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The European Physical Journal A

, Volume 40, Issue 2, pp 171–179 | Cite as

Interactions between heavy mesons and Goldstone bosons from chiral dynamics

  • F. -K. Guo
  • C. Hanhart
  • U. -G. Meißner
Regular Article - Theoretical Physics

Abstract

We calculate the S -wave scattering lengths for charmed mesons scattering off Goldstone bosons and explore their quark mass dependence using the chiral perturbation theory up to next-to-leading order as well as a unitarized version of it. The quark mass dependence of all scattering lengths determined in a recent lattice calculation can be reproduced by the unitarized version. We also discuss signals of possible bound states in these observables.

PACS

12.39.Fe Chiral Lagrangians 13.75.Lb Meson-meson interactions 14.40.Lb Charmed mesons 

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References

  1. 1.
    ETM Collaboration (Ph. Boucaud), Phys. Lett. B 650, 304 (2007) (arXiv:hep-lat/0701012)Google Scholar
  2. 2.
    M. Lüscher, Commun. Math. Phys. 105, 153 (1986).Google Scholar
  3. 3.
    M. Lüscher, Nucl. Phys. B 354, 531 (1991).Google Scholar
  4. 4.
    S.R. Beane, K. Orginos, M.J. Savage, Int. J. Mod. Phys. E 17, 1157 (2008) (arXiv:0805.4629 [hep-lat]).Google Scholar
  5. 5.
    L. Liu, H.W. Lin, K. Orginos, arXiv:0810.5412 [hep-lat].Google Scholar
  6. 6.
    E. van Beveren, G. Rupp, Phys. Rev. Lett. 91, 012003 (2003) (arXiv:hep-ph/0305035).Google Scholar
  7. 7.
    E.E. Kolomeitsev, M.F.M. Lutz, Phys. Lett. B 582, 39 (2004) (arXiv:hep-ph/0307133).Google Scholar
  8. 8.
    F.K. Guo, P.N. Shen, H.C. Chiang, R.G. Ping, Phys. Lett. B 641, 278 (2006) (arXiv:hep-ph/0603072).Google Scholar
  9. 9.
    D. Gamermann, E. Oset, D. Strottman, M.J. Vicente Vacas, Phys. Rev. D 76, 074016 (2007) (arXiv:hep-ph/0612179).Google Scholar
  10. 10.
    L. Tolos, D. Cabrera, D. Gamermann, T. Mizutani, R. Molina, E. Oset, A. Ramos, arXiv:0812.1460 [hep-ph].Google Scholar
  11. 11.
    J.M. Flynn, J. Nieves, Phys. Rev. D 75, 074024 (2007) (arXiv:hep-ph/0703047).Google Scholar
  12. 12.
    G. Burdman, J.F. Donoghue, Phys. Lett. B 280, 287 (1992).Google Scholar
  13. 13.
    M.B. Wise, Phys. Rev. D 45, 2188 (1992).Google Scholar
  14. 14.
    T.M. Yan, H.Y. Cheng, C.Y. Cheung, G.L. Lin, Y.C. Lin, H.L. Yu, Phys. Rev. D 46, 1148 (1992)Google Scholar
  15. 15.
    F.K. Guo, C. Hanhart, S. Krewald, U.G. Meißner, Phys. Lett. B 666, 251 (2008) (arXiv:0806.3374 [hep-ph]).Google Scholar
  16. 16.
    A.V. Manohar, arXiv:hep-ph/9802419.Google Scholar
  17. 17.
    M.F.M. Lutz, M. Soyeur, Nucl. Phys. A 813, 14 (2008) (arXiv:0710.1545 [hep-ph]).Google Scholar
  18. 18.
    Particle Data Group (C. Amsler), Phys. Lett. B 667, 1 (2008).Google Scholar
  19. 19.
    J.A. Oller, U.-G. Meißner, Phys. Lett. B 500, 263 (2001) (arXiv:hep-ph/0011146).Google Scholar
  20. 20.
    J.A. Oller, E. Oset, A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000) (arXiv:hep-ph/0002193).Google Scholar
  21. 21.
    J.A. Oller, E. Oset, Phys. Rev. D 60, 074023 (1999) (arXiv:hep-ph/9809337).Google Scholar
  22. 22.
    J.R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Publications, New York, 2006).Google Scholar
  23. 23.
    K.W. McVoy, Nucl. Phys. A 115, 481 (1968).Google Scholar
  24. 24.
    C. Hanhart, J.R. Peláez, G. Ríos, Phys. Rev. Lett. 100, 152001 (2008) (arXiv:0801.2871 [hep-ph]).Google Scholar
  25. 25.
    E. van Beveren, AIP Conf. Proc. 660, 353 (2003) (arXiv:hep-ph/0211411)Google Scholar
  26. 26.
    S. Weinberg, Phys. Rev. 137, B672 (1965)Google Scholar
  27. 27.
    Private communications with Liuming Liu and Kostas Orginos.Google Scholar
  28. 28.
    A. Walker-Loud, arXiv:0806.4549 [hep-lat].Google Scholar
  29. 29.
    E.E. Jenkins, Nucl. Phys. B 412, 181 (1994) (arXiv:hep-ph/9212295).Google Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Institut für Kernphysik and Jülich Center for Hadron PhysicsForschungszentrum JülichJülichGermany
  2. 2.Institute for Advanced SimulationsForschungszentrum JülichJülichGermany
  3. 3.Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical PhysicsUniversität BonnBonnGermany

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