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Study of a possible S = + 1 dynamically generated baryonic resonance

  • Sourav Sarkar
  • E. Oset
  • M. J. Vicente Vacas
Original Article

Abstract.

Starting from the lowest-order chiral Lagrangian for the interaction of the baryon decuplet with the octet of pseudoscalar mesons we find an attractive interaction in the ΔK channel with L = 0 and I = 1, while the interaction is repulsive for I = 2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and manifests itself in a large strength of the ΔK scattering amplitude close to the ΔK threshold, which is not the case for I = 2. However, we also make a study of uncertainties in the model and conclude that the existence of this pole depends sensitively upon the input used and can disappear within reasonable variations of the input parameters. We take advantage to study the stability of the other poles obtained for the \( {\frac{{3}}{{2}}}\)- dynamically generated resonances of the model and conclude that they are stable and not contingent to reasonable changes in the input of the theory.

PACS.

13.75.Jz Kaon-baryon interactions 12.39.Fe Chiral Lagrangians 14.20.-c Baryons (including antiparticles) 11.80.Gw Multichannel scattering 

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References

  1. 1.
    N. Kaiser, P.B. Siegel, W. Weise, Nucl. Phys. A 594, 325 (1995), arXiv:nucl-th/9505043.Google Scholar
  2. 2.
    E. Oset, A. Ramos, Nucl. Phys. A 635, 99 (1998), arXiv:nucl-th/9711022.Google Scholar
  3. 3.
    J.A. Oller, U.-G. Meißner, Phys. Lett. B 500, 263 (2001).Google Scholar
  4. 4.
    E. Oset, A. Ramos, C. Bennhold, Phys. Lett. B 527, 99 (2002)Google Scholar
  5. 5.
    C. Garcia-Recio, J. Nieves, E. Ruiz Arriola, M.J. Vicente Vacas, Phys. Rev. D 67, 076009 (2003), arXiv:hep-ph/0210311.Google Scholar
  6. 6.
    D. Jido, J.A. Oller, E. Oset, A. Ramos, U.G. Meißner, Nucl. Phys. A 725, 181 (2003), arXiv:nucl-th/0303062.Google Scholar
  7. 7.
    C. Garcia-Recio, M.F.M. Lutz, J. Nieves, Phys. Lett. B 582, 49 (2004), arXiv:nucl-th/0305100.Google Scholar
  8. 8.
    A. Dobado, J.R. Pelaez, Phys. Rev. D 56, 3057 (1997), arXiv:hep-ph/9604416.Google Scholar
  9. 9.
    J.A. Oller, E. Oset, J.R. Pelaez, Phys. Rev. D 59, 074001 (1999)Google Scholar
  10. 10.
    J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985).Google Scholar
  11. 11.
    G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989).Google Scholar
  12. 12.
    C.L. Schat, J.L. Goity, N.N. Scoccola, Phys. Rev. Lett. 88, 102002 (2002), arXiv:hep-ph/0111082.Google Scholar
  13. 13.
    J.A. Oller, E. Oset, Phys. Rev. D 60, 074023 (1999), arXiv:hep-ph/9809337.Google Scholar
  14. 14.
    J.R. Pelaez, Phys. Rev. Lett. 92, 102001 (2004), arXiv:hep-ph/0309292.Google Scholar
  15. 15.
    Particle Data Group Collaboration (S. Eidelman ), Phys. Lett. B 592, 1 (2004).Google Scholar
  16. 16.
    E.E. Kolomeitsev, M.F.M. Lutz, Phys. Lett. B 585, 243 (2004), arXiv:nucl-th/0305101.Google Scholar
  17. 17.
    LEPS Collaboration (T. Nakano ), Phys. Rev. Lett. 91, 012002 (2003), arXiv:hep-ex/0301020.Google Scholar
  18. 18.
    A. Hosaka, Phys. Lett. B 571, 55 (2003), arXiv:hep-ph/0307232.Google Scholar
  19. 19.
    R.L. Jaffe, F. Wilczek, Phys. Rev. Lett. 91, 232003 (2003), arXiv:hep-ph/0307341.Google Scholar
  20. 20.
    X.C. Song, S.L. Zhu, Mod. Phys. Lett. A 19, 2791 (2004), arXiv:hep-ph/0403093.Google Scholar
  21. 21.
    R. Bijker, M.M. Giannini, E. Santopinto, arXiv:hep-ph/0403029.Google Scholar
  22. 22.
    P. Bicudo, G.M. Marques, Phys. Rev. D 69, 011503 (2004), arXiv:hep-ph/0308073.Google Scholar
  23. 23.
    F.J. Llanes-Estrada, E. Oset, V. Mateu, arXiv:nucl-th/0311020.Google Scholar
  24. 24.
    E. Jenkins, A.V. Manohar, Phys. Lett. B 259, 353 (1991).Google Scholar
  25. 25.
    T.E.O. Ericson, W. Weise, Pions and Nuclei (Oxford Science Publications, 1988).Google Scholar
  26. 26.
    T.R. Hemmert, B.R. Holstein, J. Kambor, J. Phys. G 24, 1831 (1998), arXiv:hep-ph/9712496.Google Scholar
  27. 27.
    M.N. Butler, M.J. Savage, R.P. Springer, Nucl. Phys. B 399, 69 (1993), arXiv:hep-ph/9211247.Google Scholar
  28. 28.
    S. Sarkar, E. Oset, M.J. Vicente Vacas, Nucl. Phys. A 750, 294 (2005), arXiv:nucl-th/0407025.Google Scholar
  29. 29.
    Bologna-Glasgow-Rome-Trieste Collaboration (G. Giaco\-melli ), Nucl. Phys. B 111, 365 (1976).Google Scholar
  30. 30.
    J.S. Hyslop, R.A. Arndt, L.D. Roper, R.L. Workman, Phys. Rev. D 46, 961 (1992).Google Scholar
  31. 31.
    A.W. Thomas, K. Hicks, A. Hosaka, Prog. Theor. Phys. 111, 291 (2004), arXiv:hep-ph/0312083.Google Scholar
  32. 32.
    C. Hanhart , Phys. Lett. B 590, 39 (2004), arXiv:hep-ph/0312236.Google Scholar
  33. 33.
    T. Hyodo, A. Hosaka, E. Oset, Phys. Lett. B 579, 290 (2004), arXiv:nucl-th/0307105.Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  • Sourav Sarkar
    • 1
  • E. Oset
    • 1
  • M. J. Vicente Vacas
    • 1
  1. 1.Departamento de Fısica Teórica and IFICCentro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de PaternaValenciaSpain

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