Advertisement

Structures of the f 0(980), a 0(980) mesons and the strong coupling constants \(g_{f_0 K^+ K^-} , g_{a_0 K^+ K^-}\) with light-cone QCD sum rules

  • Zhi-Gang WangEmail author
  • Wei-Min Yang
  • Shao-Long Wan
theoretical physics

Abstract.

Making the assumption of explicit isospin violation arising from f 0(980)-a 0(980) mixing, we take the point of view that the scalar mesons f 0(980) and a 0(980) have both strange and non-strange quark-antiquark components and evaluate the strong coupling constants \(g_{f_0 K^+ K^-} \;\mathrm{and}\; g_{a_0 K^+ K^-}\)within the framework of the light-cone QCD sum rules approach. The large strong scalar-KK couplings through both the \(n\bar{n}\) and \(s\bar{s}\) components \(g^{\bar{n}n}_{f_0 K^ + K^-}\), \(g^{\bar{s}s}_{f_0 K^ + K^-}\), \(g^{\bar{n}n}_{a_0 K^ + K^-}\) and \(g^{\bar{s}s}_{a_0 K^ + K^-}\) will support the hadronic dressing mechanism; furthermore, in spite of the constituent structure differences between the f 0(980) and a 0(980) mesons, the strange components have larger strong coupling constants with the K + K - state than the corresponding non-strange ones, \(g_{f_0 K^ + K^-}^{\bar{s}s}\approx \sqrt{2}g_{f_0 K^ + K^-}^{\bar{n}n}\) and \(g_{a_0 K^ + K^-}^{\bar{s}s}\approx \sqrt{2} g_{a_0 K^ + K^-}^{\bar{n}n}\). From the existing controversial values, we cannot reach a general consensus on the strong coupling constants \(g_{f_0 K^+ K^-} , g_{a_0 K^+ K^-}\) and the mixing angles.

