Does it make any sense to talk about a △-isobar

  • Frieder Kleefeld
Part of the Few-Body Systems book series (FEWBODY, volume 15)


It is shortly investigated, on what basis an experimentally observed resonance like the △(1232)-isobar can be embedded into the framework of Quantum Theory (QT), i.e. Quantum Field Theory (QFT) and Quantum Mechanics (QM). After a short discussion of the particle concept in the context of the “bootstrap” idea of G. Chew and S. Mandelstam we will focus on the theoretical formalism being necessary to describe resonances in the Lagrangian or Hamiltonian formulation of QT.


Quantnm Theory Polarization Vector Linear Sigma Model Unstable Particle Lorentz Boost 
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  1. 1.
    H. Garcilazo et al.: Phys. Rev. C 42, 2315 (1990)Google Scholar
  2. 2.
    F. Kleefeld: hep-ph/0211460; F. Kleefeld, E. van Beveren, G. Rupp: Nucl. Phys. A 694, 470 (2001)Google Scholar
  3. 3.
    F. Kleefeld: Doctoral Thesis (University of Erlangen-N¨¹rnberg, Germany, 1999); F. Kleefeld: Acta Physica Polonica B 30, 981 (1999)Google Scholar
  4. 4.
    F. Kleefeld: pp. 69–77 in Vol. I of Proc. XIV Int. Seminar on High En. Phys. Probl. (ISHEPP 98), 17.-22.8.1998, JINR, Dubna, Russia, nucl-th/9811032Google Scholar
  5. 5.
    F. Capra: “Bootstrap physics: a conversation with Geoffrey Chew”, in Berkeley Chew Jubilee 1984:247 (LBL-18372), KEK-library 198412075; B. Diu: “Qu’est-ce qu’une particule êlêmentaire?”, collection de monographies de physique publiée sous la direction de P. Airain, A. Blanc-Lapierre, J. Friedel, M. Lévy, ©1965 par Masson et Cie- Editeurs, ParisGoogle Scholar
  6. 6.
    K. Hagiwara et al. (Particle Data Group): Phys. Phys. D66, 010001 (2002)Google Scholar
  7. 7.
    N.D. Hari Dass and V. Soni: hep-th/0204177Google Scholar
  8. 8.
    E. van Beveren et al.: hep-ph/0211411Google Scholar
  9. 9.
    F. Kleefeld et al.: Phys. Rev. D 66, 034007 (2002)Google Scholar
  10. 10.
    E. van Beveren et al.: Mod. Phys. Lett. A 17, 1673 (2002)ADSGoogle Scholar
  11. 11.
    G.F. Chew and S. Mandelstam:. Nuovo Cim. 19, 752 (1961)CrossRefMATHMathSciNetGoogle Scholar
  12. 12.
    M.D. Scadron et al.: hep-ph/0211275Google Scholar
  13. 13.
    L.-H. Chan, R. W. Haymaker:Phys. Rev. D 7, 402 (1973)Google Scholar
  14. 14.
    N. Nakanishi:Phys. Rev. D 5, 1968 (1972)CrossRefGoogle Scholar
  15. 15.
    N. Nakanishi: Prog. Theor. Phys. Suppl. 51, 1 (1972)Google Scholar
  16. 16.
    N. Nakanishi:Prog. Theor. Phys. 19, 607 (1958)ADSCrossRefMATHGoogle Scholar
  17. 17.
    Jun-Chen Su: hep-th/9805195, 9805192, 9805193, 9805194.Google Scholar

Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  • Frieder Kleefeld
    • 1
  1. 1.Centro de Física das Interacçōes FundamentaisInstituto Superior Técnico, Edifício CiênciaLISBOAPortugal

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