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Prog. Theor. Phys. Vol. 47 No. 6 (1972) pp. 2117-2132

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Scattering Amplitude in the Ur-citon Scheme

Shin Ishida and Jun Otokozawa

Department of Physics and Atomic Energy Research Institute, Nihon University, Tokyo

(Received January 7, 1972)

Abstract:

An operator method in treating the internal system of a harmonic oscillator in the urciton scheme [which was proposed recently by one of the authors (S. I.) for unified treatment of hadrons] is developed to derive form factors, vertex functions and scattering amplitudes. Although the treatment is limited for the simplified system of a one-ur-citon-particle and an external particle, the method may be directly applicable to the actual problem. As a result, it is especially shown that the scattering amplitude gives Regge pole behavior in the high energy region.


URL : http://ptp.ipap.jp/link?PTP/47/2117/
DOI : 10.1143/PTP.47.2117

[ Full Text PDF : FREE ACCESS (804K) ] Citation:

References:

  1. S. Ishida, Prog. Theor. Phys. 46 (1971), 1570[PTP]; ibid. 46 (1971), 1905[PTP].
  2. S. Ishida, K. Nakamura and M. Oda, Prog. Theor. Phys. 47 (1971), 304[PTP].
  3. S. Ishida, K. Konno and Y. Yamazaki, Prog. Theor. Phys. 47 (1971), 317[PTP].
  4. O. Hara and T. Gotō, Prog. Theor. Phys. 44 (1970), 1383[PTP].
  5. T. Gotō, O. Hara and S. Ishida, Prog. Theor. Phys. 43 (1970), 849[PTP].
    See also, D. Ito and K. Fujii, Soryushiron Kenkyu (mimeographed circular in Japanese) 24 (1961), 245; ibid. 24 (1961), 331.
    C. H. Lewellyn Smith, Ann. of Phys. 53 (1969), 549. (footnote 21).
    R. P. Feynman, M. Kislinger and F. Ravndal, Phys. Rev. D 3 (1971), 2706[APS].
  6. T. Takabayasi, Phys. Rev. 139 (1965), B1381[APS].
  7. K. Fujimura, T. Kobayashi and M. Namiki, Prog. Theor. Phys. 43 (1970), 73[PTP]; ibid. 44 (1970), 193[PTP].
  8. S. Ishida, M. Kaiba, K. Konno and Y. Yamazaki, to be published.
  9. T. Takabayasi, Prog. Theor. Phys. Suppl. No. 41 (1968), 160[PTP].

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  22. Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
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