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Prog. Theor. Phys. Vol. 43 No. 4 (1970) pp. 1050-1070

[ Full Text PDF : FREE ACCESS (1189K) ]

The Non-Local Field Theory of the Quark Model. II

Ikuo Sogami

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received November 24, 1969)

Abstract:

The non-local field theory of the quark model is developed by performing the second quantization and postulating interactions among mesic states. As an application, the high energy π-π scattering amplitude is calculated in the lowest order perturbation approximation and is found to exhibit definitely the desirable Regge behaviour. Further, the electromagnetic interaction of hadrons is formulated in a phenomenological way using the generalized current-field identity, and the electromagnetic form factor of pion is examined.


URL : http://ptp.ipap.jp/link?PTP/43/1050/
DOI : 10.1143/PTP.43.1050

[ Full Text PDF : FREE ACCESS (1189K) ] Citation:


References:

  1. I. Sogami, Prog. Theor. Phys. 41 (1969), 1352[PTP].
  2. H. Yukawa, Phys. Rev. 77 (1950), 219[APS]; ibid. 80 (1950), 1047[APS]; ibid. 91 (1953), 415[APS]; ibid. 91 (1953), 416[APS].
  3. A. Salam, R. Delbourgo and J. Strathdee, Proc. Roy. Soc. 284 (1965), 146.
  4. S. Tanaka, Prog. Theor. Phys. Suppl. No. 41 (1968), 194[PTP].
    T. Shirafuji, Prog. Theor. Phys. 39 (1968), 1047[PTP].
  5. N. M. Kroll, T. D. Lee and Bruno Zumino, Phys. Rev. 157 (1967), 1376[APS].
  6. M. Fierz, Helv. Phys. Acta 33 (1950), 412.
  7. R. E. Behrends and C. Fronsdal, Phys. Rev. 106 (1957), 345[APS].
  8. C. N. Yang and D. Feldman, Phys. Rev. 76 (1950), 972[APS].
  9. C. Bloch, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 27 (1952), No. 8.
    P. Kristensen and C. Møller, Kgl. Danske Videnskab. Selskab. Mat.-fys. Medd. 27 (1952), No. 7.
  10. M. Gell-Mann, D. Sharp and W. G. Wagner, Phys. Rev. Lett. 8 (1962), 261[APS].
  11. S. Mandelstam, Ann. of Phys. 19 (1962), 254[CrossRef].
  12. L. Sertorio and M. Toller, Nuovo Cim. 33 (1964), 413.
  13. R. Wilson, Phys. Today Jan. (1969), 47.
  14. R. G. Van Nostrand, J. Math. Phys. 33 (1954), 276[AIP Scitation].
    L. Robin, Fonctions Sphériques de Légendre et Fonction Spherodidales 3 (Paris).
  15. Erdélyi et al., Higher Transcendental Functions (McGraw-Hill), 1 (1953), 156; ibid. 1 (1953), 159.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1729-1747 :
    Reconstruction of Non-Local Field Theory. I
    Ikuo Sogami
  2. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 2000-2026 :
    Multi-Local Hadron Fields
    Shin Ishida, Masuho Oda and Yasuhito Yamazaki
  3. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 559-568 :
    Deuteron Elastic Electromagnetic Form Factor in Relativistic Harmonic Oscillator Model
    Yoshiki Kizukuri, Mikio Namiki and Keisuke Okano
  4. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1752-1761 :
    Photodecay Processes of J/ψ → fγ, f'γ and so on, in Relativistic Harmonic Oscillator Model
    Keisuke Okano