OPERATORS OF DEEP INELASTIC-SCATTERING IN MESON NUCLEON THEORY

Scalar mesons are used as an example to present the nonrelativistic meson-nucleon theory for deep inelastic scattering of leptons by the neutron. The Wilson operator expansion is used to obtain explicitly the nonrelativistic operators for deep inelastic scattering in terms of interacting nucleon and meson fields. An analytic expression is obtained for the second moments of the structure functions (with accuracy up to g2 ), and the contributions of the self-energy parts and meson exchange currents are extracted. It is shown that the deuteron moments can be expressed in terms of the physically observable moments of the constituents-nucleons and mesons. It is shown that the energy-momentum conservation law, violated in the impulse approximation, is exactly restored by taking into account the contribution of the meson exchange currents.