Advertisement

Hybrid mesons with auxiliary fields

  • F. Buisseret
  • V. MathieuEmail author
Hadron Physics

Abstract.

Hybrid mesons are exotic mesons in which the color field is not in the ground state. Their understanding deserves interest from a theoretical point of view, because it is intimately related to nonperturbative aspects of QCD. Moreover, it seems that some recently detected particles, such as the π1(1600) and the Y(4260), are serious hybrid candidates. In this work, we investigate the description of such exotic hadrons by applying the auxiliary fields technique (also known as the einbein field method) to the widely used spinless Salpeter Hamiltonian with appropriate linear confinement. Instead of the usual numerical resolution, this technique allows to find simplified analytical mass spectra and wave functions of the Hamiltonian, which still lead to reliable qualitative predictions. We analyse and compare two different descriptions of hybrid mesons, namely a two-body q¯ system with an excited flux tube, or a three-body q¯g system. We also compute the masses of the 1-+ hybrids. Our results are shown to be in satisfactory agreement with lattice QCD and other effective models.

PACS.

12.39.Mk Glueball and nonstandard multi-quark/gluon states 12.39.Ki Relativistic quark model 12.39.Pn Potential models 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    C. Mc Neile, Nucl. Phys. A 711, 303 (2002) [hep-lat/0207001] and references therein.CrossRefADSGoogle Scholar
  2. 2.
    Y. Liu, X.-Q. Luo, Phys. Rev. D 73, 054510 (2006) [hep-lat/0511015] and references therein.CrossRefADSGoogle Scholar
  3. 3.
    G.S. Adams, Phys. Rev. Lett. 81, 5760 (1998)CrossRefADSGoogle Scholar
  4. 4.
    BABAR Collaboration (B. Aubert), Phys. Rev. Lett. 95, 142001 (2005) [hep-ex/0506081].CrossRefADSGoogle Scholar
  5. 5.
    F.E. Close, P.R. Page, Phys. Lett. B 628, 215 (2005) [hep-ph/0507199].ADSGoogle Scholar
  6. 6.
    N. Isgur, J. Paton, Phys. Lett. B 124, 247 (1983)CrossRefADSGoogle Scholar
  7. 7.
    D. Horn, J. Mandula, Phys. Rev. D 17, 898 (1978)CrossRefADSGoogle Scholar
  8. 8.
    T. Barnes, F.E. Close, Phys. Lett. B 116, 365 (1982).CrossRefADSGoogle Scholar
  9. 9.
    D. LaCourse, M.G. Olsson, Phys. Rev. D 39, 2751 (1989).CrossRefADSGoogle Scholar
  10. 10.
    M.G. Olsson, S. Veseli, Phys. Rev. D 51, 3578 (1995).CrossRefADSGoogle Scholar
  11. 11.
    T.J. Allen, M.G. Olsson, S. Veseli, Phys. Lett. B 434, 110 (1998) [hep-ph/9804452].CrossRefADSGoogle Scholar
  12. 12.
    M. Lüscher, K. Symanzik, P. Weisz, Nucl. Phys. B 173, 365 (1980)CrossRefADSGoogle Scholar
  13. 13.
    A.P. Szczepaniak, P. Krupinski, Phys. Rev. D 73, 034022 (2006) [hep-ph/0511083].CrossRefADSGoogle Scholar
  14. 14.
    A.P. Szczepaniak, P. Krupinski, Phys. Rev. D 73, 116002 (2006) [hep-ph/0604098].CrossRefADSGoogle Scholar
  15. 15.
    V. Mathieu, C. Semay, F. Brau, Eur. Phys. J. A 27, 225 (2006) [hep-ph/0511210].CrossRefADSGoogle Scholar
  16. 16.
    E. Abreu, P. Bicudo, hep-ph/0508281.Google Scholar
  17. 17.
    Y.S. Kalashnikova, D.S. Kuzmenko, Phys. At. Nucl. 66, 955 (2003) (Yad. Fiz. 66, 988 (2003)) [hep-ph/0203128]CrossRefGoogle Scholar
  18. 18.
    C. Semay, B. Silvestre-Brac, I.M. Narodetskii, Phys. Rev. D 69, 014003 (2004) [hep-ph/0309256].CrossRefADSGoogle Scholar