Keywords

Strong Coupling Structure Difference General Consensus Constituent Structure Strong Coupling Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Godfray, J. Napolitano, Rev. Mod. Phys. 71, 1411 (1999)CrossRefGoogle Scholar
  2. 2.
    F.E. Close, N.A. Tornqvist, J. Phys. G 28, R249 (2002)Google Scholar
  3. 3.
    R.L. Jaffe, K. Johnson, Phys. Lett. B 60, 201 (1976); R.L. Jaffe, Phys. Rev. D 15, 267, 281 (1977); D 17, 1444 (1978); N.N. Achasov, V.N. Ivanchenko, Nucl. Phys. B 315, 465 (1989); N.N. Achasov, V.V. Gubin, Phys. Rev. D 56, 4084 (1997); D 63, 094007 (2001)CrossRefGoogle Scholar
  4. 4.
    J. Weinstein, N. Isgur, Phys. Rev. Lett. 48, 659 (1982); Phys. Rev. D 27, 588 (1983); D 41, 2236 (1990); F.E. Close, N. Isgur, S. Kumana, Nucl. Phys. B 389, 513 (1993); R. Kaminski, L. Lesniak, J.P. Maillet, Phys. Rev. D 50, 3145 (1994); N.N. Achasov, V.V. Gubin, V.I. Shevchenko, Phys. Rev. D 56, 203 (1997); Yu.S. Surovtsev, D. Krupa, M. Nagy, hep-ph/0311195CrossRefGoogle Scholar
  5. 5.
    N.A. Tornqvist, Z. Phys. C 68, 647 (1995); M. Boglione, M.R. Pennington, Phys. Rev. Lett 79, 1998 (1997); N.A. Tornqvist, hep-ph/0008136; N.A. Tornqvist, A.D. Polosa, Nucl. Phys. A 692, 259 (2001); A. Deandrea, R. Gatto, G. Nardulli, A.D. Polosa, N.A. Tornqvist, Phys. Lett. B 502, 79 (2001); F. De Fazio, M.R. Pennington, Phys. Lett. B 521, 15 (2001); M. Boglione, M.R. Pennington, Phys. Rev. D 65, 114010 (2002)Google Scholar
  6. 6.
    F.E. Close, A. Kirk, Phys. Lett. B 489, 24 (2000); A. Kirk, Phys. Lett. B 489, 29 (2000)CrossRefGoogle Scholar
  7. 7.
    F.E. Close, A. Kirk, Phys. Lett. B 515, 13 (2001)CrossRefGoogle Scholar
  8. 8.
    N.N. Achasov, A. Kiselev, Phys. Lett. B 534, 83 (2002)Google Scholar
  9. 9.
    D. Black, M. Harada, J. Schechter, Phys. Rev. Lett. 88, 181603 (2002)CrossRefGoogle Scholar
  10. 10.
    O. Krehl, R. Rapp, J. Speth, Phys. Lett. B 390, 23 (1997)CrossRefGoogle Scholar
  11. 11.
    N.N. Achasov, G.N. Shestakov, Phys. Rev. Lett. 92, 182001 (2004)CrossRefGoogle Scholar
  12. 12.
    V.V. Anisovich, hep-ph/0208123; V.V. Anisovich, V.A. Nikonov, A.V. Sarantsev, Phys. Atom. Nucl. 65, 1545 (2002); Yad. Fiz. 65, 1583 (2002); V.V. Anisovich, A.V. Sarantsev, Eur. Phys. J. A 16, 229 (2003); V.V. Anisovich, V.A. Nikonov, A.V. Sarantsev, Phys. Atom. Nucl. 66, 741 (2003); Yad. Fiz. 66, 772 (2003)CrossRefGoogle Scholar
  13. 13.
    I.I. Balitsky, V.M. Braun, A.V. Kolesnichenko, Sov. J. Nucl. Phys. 44, 1028 (1986); Nucl. Phys. B 312, 509 (1989)Google Scholar
  14. 14.
    V.M. Braun, I.E. Filyanov, Z. Phys. C 44, 157 (1989)Google Scholar
  15. 15.
    V.L. Chernyak, I.R. Zhitnitsky, Nucl. Phys. B 345, 137 (1990)CrossRefGoogle Scholar
  16. 16.
    M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385, 448 (1979),CrossRefGoogle Scholar
  17. 17.
    V.M. Belyaev, V.M. Braun, A. Khodjamirian, R. Rückl, Phys. Rev. D 51, 6177 (1995)CrossRefGoogle Scholar
  18. 18.
    J. Bijnens, A. Khodjamirian, Eur. Phys. J. C 26, 67 (2002)CrossRefGoogle Scholar
  19. 19.
    P. Colangelo, F.D. Fazio, Phys. Lett. B 559, 49 (2003)CrossRefGoogle Scholar
  20. 20.
    A. Gokalp, O. Yilmaz, Phys. Rev. D 69, 074023 (2004)CrossRefGoogle Scholar
  21. 21.
    R. Rückl, hep-ph/9810338; A. Khodjamirian, R. Rückl, hep-ph/9801443; V.M. Braun, hep-ph/9810338Google Scholar
  22. 22.
    V.L. Chernyak, A.R. Zhitnitsky, Phys. Rep. 112, 173 (1984)CrossRefGoogle Scholar
  23. 23.
    V.M. Braun, I.E. Filyanov, Z. Phys. C 48, 239 (1990)Google Scholar
  24. 24.
    P. Ball, JHEP 9901, 010 (1999)Google Scholar
  25. 25.
    H. Kim, S.H. Lee, M. Oka, Prog. Theor. Phys. 109, 371 (2003)zbMATHGoogle Scholar
  26. 26.
    H.Y. Cheng, Phys. Rev. D 67, 034024 (2003)CrossRefGoogle Scholar
  27. 27.
    V.V. Anisovich, L.G. Dakhno, V.A. Nikonov, hep-ph/0302137Google Scholar
  28. 28.
    A. Aloisio et al. [KLOE Collaboration], Phys. Lett. B 537, 21 (2002)CrossRefGoogle Scholar
  29. 29.
    R.R. Akhmetshin et al. [CMD-2 Collaboration], Phys. Lett. B 462, 380 (1999); Nucl. Phys. A 675, 424C (2000)CrossRefGoogle Scholar
  30. 30.
    M.N. Achasov et al. , Phys. Lett. B 485, 349 (2000)CrossRefGoogle Scholar
  31. 31.
    D. Barberis et al. [WA102 Collaboration], Phys. Lett. B 462, 462 (1999)CrossRefGoogle Scholar
  32. 32.
    E.M. Aitala et al. [E791 Collaboration], Phys. Rev. Lett. 86, 765 (2001)CrossRefGoogle Scholar
  33. 33.
    A. Aloisio et al. , KLOE Collaboration, Phys. Lett. B 536, 209 (2002)CrossRefGoogle Scholar
  34. 34.
    N.N. Achasov, A.V. Kiselev, Phys. Rev. D 68, 014006 (2003)CrossRefGoogle Scholar
  35. 35.
    M. Napsuciale, hep-ph/9803396; J.L. Lucio Martinez, M. Napsuciale, Phys. Lett. B 454, 365 (1999)CrossRefGoogle Scholar
  36. 36.
    J.A. Oller, E. Oset, Nucl. Phys. A 620, 438 (1997); Erratum A 652, 407 (1999); J.A. Oller, E. Oset, J.R. Pelaez, Phys. Rev. Lett. 80, 3452 (1998); Phys. Rev. D 59, 074001 (1999); Erratum D 60, 099906 (1999); J.A. Oller, Nucl. Phys. A 714, 161 (2003); Nucl. Phys. A 727, 353 (2003)CrossRefGoogle Scholar
  37. 37.
    N.N. Achasov, G.N. Shestakov, hep-ph/0405129; M. Uehara, hep-ph/0404221; A.V. Anisovich, V.V. Anisovich, V.N. Markov, V.A. Nikonov, A.V. Sarantsev, hep-ph/0403123Google Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Department of PhysicsNorth China Electric Power UniversityBaodingP.R. China
  2. 2.CCAST (World Laboratory)BeijingP.R. China
  3. 3.Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiP.R. China

Personalised recommendations