Hyperon-nucleon interactions in effective field theory

  • H. Polindera
Conference paper

Abstract

We have constructed the leading order hyperon-nucleon potential in a chiral Effective Field Theory approach. The chiral potential consists of one-pseudoscalar-meson exchanges and non-derivative four-baryon contact terms. The hyperon-nucleon interactions are derived using SU(3) symmetry, the nucleon-nucleon interaction is not considered explicitly since it can not be described well with a leading order chiral Effective Field Theory. We solve a regularized Lippmann-Schwinger equation and show that a good description of the available hyperon-nucleon scattering data is possible with five free parameters. The chiral potential can be used as further input for hypernucleus and hypernuclear matter calculations. Preliminary hypertriton calculations yielded the correct hypertriton binding energy.

PACS

13.75.Ev Hyperon-nucleon interactions 12.39.Fe Chiral Lagrangians 21.80+a Hypernuclei 21.30.-x Nuclear forces 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Weinberg, Phys. Lett. B251, 288 (1990).ADSMathSciNetGoogle Scholar
  2. 2.
    S. Weinberg, Nucl. Phys. B363, 3 (1991).CrossRefADSGoogle Scholar
  3. 3.
    P. F. Bedaque and U. van Kolck, Annu. Rev. Nucl. Part. Sci. 52, 339 (2002).CrossRefADSGoogle Scholar
  4. 4.
    E. Epelbaum, Prog. Nucl. Part. Phys. 57, 654 (2006).CrossRefADSGoogle Scholar
  5. 5.
    D. R. Entem and R. Machleidt, Phys. Rev. C68, 041001 (2003).ADSGoogle Scholar
  6. 6.
    E. Epelbaum, W. Glöckle, and U.-G. Meißner, Nucl. Phys. A747, 362 (2005).ADSGoogle Scholar
  7. 7.
    E. Epelbaoum, W. Glöckle, and U.-G. Meißner, Nucl. Phys. A637, 107 (1998).ADSGoogle Scholar
  8. 8.
    M. J. Savage and M. B. Wise, Phys. Rev. D 53, 349 (1996).CrossRefADSGoogle Scholar
  9. 9.
    H. W. Hammer, Nucl. Phys. A705, 173 (2002).ADSGoogle Scholar
  10. 10.
    S. R. Beane, P. F. Bedaque, A. Parreño, and M. J. Savage, Nucl. Phys. A747, 55 (2005).ADSGoogle Scholar
  11. 11.
    C. L. Korpa, A. E. L. Dieperink, and R. G. E. Timmermans, Phys. Rev. C 65, 015208 (2001).CrossRefADSGoogle Scholar
  12. 12.
    D. B. Kaplan, M. J. Savage, and M. B. Wise, Nucl. Phys. B534, 329 (1998).CrossRefADSGoogle Scholar
  13. 13.
    H. Polinder, J. Haidenbauer, and U.-G. Meißner, Nucl. Phys. A779, 244 (2006).ADSGoogle Scholar
  14. 14.
    J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields, McGraw-Hill Inc., New York, 1965. We follow the conventions of this reference.MATHGoogle Scholar
  15. 15.
    E. Epelbaoum, W. Glöckle, and U.-G. Meißner, Nucl. Phys. A671, 295 (2000).ADSGoogle Scholar
  16. 16.
    T. A. Rijken, V. G. J. Stoks, and Y. Yamamoto, Phys. Rev. C 59, 21 (1999).CrossRefADSGoogle Scholar
  17. 17.
    C. M. Vincent and S. C. Phatak, Phys. Rev. C 10, 391 (1974).CrossRefADSGoogle Scholar
  18. 18.
    M. Walzl, U.-G. Meißner, and E. Epelbaum, Nucl. Phys. A693, 663 (2001).ADSGoogle Scholar
  19. 19.
    F. Eisele, H. Filthuth, W. Fölisch, V. Hepp, and G. Zech, Phys. Lett 37B, 204 (1971).ADSGoogle Scholar
  20. 20.
    B. Sechi-Zorn, B. Kehoe, J. Twitty, and R. A. Burnstein, Phys. Rev. 175, 1735 (1968).CrossRefADSGoogle Scholar
  21. 21.
    G. Alexander et al., Phys. Rev. 173, 1452 (1968).CrossRefADSGoogle Scholar
  22. 22.
    J. A. Kadyk, G. Alexander, J. H. Chan, P. Gaposchkin, and G. H. Trilling, Nucl. Phys. B27, 13 (1971).CrossRefADSGoogle Scholar
  23. 23.
    J. M. Hauptman, J. A. Kadyk, and G. H. Trilling, Nucl. Phys. B125, 29 (1977).CrossRefADSGoogle Scholar
  24. 24.
    J. Haidenbauer and U.-G. Meißner, Phys. Rev. C 72, 044005 (2005),; J. Haidenbauer, contribution to these proceedings.CrossRefADSGoogle Scholar
  25. 25.
    R. Engelmann, H. Filthuth, V. Hepp, and E. Kluge, Phys. Lett. 21, 587 (1966).CrossRefADSGoogle Scholar
  26. 26.
    D. Stephen, PhD thesis, University of Massachusetts, 1975, unpublished.Google Scholar
  27. 27.
    J. K. Ahn and et al., Nucl. Phys. A648, 263 (1999).ADSGoogle Scholar
  28. 28.
    Y. Kondo and et al., Nucl. Phys. A676, 371 (2000).ADSGoogle Scholar
  29. 29.
    J. J. de Swart and C. Dullemond, Ann. Phys. 19, 485 (1962).Google Scholar
  30. 30.
    E. Epelbaum et al., Eur. Phys. J. A 15, 543 (2002).CrossRefADSGoogle Scholar
  31. 31.
    E. Epelbaum, W. Glöckle, and U.-G. Meißner, Eur. Phys. J. A 19, 401 (2004).CrossRefADSGoogle Scholar
  32. 32.
    A. Nogga, R. G. E. Timmermans, and U. van Kolck, Phys. Rev. C 72, 054006 (2005).CrossRefADSGoogle Scholar
  33. 33.
    M. P. Valderrama and E. R. Arriola, Phys. Rev. C 70, 044006 (2004).CrossRefADSGoogle Scholar
  34. 34.
    E. Epelbaum and U.-G. Meißner, nucl-th/0609037.Google Scholar
  35. 35.
    K. Tominaga and et al., Nucl. Phys. A642, 483 (1998).ADSGoogle Scholar
  36. 36.
    A. Nogga, J. Haidenbauer, H. Polinder, and U.-G. Meißner, in preparation.Google Scholar
  37. 37.
    A. Nogga, H. Kamada, and W. Glöckle, Phys. Rev. Lett. 88, 172501 (2002).CrossRefADSGoogle Scholar
  38. 38.
    A. Nogga, nucl-th/0611081.Google Scholar

Copyright information

© Società Italiana di Fisica / Springer-Verlag 2007

Authors and Affiliations

  • H. Polindera
    • 1
  1. 1.Institut für Kernphysik (Theorie)Forschungszentrum JülichJülichGermany

Personalised recommendations