Problems of Deep Inelastic Lepton-Nucleus Interaction

The deep inelastic scattering of electrons (muons) and neutrinos on the nuclei and the process of lepton pair production in hadron‐nucleus collisions are considered. The expressions for the corresponding differential cross‐sections are derived provided the final lepton and the spectator fragment of the initial nucleus are detected in coincidence. The structure functions of the processes under consideration are analysed by the principle of automodelity. Some scale‐invariant regularities are established for them. In the framework of “light front” formalism for many‐body systems the relations of these structure functions to the usual structure functions of the deep inelastic lepton hadron interaction are obtained. A hypothesis is put forward on the scale invariance of structure functions with respect to the ξ‐variable which is some complicated dimensionless combination of kinematic invariants.