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Interactions between heavy mesons and Goldstone bosons from chiral dynamics

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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.

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References

  1. ETM Collaboration (Ph. Boucaud), Phys. Lett. B 650, 304 (2007) (arXiv:hep-lat/0701012)

  2. M. Lüscher, Commun. Math. Phys. 105, 153 (1986).

    Google Scholar 

  3. M. Lüscher, Nucl. Phys. B 354, 531 (1991).

    Google Scholar 

  4. S.R. Beane, K. Orginos, M.J. Savage, Int. J. Mod. Phys. E 17, 1157 (2008) (arXiv:0805.4629 [hep-lat]).

  5. L. Liu, H.W. Lin, K. Orginos, arXiv:0810.5412 [hep-lat].

  6. E. van Beveren, G. Rupp, Phys. Rev. Lett. 91, 012003 (2003) (arXiv:hep-ph/0305035).

    Google Scholar 

  7. E.E. Kolomeitsev, M.F.M. Lutz, Phys. Lett. B 582, 39 (2004) (arXiv:hep-ph/0307133).

  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. D. Gamermann, E. Oset, D. Strottman, M.J. Vicente Vacas, Phys. Rev. D 76, 074016 (2007) (arXiv:hep-ph/0612179).

  10. L. Tolos, D. Cabrera, D. Gamermann, T. Mizutani, R. Molina, E. Oset, A. Ramos, arXiv:0812.1460 [hep-ph].

  11. J.M. Flynn, J. Nieves, Phys. Rev. D 75, 074024 (2007) (arXiv:hep-ph/0703047).

  12. G. Burdman, J.F. Donoghue, Phys. Lett. B 280, 287 (1992).

    Google Scholar 

  13. M.B. Wise, Phys. Rev. D 45, 2188 (1992).

    Google Scholar 

  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. F.K. Guo, C. Hanhart, S. Krewald, U.G. Meißner, Phys. Lett. B 666, 251 (2008) (arXiv:0806.3374 [hep-ph]).

  16. A.V. Manohar, arXiv:hep-ph/9802419.

  17. M.F.M. Lutz, M. Soyeur, Nucl. Phys. A 813, 14 (2008) (arXiv:0710.1545 [hep-ph]).

  18. Particle Data Group (C. Amsler), Phys. Lett. B 667, 1 (2008).

    Google Scholar 

  19. J.A. Oller, U.-G. Meißner, Phys. Lett. B 500, 263 (2001) (arXiv:hep-ph/0011146).

  20. J.A. Oller, E. Oset, A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000) (arXiv:hep-ph/0002193).

    Google Scholar 

  21. J.A. Oller, E. Oset, Phys. Rev. D 60, 074023 (1999) (arXiv:hep-ph/9809337).

  22. J.R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Publications, New York, 2006).

  23. K.W. McVoy, Nucl. Phys. A 115, 481 (1968).

    Google Scholar 

  24. C. Hanhart, J.R. Peláez, G. Ríos, Phys. Rev. Lett. 100, 152001 (2008) (arXiv:0801.2871 [hep-ph]).

    Google Scholar 

  25. E. van Beveren, AIP Conf. Proc. 660, 353 (2003) (arXiv:hep-ph/0211411)

  26. S. Weinberg, Phys. Rev. 137, B672 (1965)

  27. Private communications with Liuming Liu and Kostas Orginos.

  28. A. Walker-Loud, arXiv:0806.4549 [hep-lat].

  29. E.E. Jenkins, Nucl. Phys. B 412, 181 (1994) (arXiv:hep-ph/9212295).

    Google Scholar 

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Correspondence to F. -K. Guo.

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Guo, F.K., Hanhart, C. & Meißner, U.G. Interactions between heavy mesons and Goldstone bosons from chiral dynamics. Eur. Phys. J. A 40, 171–179 (2009). https://doi.org/10.1140/epja/i2009-10762-1

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  • DOI: https://doi.org/10.1140/epja/i2009-10762-1

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