High energy e-particle interactions with nuclei are considered as interference of cascades initiated by mesons, nucleons and fragments of e-particle, which are produced in collisions of e-particle with nucleons of the target nucleus. Nuclear depletion has been taken into account during the interaction process. Emulsion and streamer chamber data of e-particle interactions with light (Li, C, N, O, A1) and heavy (Cu, Ag, Br, Pb) nuclei at the energy 3.64 GeV per nucleon have been analyzed. At the range of atomic numbers A > 100 the discrepancy between theoretical calculations and experimental data becomes noticeable.Excluding the case of deuteron-nucleus reactions one can consider e-nucleus interactions as the simplest chance to test various models of nucleus-nucleus interactions. Rather plentiful experimental data of eparticle interactions at the energies of about few GeV per nucleon and a wide range of target nuclei promote this [1][2][3][4][5][6][7][8][9][10]. The interest to e-nucleus interactions is stimulated by the problems of radiation protection from cosmic rays and of influence of this radiation on biological objects.* In Refs. [11][12][13] it has been shown that the amplitude of elastic e-nucleus collision can be considered as a superposition of amplitudes for e-particle interacting as a whole with separate nucleons inside of the target nucleus. This approach simplifies the calculations and is in good agreement with experiments. For the case of inelastic e-Nucleus interactions this approach has been considered in [14] in which there has been obtained better agreement with experiments than in cases of using more crude models [t5, 16] where the initital helium ion has been considered as a set of four uncorrelated nucleons and the changing of nuclear density during the cascade process has not been taken into account (the last effect is especially important). However the consideration in [14] was limited by the energies T~50--200 MeV per nuc-* We are obliged to Dr. A.I. Vikhrov, Dr. Ju.G. Grigorov, Dr. V.D. Dudkin for discussing of this question leon, for which cosmic and accelerator data were known.* Calculations in the framework of the approximation used in [14] for higher energies are merely tentative and they give a considerable quantative discrepancy with the experiments. The causes for this are the following: because of poor information about e-nucleon interactions some channels of e-N reaction accompanied by pion production were not taken into account; channels of e-particle fragmentation in deuterons were neglected; the exitation energy of residual nucleus was negative sometimes because of insufficiently precise cinematical approximations in the channels of t and 3He-fragments production. Our purpose is to expand the model of [14] to the energy region T~ ~few GeV per nucleon and to analize the validity of the intranuclear cascade mechanism for e-nucleus interactions in this energy domain.** The target nucleus is considered as a Fermi-gas of nucleons with density p (r) which is described for light nu...
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