Il Nuovo Cimento (1955-1965)

, Volume 23, Issue 6, pp 1064–1072 | Cite as

Models for compound particles

  • W. E. Thirring


Some versions of the Zachariasen model are used to describe mesons as bound particles. The resulting coupling constants are discussed and the resonances associated with the bound state through Levinson’s theorem are calculated.


Si usano alcune versioni del modello di Zachariasen per descrivere i mesoni come particelle legate. Si discutono le costanti di accoppiamento che ne risultano e si calcolano con il teorema di Levinson le risonanze associate allo stato legato.


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  1. (1).
    K. Baumann, P. G. O. Freund andW. Thirring:Nuovo Cimento,18, 906 (1960);Y. Nambu andG. Iona-Lasinio:Phys. Rev.,122, 345 (1961);H. Dürr andW. Heisenberg:Zeits. f. Natur.,16 a, 726 (1961).MathSciNetCrossRefGoogle Scholar
  2. (2).
    F. Zachariasen:Phys. Rev.,121, 1851 (1961). See alsoW. Thirring, to be published inPhys. Rev. MathSciNetADSCrossRefzbMATHGoogle Scholar
  3. (3).
    L. Landau:Žurn. Ėksp. Teor. Fiz.,39, 1856 (1960).Google Scholar
  4. (4).
    After this work was completed a paper byY. Fuji appeared inProg. Theor. Phys.,26, 391 (1961) which contains similar calculations. Analoguos models have also been discussed byR. Oehme (Hercegnovi Summer School, 1961) and byM. Gell-Mann andF. Zachariasen:Phys. Rev.,123, 1071 (1961).ADSCrossRefGoogle Scholar
  5. (5).
    See,f.i.,W. Thirring:Principles of Quantum Electrodynamics, (New York, 1958) App. II.Google Scholar
  6. (*).
    Alternatively one can look for a pole in the propagator of the square of the Bose field which serves as local field of the bound state. See (2).MathSciNetADSCrossRefGoogle Scholar
  7. (6).
    That a compound particle may be considered as the limit of an elementary particle has recently been emphasized byVaughn, Aaron andAmado (preprint).Google Scholar

Copyright information

© Società Italiana di Fisica 1962

Authors and Affiliations

  • W. E. Thirring
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaVienna

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