Advertisement

Light meson mass dependence of the positive-parity heavy-strange mesons

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

Abstract.

We calculate the masses of the resonances \(\ensuremath D_{s0}^{\ast}(2317)\) and \(\ensuremath D_{s1}(2460)\) as well as their bottom partners as bound states of a kaon and a \(\ensuremath D^{(\ast)}\) - and \(\ensuremath B^{(\ast)}\) -meson, respectively, in unitarized chiral perturbation theory at next-to-leading order. After fixing the parameters in the \(\ensuremath D_{s0}^{\ast}(2317)\) channel, the calculated mass for the \(\ensuremath D_{s1}(2460)\) is found in excellent agreement with experiment. The masses for the analogous states with a bottom quark are predicted to be \(\ensuremath M_{B^{\ast}_{s0}}=(5696\pm 40)\) MeV and \(\ensuremath M_{B_{s1}}=(5742\pm 40)\) MeV in reasonable agreement with previous analyses. In particular, we predict \(\ensuremath M_{B_{s1}}{-}M_{B_{s0}^{\ast}}=46\pm 1\) MeV. We also explore the dependence of the states on the pion and kaon masses. We argue that the kaon mass dependence of a kaonic bound state should be almost linear with slope about unity. Such a dependence is specific to the assumed molecular nature of the states. We suggest to extract the kaon mass dependence of these states from lattice QCD calculations.

Keywords

Heavy Quark Mass Dependence Spin Symmetry Heavy Meson Quark State 
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.

