Few-Body Systems

, 59:32 | Cite as

Heavy and Heavy-Light Mesons in the Covariant Spectator Theory

  • Alfred Stadler
  • Sofia Leitão
  • M. T. Peña
  • Elmar P. Biernat
Part of the following topical collections:
  1. Light Cone 2017


The masses and vertex functions of heavy and heavy-light mesons, described as quark-antiquark bound states, are calculated with the Covariant Spectator Theory (CST). We use a kernel with an adjustable mixture of Lorentz scalar, pseudoscalar, and vector linear confining interaction, together with a one-gluon-exchange kernel. A series of fits to the heavy and heavy-light meson spectrum were calculated, and we discuss what conclusions can be drawn from it, especially about the Lorentz structure of the kernel. We also apply the Brodsky–Huang–Lepage prescription to express the CST wave functions for heavy quarkonia in terms of light-front variables. They agree remarkably well with light-front wave functions obtained in the Hamiltonian basis light-front quantization approach, even in excited states.



This work was supported by Fundação para a Ciência e a Tecnologia (FCT) under Grants No. CFTP-FCT (UID/FIS/00777/2013), No. SFRH/BPD/100578/2014, and No. SFRH/BD/92637/2013.


  1. 1.
    E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, T.M. Yan, Phys. Rev. D 17, 3090 (1978). [Erratum: Phys. Rev. D 21, 313 (1980)]Google Scholar
  2. 2.
    S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)ADSCrossRefGoogle Scholar
  3. 3.
    F. Gross, Phys. Rev. 186, 1448 (1969)ADSCrossRefGoogle Scholar
  4. 4.
    A. Stadler, F. Gross, Few-Body Syst. 49, 91 (2011)ADSCrossRefGoogle Scholar
  5. 5.
    F. Gross, J. Milana, Phys. Rev. D 43, 2401 (1991)ADSCrossRefGoogle Scholar
  6. 6.
    E.P. Biernat, F. Gross, M.T. Peña, A. Stadler, Phys. Rev. D 89, 016005 (2014)ADSCrossRefGoogle Scholar
  7. 7.
    C. McNeile, C. Michael, Phys. Rev. D 74, 014508 (2006)ADSCrossRefGoogle Scholar
  8. 8.
    T. Burch, C. Gattringer, L.Y. Glozman, C. Hagen, C.B. Lang, A. Schäfer, Phys. Rev. D 73, 094505 (2006)ADSCrossRefGoogle Scholar
  9. 9.
    J.J. Dudek, R.G. Edwards, N. Mathur, D.G. Richards, Phys. Rev. D 77, 034501 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    R.A. Briceno, J.J. Dudek, R.D. Young. arXiv:1706.06223
  11. 11.
    C.J. Burden, L. Qian, C.D. Roberts, P.C. Tandy, M.J. Thomson, Phys. Rev. C 55, 2649 (1997)ADSCrossRefGoogle Scholar
  12. 12.
    P. Maris, C.D. Roberts, Phys. Rev. C 56, 3369 (1997)ADSCrossRefGoogle Scholar
  13. 13.
    C.S. Fischer, R. Alkofer, Phys. Rev. D 67, 094020 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    G. Eichmann, I.C. Cloët, R. Alkofer, A. Krassnigg, C.D. Roberts, Phys. Rev. C 79, 012202 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    T. Hilger, C. Popovici, M. Gómez-Rocha, A. Krassnigg, Phys. Rev. D 91, 034013 (2015)ADSCrossRefGoogle Scholar
  16. 16.
    G. Eichmann, H. Sanchis-Alepuz, R. Williams, R. Alkofer, C.S. Fischer, Prog. Part. Nucl. Phys. 91, 1 (2016)ADSCrossRefGoogle Scholar
  17. 17.
    Y. Li, P. Maris, X. Zhao, J.P. Vary, Phys. Lett. B 758, 118 (2016)ADSCrossRefGoogle Scholar
  18. 18.
    Y. Li, P. Maris, J.P. Vary, Phys. Rev. D 96, 016022 (2017)ADSCrossRefGoogle Scholar
  19. 19.
    S. Leitão, A. Stadler, M.T. Peña, E.P. Biernat, Phys. Rev. D 90, 096003 (2014)ADSCrossRefGoogle Scholar
  20. 20.
    E.P. Biernat, M.T. Peña, J.E. Ribeiro, A. Stadler, F. Gross, Phys. Rev. D 90, 096008 (2014)ADSCrossRefGoogle Scholar
  21. 21.
    S. Leitão, A. Stadler, M.T. Peña, E.P. Biernat, Phys. Rev. D 96, 074007 (2017)ADSCrossRefGoogle Scholar
  22. 22.
    K.A. Olive et al., Chin. Phys. C 38, 090001 (2014)ADSCrossRefGoogle Scholar
  23. 23.
    S. Leitão, A. Stadler, M. Peña, E.P. Biernat, Phys. Lett. B 764, 38 (2017)ADSCrossRefGoogle Scholar
  24. 24.
    S.J. Brodsky, T. Huang, G.P. Lepage, in Particles and Fields, ed. by A.Z. Capri, A.N. Kamal (Plenum Publishing Corporation, New York, 1983)Google Scholar
  25. 25.
    S. Leitão, Y. Li, P. Maris, M.T. Peña, A. Stadler, J.P. Vary, E.P. Biernat, Eur. Phys. J. C 77, 696 (2017)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidade de ÉvoraÉvoraPortugal
  2. 2.CFTP, Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

Personalised recommendations