27, 315–330 (1997). https://doi.org/10.1007/BF02550457

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02550457

Keywords

Search

Navigation