References

  1. 1.
    BaBar Collaboration (B. Aubert et al.), Phys. Rev. Lett. 90, 242001 (2003) (arXiv:hep-ex/0304021)CrossRefGoogle Scholar
  2. 2.
    CLEO Collaboration (D. Besson et al.), Phys. Rev. D 68, 032002 (2003)CrossRefGoogle Scholar
  3. 3.
    S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)CrossRefADSGoogle Scholar
  4. 4.
    W.A. Bardeen, E.J. Eichten, C.T. Hill, Phys. Rev. D 68, 054024 (2003) (arXiv:hep-ph/0305049)CrossRefADSGoogle Scholar
  5. 5.
    M.A. Nowak, M. Rho, I. Zahed, Acta Phys. Pol. B 35, 2377 (2004) (arXiv:hep-ph/0307102)ADSGoogle Scholar
  6. 6.
    T. Mehen, R.P. Springer, Phys. Rev. D 72, 034006 (2005) (arXiv:hep-ph/0503134)CrossRefADSGoogle Scholar
  7. 7.
    F.-K. Guo, C. Hanhart, U.-G. Meißner, Phys. Rev. Lett. 102, 242004 (2009) (arXiv:0904.3338 [hep-ph])CrossRefADSGoogle Scholar
  8. 8.
    T. Barnes, F.E. Close, H.J. Lipkin, Phys. Rev. D 68, 054006 (2003) (arXiv:hep-ph/0305025)CrossRefADSGoogle Scholar
  9. 9.
    E. van Beveren, G. Rupp, Phys. Rev. Lett. 91, 012003 (2003) (arXiv:hep-ph/0305035)CrossRefADSGoogle Scholar
  10. 10.
    E.S. Swanson, Phys. Rep. 429, 243 (2006) (arXiv:hep-ph/0601110)CrossRefADSGoogle Scholar
  11. 11.
    S.L. Zhu, Int. J. Mod. Phys. E 17, 283 (2008) (arXiv:hep-ph/0703225)CrossRefGoogle Scholar
  12. 12.
    E.E. Kolomeitsev, M.F.M. Lutz, Phys. Lett. B 582, 39 (2004) (arXiv:hep-ph/0307133)CrossRefADSGoogle Scholar
  13. 13.
    J. Hofmann, M.F.M. Lutz, Nucl. Phys. A 733, 142 (2004) (arXiv:hep-ph/0308263)CrossRefADSGoogle Scholar
  14. 14.
    F.-K. Guo, P.N. Shen, H.C. Chiang, R.G. Ping, B.S. Zou, Phys. Lett. B 641, 278 (2006) (arXiv:hep-ph/0603072)CrossRefADSGoogle Scholar
  15. 15.
    F.-K. Guo, P.N. Shen, H.C. Chiang, Phys. Lett. B 647, 133 (2007) (arXiv:hep-ph/0610008)CrossRefADSGoogle Scholar
  16. 16.
    D. Gamermann, E. Oset, D. Strottman, M.J. Vicente Vacas, Phys. Rev. D 76, 074016 (2007) (arXiv:hep-ph/0612179)CrossRefADSGoogle Scholar
  17. 17.
    D. Gamermann, E. Oset, Eur. Phys. J. A 33, 119 (2007) (arXiv:0704.2314 [hep-ph])CrossRefADSGoogle Scholar
  18. 18.
    A. Faessler, T. Gutsche, V.E. Lyubovitskij, Y.L. Ma, Phys. Rev. D 76, 014005 (2007) (arXiv:0705.0254 [hep-ph])CrossRefADSGoogle Scholar
  19. 19.
    M.F.M. Lutz, M. Soyeur, Nucl. Phys. A 813, 14 (2008) (arXiv:0710.1545 [hep-ph])CrossRefADSGoogle Scholar
  20. 20.
    F.-K. Guo, C. Hanhart, S. Krewald, U.-G. Meißner, Phys. Lett. B 666, 251 (2008) (arXiv:0806.3374 [hep-ph])CrossRefADSGoogle Scholar
  21. 21.
    P. Colangelo, F. De Fazio, Phys. Lett. B 570, 180 (2003) (arXiv:hep-ph/0305140)CrossRefADSGoogle Scholar
  22. 22.
    F.-K. Guo, C. Hanhart, U.-G. Meißner, Eur. Phys. J. A 40, 171 (2009) (arXiv:0901.1597 [hep-ph])CrossRefADSGoogle Scholar
  23. 23.
    S. Weinberg, Phys. Rev. 137, B672 (1965)CrossRefMathSciNetADSGoogle Scholar
  24. 24.
    V. Baru, J. Haidenbauer, C. Hanhart, Yu. Kalashnikova, A.E. Kudryavtsev, Phys. Lett. B 586, 53 (2004) (arXiv:hep-ph/0308129)CrossRefADSGoogle Scholar
  25. 25.
    G. Burdman, J.F. Donoghue, Phys. Lett. B 280, 287 (1992)CrossRefADSGoogle Scholar
  26. 26.
    M.B. Wise, Phys. Rev. D 45, 2188 (1992)CrossRefADSGoogle Scholar
  27. 27.
    T.M. Yan, H.Y. Cheng, C.Y. Cheung, G.L. Lin, Y.C. Lin, H.L. Yu, Phys. Rev. D 46, 1148 (1992)CrossRefADSGoogle Scholar
  28. 28.
    A.F. Falk, H. Georgi, B. Grinstein, M.B. Wise, Nucl. Phys. B 343, 1 (1990)CrossRefADSGoogle Scholar
  29. 29.
    Particle Data Group (K. Nakamura et al.), J. Phys. G 37, 075021 (2010)CrossRefADSGoogle Scholar
  30. 30.
    J.A. Oller, U.-G. Meißner, Phys. Lett. B 500, 263 (2001) (arXiv:hep-ph/0011146)CrossRefADSGoogle Scholar
  31. 31.
    J. Gasser, M.E. Sainio, A. Svarc, Nucl. Phys. B 307, 779 (1988)CrossRefADSGoogle Scholar
  32. 32.
    Z.G. Wang, Chin. Phys. Lett. 25, 3908 (2008) (arXiv:0712.0118 [hep-ph])CrossRefADSGoogle Scholar
  33. 33.
    Z.G. Wang, Phys. Rev. D 77, 054024 (2008) (arXiv:0801.0267 [hep-ph])CrossRefADSGoogle Scholar
  34. 34.
    C. Hanhart, J.R. Pelaez, G. Rios, Phys. Rev. Lett. 100, 152001 (2008) (arXiv:0801.2871 [hep-ph])CrossRefADSGoogle Scholar
  35. 35.
    L. Liu, H.W. Lin, K. Orginos, PoS LATTICE2008, 112 (2008) (arXiv:0810.5412 [hep-lat])Google Scholar
  36. 36.
    E.E. Jenkins, Nucl. Phys. B 412, 181 (1994) (arXiv:hep-ph/9212295)CrossRefADSGoogle Scholar
  37. 37.
    C. Hanhart, Yu.S. Kalashnikova, A.E. Kudryavtsev, A.V. Nefediev, Phys. Rev. D 75, 074015 (2007) [arXiv:hep-ph/0701214]CrossRefADSGoogle Scholar
  38. 38.
    J.D. Weinstein, N. Isgur, Phys. Rev. D 41, 2236 (1990)CrossRefADSGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • M. Cleven
    • 1
    Email author
  • F. -K. Guo
    • 1
  • C. Hanhart
    • 1
    • 2
  • U. -G. Meißner
    • 1
    • 2
    • 3
  1. 1.Institut für Kernphysik and Jülich Center for Hadron PhysicsForschungszentrum JülichJülichGermany
  2. 2.Institute for Advanced SimulationForschungszentrum JülichJülichGermany
  3. 3.Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical PhysicsUniversität BonnBonnGermany

Personalised recommendations