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Prog. Theor. Phys. Vol. 17 No. 1 (1957) pp. 30-42

[ Full Text PDF : FREE ACCESS (882K) ]

A Method of Renormalization for Unstable Particles

Takao Okabayashi and Shigeo Sato

Department of Physics, University of Tokyo, Tokyo

(Received August 30, 1956)

Abstract:

We investigate the Lee's model which is modified in such a way as the V state is in the unstable mass relation. A renormalization recipe is proposed, which reduces to the conventional one in the stable case but is essentially different from the latter in some respects. The result obtained by this method represents certainly the unstability of the V state. However, its decay character is more complicated than the ordinarily accepted exponential time-dependence. Some new features introduced by our method are discussed.


URL : http://ptp.ipap.jp/link?PTP/17/30/
DOI : 10.1143/PTP.17.30

[ Full Text PDF : FREE ACCESS (882K) ] Citation:

References:

  1. E. C. G. Stückelberg and D. Rivier, Helv. Phys. Acta 23 (1950), 215.
    E. C. G. Stückelberg and D. Rivier, Helv. Phys. Acta 23 (1950), 236.
    E. C. G. Stückelberg and T. A. Green, Helv. Phys. Acta 24 (1951), 153.
  2. R. E. Peierls, Proceedings of Glasgow Conference on Nuclear and Meson Physics, 1954, p. 296.
  3. T. D. Lee, Phys. Rev. 95 (1954), 1329[APS].
  4. E. Arnous and S. Zienau, Helv. Phys. Acta 24 (1951), 279.
  5. G. Kallen and W. Pauli, Dan. Mat. Fys. Medd. 30 (1955), No. 7.
  6. E. J. Hellund, Phys. Rev. 89 (1953), 919[APS].
    M. Namiki and N. Mugibayashi, Prog. Theor. Phys. 10 (1953), 474[PTP]. The authors thank Dr. Mugibayashi for calling their attention to these papers, after the completion of this work.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 18 No. 2 (1957) pp. 200-208 :
    On the Theory of the Unstable Particle in Lee's Model
    Kunio Naito
  2. Progress of Theoretical Physics Vol. 18 No. 6 (1957) pp. 614-620 :
    On the Theory of the Unstable Particle, II
    Kinio Naito
  3. Progress of Theoretical Physics Vol. 19 No. 6 (1958) pp. 607-621 :
    A Theory of Clothed Unstable Particles
    Noboru Nakanishi
  4. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 857-867 :
    Theory of Unstable Particles in the Wave-Packet-Formalism
    Kunio Yamamoto
  5. Progress of Theoretical Physics Vol. 21 No. 1 (1959) pp. 1-17 :
    On the Unstable States in Quantum Field Theory
    Tetsuo Gotō
  6. Progress of Theoretical Physics Vol. 26 No. 6 (1961) pp. 829-843 :
    Relativistic Quantum Field Theory of Unstable Particle
    Mitsuru Hama and Sho Tanaka
  7. 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

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