  19. 19.
    F. Buisseret, C. Semay, Phys. Rev. D 71, 034019 (2005) [hep-ph/0412361].CrossRefADSGoogle Scholar
  20. 20.
    Y.S. Kalashnikova, A.V. Nefediev, Phys. At. Nucl. 60, 1389 (1997) (Yad. Fiz. 60, 1529 (1997)) [hep-ph/9611361].Google Scholar
  21. 21.
    P.A.M. Dirac, Lectures on Quantum Mechanics (Belter Graduate School of Sciences, Yeshiva University, New York, 1964).Google Scholar
  22. 22.
    L. Brink, P. Di Vecchia, P.S. Howe, Nucl. Phys. B 118, 76 (1977).MathSciNetCrossRefADSGoogle Scholar
  23. 23.
    F. Buisseret, C. Semay, Phys. Rev. D 70, 077501 (2004) [hep-ph/0406216].CrossRefADSGoogle Scholar
  24. 24.
    V.L. Morgunov, A.V. Nefediev, Yu.A. Simonov, Phys. Lett. B 459, 653 (1999).CrossRefADSGoogle Scholar
  25. 25.
    W. Lucha, F.F. Schöberl, Phys. Rev. A 54, 3790 (1996) [hep-ph/9603429]CrossRefADSGoogle Scholar
  26. 26.
    F. Brau, J. Phys. A 32, 7691 (1999) [quant-ph/9905033].zbMATHMathSciNetCrossRefADSGoogle Scholar
  27. 27.
    W. Lucha, F.F. Schöberl, Phys. Rev. Lett. 64, 2733 (1990).zbMATHMathSciNetCrossRefADSGoogle Scholar
  28. 28.
    Yu.A. Simonov, hep-ph/0603148.Google Scholar
  29. 29.
    S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985).MathSciNetCrossRefADSGoogle Scholar
  30. 30.
    Y. Koma, E.M. Ilgenfritz, T. Suzuki, H. Toki, Phys. Rev. D 64, 014015 (2001) [hep-ph/0011165]CrossRefADSGoogle Scholar
  31. 31.
    S. Deldar, Phys. Rev. D 62, 034509 (2000) [hep-lat/9911008]CrossRefADSGoogle Scholar
  32. 32.
    K.J. Juge, J. Kuti, C.J. Morningstar, Nucl. Phys. Proc. Suppl. 63, 326 (1998) [hep-lat/9709131]CrossRefADSGoogle Scholar
  33. 33.
    K.J. Juge, J. Kuti, C. Morningstar, Phys. Rev. Lett. 90, 161601 (2003) [hep-lat/0207004].CrossRefADSGoogle Scholar
  34. 34.
    E.S. Swanson, A.P. Szczepaniak, Phys. Rev. D 59, 014035 (1999) [hep-ph/9804219].CrossRefADSGoogle Scholar
  35. 35.
    Yu.A. Simonov, Phys. Lett. B 515, 137 (2001) [hep-ph/0105141].zbMATHCrossRefADSGoogle Scholar
  36. 36.
    A.B. Kaidalov, Yu.A. Simonov, Phys. At. Nucl. 63, 1428 (2000) (Yad. Fiz. 63, 1428 (2000)) [hep-ph/9911291].CrossRefGoogle Scholar
  37. 37.
    X.Q. Luo, Y. Liu, Phys. Rev. D 74, 034502 (2006) [hep-lat/0512044].CrossRefADSGoogle Scholar
  38. 38.
    Belle Collaboration (S.K. Choi), Phys. Rev. Lett. 91, 262001 (2003) [hep-ex/0309032].CrossRefADSGoogle Scholar
  39. 39.
    A.A. Petrov, hep-ph/0602066Google Scholar
  40. 40.
    F.J. Llanes-Estrada, S.R. Cotanch, Phys. Lett. B 504, 15 (2001) [hep-ph/0008337].CrossRefADSGoogle Scholar
  41. 41.
    Particle Data Group (S. Eidelman), Phys. Lett. B 592, 1 (2004).CrossRefADSGoogle Scholar
  42. 42.
    J.N. Hedditch, Phys. Rev. D 72, 114507 (2005) [hep-lat/0509106].CrossRefADSGoogle Scholar
  43. 43.
    C. Bernard, Phys. Rev. D 68, 074505 (2003) [hep-lat/0301024].CrossRefADSGoogle Scholar
  44. 44.
    T. Manke, Phys. Rev. D 64, 097505 (2001) [hep-lat/0103015].CrossRefADSGoogle Scholar
  45. 45.
    N. Isgur, J.E. Paton, Phys. Rev. D 31, 2910 (1985).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2006

Authors and Affiliations

  1. 1.Groupe de Physique Nucléaire ThéoriqueUniversité de Mons-Hainaut, Académie universitaire Wallonie-BruxellesMonsBelgium

Personalised recommendations