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Prog. Theor. Phys. Vol. 57 No. 2 (1977) pp. 556-569

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A Dynamical Approach to the Scaling Violations

Ryosei Hayashi and Masaki Yasuè

Department of Physics, Nagoya University, Nagoya 464

(Received August 9, 1976)

Abstract:

The nucleon structure functions are evaluated by making use of the approximate solution of the B-S equation derived previously by one of the authors (R.H.) on the basis of a quark-gluon model. It can be seen that the Bjorken scaling is violated in this scheme and Q2-dependence of the scaling violation terms obeys a power-law, while the Callan-Gross relation holds to the scaling part. The results of the analyses strongly suggest that each constituent of the hadron must have a non-point-like substructure.


URL : http://ptp.ipap.jp/link?PTP/57/556/
DOI : 10.1143/PTP.57.556

[ Full Text PDF : FREE ACCESS (929K) ] Citation:


References:

  1. J. D. Bjorken, Phys. Rev. 179 (1969), 1547[APS].
  2. Proceedings of the 1975 International Symposium on Lepton and Photon Interactions at High Energies, ed. by R. Taylor.
    Y. Watanabe et al., Phys. Rev. Lett. 35 (1975), 898[APS].
    C. Chang et al., Phys. Rev. Lett. 35 (1975), 901[APS].
  3. R. P. Feynman, Phys. Rev. Lett. 23 (1969), 1415[APS].
    F. E. Close, Daresburg Lecture Notes Series No. 12 Parton and Quarks (1973).
    J. Kuti and V. Weisskopf, Phys. Rev. D 5 (1972), 3418[APS].
  4. S. D. Drell and T. D. Lee, Phys. Rev. D 5 (1972), 1738[APS].
    D. J. Gross and F. Wilezek, Phys. Rev. D 8 (1973), 3682[APS].
  5. K. Matumoto, Prog. Theor. Phys. 47 (1972), 1795[PTP]; ibid. 52 (1974), 1973[PTP].
  6. K. Matumoto and T. Tajima, Prog. Theor. Phys. 52 (1974), 741[PTP].
    See also, Shau-Jin Chang et al., Phys. Rev. Lett. 24 (1970), 847[APS].
    M. S. Chanowitz and S. D. Drell, Phys. Rev. Lett. 30 (1973), 807[APS].
  7. K. Matumoto and T. Tajima, Prog. Theor. Phys. 55 (1976), 648[PTP].
    T. Muta, preprint RIFP-243 (Jan., 1976).
    Kwang Sup Soh, CLNS-328.
    T. Kawabe, preprint Kyushu-76-HE-7 (June, 1976).
  8. R. Hayashi, Doctor Dissertation, Nagoya Univ. to be published in Prog. Theor. Phys.
  9. E. E. Salpeter and H. A. Bethe, Phys. Rev. 84 (1951), 1252[APS].
    For review and detailed analysis, N. Nakanishi, Prog. Theor. Phys. Suppl. No. 43 (1969), 1[PTP].
  10. P. V. Landshoff et al., Nucl. Phys. B 28 (1971), 225[CrossRef].
  11. D. J. Gross and C. H. Llewellyn Smith, Nucl. Phys. B 14 (1969), 337[CrossRef].
  12. T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52 (1974), 1326[PTP].
  13. A. Benvenuti et al., Phys. Rev. Lett. 36 (1976), 1478[APS].
    B. Aubert et al., Phys. Rev. Lett. 35 (1975), 984[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1104-1106 :
    A Note on the Approximate Solution of the B-S Equation in the Quark-Gluon Model. I
    Ryosei Hayashi
  2. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 521-533 :
    Scaling Violation as a Threshold Effect of Charm Particle Production
    Ryosei Hayashi