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Prog. Theor. Phys. Vol. 36 No. 4 (1966) pp. 781-798

[ Full Text PDF : FREE ACCESS (843K) ]

Classification of an Unstable Particle and Its Propagator

Masayuki Uehara

Department of Physics, University of Osaka Prefecture, Sakai

(Received May 25, 1966)

Abstract:

The classification of an unstable particle according to the values of the complex wave function renormalization constant is discussed. The propagator of the unstable particle is analytically continued to an unphysical Riemann sheet, on which there exist poles of the propagator corresponding to the unstable particle. The complex renormalization constant is defined as a limiting value of the unphysical propagator at high energies. Equations to determine the complex coupling constant and the complex mass are obtained. The classification thus obtained is similar to the case of a stable particle. Extension to the multi-channel formalism is also discussed.


URL : http://ptp.ipap.jp/link?PTP/36/781/
DOI : 10.1143/PTP.36.781

[ Full Text PDF : FREE ACCESS (843K) ] Citation:

References:

  1. For example, M. Ida, Prog. Theor. Phys. 34 (1965), 92[PTP].
    T. Akiba, S. Saito and F. Takagi, Nuovo Cim. 39 (1965), 316.
  2. M. Ida, Prog. Theor. Phys. 34 (1965), 92[PTP].
  3. K. Hayashi, M. Ida, T. Saegusa, T. Shirafuji and M. Uehara, Prog. Theor. Phys. 34 (1965), 636[PTP].
  4. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 35 (1966), 337[PTP].
  5. M. Ida, Phys. Rev. 135 (1965), B499[APS].
  6. H. Araki, Y. Munakata, M. Kawaguchi and T. Goto, Prog. Theor. Phys. 17 (1957), 419[PTP].
  7. M. Levy, Nuovo Cim. 13 (1959), 115.
  8. N. Nakanishi, Prog. Theor. Phys. 19 (1958), 607[PTP].
  9. M. T. Vaughn, R. Aaron and R. D. Amado, Phys. Rev. 124 (1961), 1258[APS].
  10. H. Lehmann, Nuovo Cim. 11 (1954), 342.
  11. R. Oheme, Phys. Rev. 121 (1961), 1840[APS].
  12. T. Akiba, Nuovo Cim., to be published.
  13. M. Ida, Prog. Theor. Phys. 35 (1966), 692[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1347-1360 :
    A Model of the Nucleon and the P11 Resonance as a Bound State of a Hidden Channel
    Masayuki Uehara
  2. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 108-117 :
    Effect of Hidden Channels on Low-Lying Channels
    Kisei Kinoshita, Yukiko Kinoshita and Nobuyuki Murai
  3. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 1060-1067 :
    Multi-Resonance Structure in the P11 State of πN Scattering
    Masayuki Uehara
  4. Progress of Theoretical Physics Vol. 74 No. 1 (1985) pp. 178-181 :
    The Enhancement of the Δ(1232) Width
    Masayuki Uehara, Ichio Fukui and Hiroki Kondo

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