Deep inelastic scattering by a composite particle in the scale-invariant Quark model

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.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.