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Prog. Theor. Phys. Vol. 51 No. 6 (1974) pp. 1879-1892

An Analysis of Scaling in Terms of Parton Density Distributions

Keiichi Akama

Institute of Physics, University of Tokyo, Komaba, Tokyo 153

(Received November 28, 1973)

Abstract:

We study a possible role of parton density distributions in the description of deep inelastic lepton nucleon scattering. We consider the ideal case in which parton densities can be defined in an invariant manner under Lorentz transformations. The structure functions of inelastic lepton nucleon scattering W_i(ν, q²) in the non-deep inelastic region are then expressed in terms of their scaling limit functions F_i(x) under a certain assumption.

URL : http://ptp.ipap.jp/link?PTP/51/1879/
DOI : 10.1143/PTP.51.1879

[ Full Text PDF : FREE ACCESS (834K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. R. P. Feynman, Phys. Rev. Lett. 23 (1969), 1415[APS].
   J. D. Bjorken and E. A. Paschos, Phys. Rev. 185 (1969), 1975[APS].
2. S. D. Drell, D. J. Levy and T. M. Yan, Phys. Rev. 187 (1969), 2159[APS]; Phys. Rev. D 1 (1970), 1035[APS].
3. See for example, R. P. Feynman, “What Neutrinos Can Tell Us About Partons”, talk given at Neutrino '72 Conference, Balatonfüred, Hungary (1972), California Institute of Technology Preprint.
4. M. Breidenbach et al., Phys. Rev. Lett. 23 (1969), 930[APS].
5. G. Miller et al., Phys. Rev. D 5 (1972), 528[APS].
6. M. Gourdin, Nucl. Phys. B 38 (1972), 418[CrossRef].
7. K. Matumoto, Prog. Theor. Phys. 47 (1972), 1795[PTP].
8. M. S. Chanowitz and S. D. Drell, Phys. Rev. Lett. 30 (1973), 807[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1671-1673 :

   A Hypothesis of Hadronic Constituents with Size and Excited States and the Expected Pattern of Scaling Violation

   Ken-iti Matumoto

2. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 2160-2161 :

   Scaling Violation and Parton's Transverse Momentum

   Kiyotsuna Matsuda

3. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1494-1497 :

   Magnetic Moments of Composite Leptons and Quarks in a Dynamical Subquark Model

   Keiichi Akama

4. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 845-848 :

   Methods of Experimental Analyses for Subquark and Sublepton Physics

   Keiichi Akama

5. Progress of Theoretical Physics Supplement No.63 (1978) pp. 280-324 :

   Models of Bjorken Scaling Violation

   Ken-iti Matumoto, Taizo Muta and Toshihiko Tajima

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