Abstract
A method that sums the asymptotes of Feynman diagrams is used to consider the deep inelastic scatter of leptons by a pion, treated as a bound state of a quark and antiquark. It is shown that the form of the structure functions depends only on the number and type of quarks, but is independent of the bound state which they form. An estimate is obtained for the magnitude of the quark -gluon interaction constant at small distances.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
J. D. Bjorken, Phys. Rev.,179, 1547 (1969).
C. Chang et al., Phys. Rev. Lett.,35, 901 (1975).
S. J. Chang and P. Fishbane, Phys. Rev.,D2, 1084 (1970); V. N. Gribov and L. N. Lipatov, Yad. Fiz.,15, 781 (1972); N. Christ et al., Phys. Rev.,D6, 3543 (1972).
A. V. Efremov, Yad. Fiz.,19, 196 (1974); A. V. Efremov, Preprint JINR E2-7864 (1974).
A. V. Efremov and I. F. Ginzburg, Fortschr. der Physik,22, 575 (1974).
A. V. Efremov and A. V. Radyushkin, Preprint JINR E2-9717 (1976).
S. Mandelstam, Proc. Roy. Soc.,A 233, 248 (1955).
R. P. Feynman, Photon-Hadron Interactions, Benjamin (1962).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 59–66, December, 1976.
In conclusion we would like to thank A. V. Efremov for many fruitful discussions and much assistance, and Professor D. Ivanenko for discussing the paper in his seminar.
Rights and permissions
About this article
Cite this article
Radyushkin, A.V. Deep inelastic scattering by a composite particle in the scale-invariant Quark model. Soviet Physics Journal 19, 1574–1579 (1976). https://doi.org/10.1007/BF00890755
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00890755