SCALING AND THE VIOLATION OF SCALING

<正> The Ligh energy deep in-elastic scattering of leptons by the hadron is investigated in thepresent paper. It is shown that the quantum field theory leads quite naturally to the elasticscattering condition between the lepton and the quark and also the scaling property of thestructure functions without having to overlook the final state interaction. Concrete expres-sions of the structure functions are obtained assuming that the internal motion between thequark which interacts with the lepton and the rest part of the struck hadron is the simpleharmonic oscillation. This assumption is certainly consistent with the mass spectra of theexcited and ground states of hadrons.The predicted behavior of the structure functionat x～1 agrees with the experiment for the nucleons. The violation of scaling due to emis-sion of a gluon with large transverse momentum is derived and a new relation betweendln Q2 and dln k1～2 is obtained which is not quite the same as that obtained from leadinglogarithm consideration. Further remarks on testing QCD are also given.