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Prog. Theor. Phys. Vol. 34 No. 2 (1965) pp. 289-298

[ Full Text PDF : FREE ACCESS (568K) ]

Symmetry Character of Bound States with Multichannel

Takao Okabayashi

Department of Physics, University of Tokyo, Tokyo

(Received March 15, 1965)

Abstract:

It is pointed out from the standpoint of the Green function formalism that the existence of bound states in multichannel problems always introduces a group which is restricted by the degeneracies of bound states and their constituent particles. The vertex function of the secondary interaction between a bound state and its constituent particles is proportional to the Clebsch-Gordan coefficients of the group. Further, it is shown that the bootstrap philosophy can be seen as a formalism in which the elementary (or, more strictly speaking, fundamental) particles and their interactions are eliminated from the usual formalism of the field theory.


URL : http://ptp.ipap.jp/link?PTP/34/289/
DOI : 10.1143/PTP.34.289

[ Full Text PDF : FREE ACCESS (568K) ] Citation:

References:

  1. G. F. Chew and S. C. Frautschi, Phys. Rev. Lett. 7 (1961), 394[APS].
    F. Zachariasen, Phys. Rev. Lett. 7 (1961), 112[APS]; ibid. 7 (1961), 268[APS].
    F. Zachariasen and C. Zemach, Phys. Rev. 128 (1962), 849[APS].
  2. R. E. Cutkowsky, Phys. Rev. 131 (1963), 1888[APS].
    A. Abers, C. Zemach and F. Zachariasen, Phys. Rev. 132 (1963), 1831[APS].
    R. H. Capps, Phys. Rev. Lett. 10 (1963), 312[APS].
  3. M. Jacob and G. F. Chew, Strong Interaction Physics (Benjamin, New York, 1964), p. 114-115.
  4. M. Yamada, Prog. Theor. Phys. 33 (1965), 676[PTP].
  5. H. P. Duerr, W. Heisenberg, H. Mitter, S. Schlieder and K. Yamazaki, Z. Naturforsch. 14 (1959), 441.
    Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS].
  6. T. Okabayashi and M. Yamada, Prog. Theor. Phys. 33 (1965), 705[PTP].
    This article will be cited as I hereafter.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 34 No. 4 (1965) pp. 653-673 :
    Bootstrap Mechanism and Non-Leptonic Weak Interactions
    Masao Yamada
  2. Progress of Theoretical Physics Vol. 35 No. 5 (1966) pp. 840-857 :
    Broken Symmetry and the Stability of Particle-like States
    Takao Okabayashi and Seiichi Naitô
  3. Progress of Theoretical Physics Vol. 35 No. 5 (1966) pp. 866-880 :
    Self-Consistent Method for the Anomalous Magnetic Moments of the Baryons
    Masao Yamada

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