Advertisement

The European Physical Journal C

, Volume 52, Issue 1, pp 177–186 | Cite as

Decuplet contribution to the meson–baryon scattering lengths

  • Yan-Rui LiuEmail author
  • Shi-Lin Zhu
Regular Article - Theoretical Physics

Abstract

We calculate decuplet contributions to the s-wave pseudoscalar meson octet–baryon scattering lengths to the third order in heavy baryon chiral perturbation theory (HBχPT). Using experimental pion–nucleon and kaon–nucleon scattering lengths as inputs, we determine low-energy constants and predict other meson–baryon scattering lengths. Numerically we consider three cases: (1) the case with only baryon octet contributions; (2) with decuplet contributions and (3) in the large Nc limit. Hopefully, the analytical expressions and the predictions are helpful to future investigations of the meson–baryon scattering lengths.

Keywords

Pseudoscalar Meson Scattering Length Baryon Masse Chiral Expansion Baryon Octet 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. Jenkins, A.V. Monohar, Phys. Lett. B 255, 558 (1991)CrossRefADSGoogle Scholar
  2. 2.
    E. Jenkins, A.V. Monohar, Phys. Lett. B 259, 353 (1991)CrossRefADSGoogle Scholar
  3. 3.
    V. Bernard, N. Kaiser, U.-G. Meissner, Int. J. Mod. Phys. E 4, 193 (1995)CrossRefADSGoogle Scholar
  4. 4.
    G. ’t Hooft, Nucl. Phys. B 72, 461 (1974)CrossRefADSGoogle Scholar
  5. 5.
    E. Witten, Nucl. Phys. B 160, 57 (1979)CrossRefADSGoogle Scholar
  6. 6.
    T.R. Hemmert, B.R. Holstein, J. Kambor, J. Phys. G 24, 1831 (1998)CrossRefADSGoogle Scholar
  7. 7.
    V. Bernard, H.W. Fearing, T.R. Hemmert, U.-G. Meissner, Nucl. Phys. A 635, 121 (1998)CrossRefADSGoogle Scholar
  8. 8.
    V. Bernard, H.W. Fearing, T.R. Hemmert, U.-G. Meissner, Nucl. Phys. A 642, 563 (1998)CrossRefADSGoogle Scholar
  9. 9.
    G.C. Gellas, T.R. Hemmert, C.N. Ktorides, G.I. Poulis, Phys. Rev. D 60, 054022 (1999)CrossRefADSGoogle Scholar
  10. 10.
    N. Fettes, U.-G. Meissner, Nucl. Phys. A 679, 629 (2001)CrossRefADSGoogle Scholar
  11. 11.
    S.J. Puglia, M.J. Ramsey-Musolf, S.-L. Zhu, Phys. Rev. D 63, 034014 (2001)CrossRefADSGoogle Scholar
  12. 12.
    S.-L. Zhu, S. Puglia, M.J. Ramsey-Musolf, Phys. Rev. D 63, 034002 (2001)CrossRefADSGoogle Scholar
  13. 13.
    S.-L. Zhu, G. Sacco, M.J. Ramsey-Musolf, Phys. Rev. D 66, 034021 (2002)CrossRefADSGoogle Scholar
  14. 14.
    G. Villadoro, Phys. Rev. D 74, 014018 (2006)CrossRefADSGoogle Scholar
  15. 15.
    V. Pascalutsa, D.R. Phillips, Phys. Rev. C 67, 055202 (2003)CrossRefADSGoogle Scholar
  16. 16.
    V. Pascalutsa, M. Vanderhaeghen, Phys. Rev. Lett. 94, 102003 (2005)CrossRefADSGoogle Scholar
  17. 17.
    V. Pascalutsa, M. Vanderhaeghen, Phys. Rev. Lett. 95, 232001 (2005)CrossRefADSGoogle Scholar
  18. 18.
    V. Bernard, N. Kaiser, U.-G. Meissner, Phys. Lett. B 309, 421 (1993)CrossRefADSGoogle Scholar
  19. 19.
    V. Bernard, Phys. Rev. C 52, 2185 (1995)CrossRefADSGoogle Scholar
  20. 20.
    N. Kaiser, Phys. Rev. C 64, 045204 (2001)CrossRefADSGoogle Scholar
  21. 21.
    Y.-R. Liu, S.-L. Zhu, Phys. Rev. D 75, 034003 (2007)CrossRefADSGoogle Scholar
  22. 22.
    J.A. Oller, M. Verbeni, J. Prades, JHEP 609, 79 (2006)CrossRefADSGoogle Scholar
  23. 23.
    M. Frink, U.-G. Meissner, Eur. Phys. J. A 29, 255 (2006)CrossRefADSGoogle Scholar
  24. 24.
    J.A. Oller, M. Verbeni, J. Prades, hep-ph/0701096Google Scholar
  25. 25.
    H.-C. Schroder et. al., Eur. Phys. J. C 21, 473 (2001)ADSGoogle Scholar
  26. 26.
    G. Beer et al., Phys. Rev. Lett. 94, 212302 (2005)CrossRefADSGoogle Scholar
  27. 27.
    A.D. Martin, Nucl. Phys. B 179, 33 (1981)CrossRefADSGoogle Scholar
  28. 28.
    Particle Data Group, W.-M. Yao et al., J. Phys. G 33, 1 (2006)CrossRefADSGoogle Scholar
  29. 29.
    V. Bernard, N. Kaiser, U.-G. Meissner, Z. Phys. C 60, 111 (1993)CrossRefGoogle Scholar
  30. 30.
    J. Gasser, H. Leutwyler, M.E. Sainio, Phys. Lett. B 253, 252 (1991)CrossRefADSGoogle Scholar
  31. 31.
    J.C. Ramon et al., Nucl. Phys. A 672, 249 (2000)CrossRefADSGoogle Scholar
  32. 32.
    E. Jenkins, Phys. Rev. D 53, 2625 (1996)CrossRefADSGoogle Scholar
  33. 33.
    Q. Haider, L.C. Liu, Phys. Lett. B 172, 257 (1986)CrossRefADSGoogle Scholar
  34. 34.
    L.C. Liu, Q. Haider, Phys. Rev. C 34, 1845 (1986)CrossRefADSGoogle Scholar
  35. 35.
    V.V. Abaev, B.M.K. Nefkens, Phys. Rev. C 53, 385 (1996)CrossRefADSGoogle Scholar
  36. 36.
    C. Garcia-Recio, J. Nieves, E.R. Arriola, M.J. Vicente Vacas, Phys. Rev. D 67, 076009 (2003)CrossRefADSGoogle Scholar
  37. 37.
    R.A. Arndt et al., Phys. Rev. C 72, 045202 (2005)CrossRefADSGoogle Scholar
  38. 38.
    T.D. Cohen, R.F. Lebed, Phys. Rev. D 74, 056006 (2006)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2007

Authors and Affiliations

  1. 1.Department of PhysicsPeking UniversityBeijingP.R. China

Personalised recommendations