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Higher-order effects are calculated in the framework of the eigenchannel theory for elastic and inelastic electron-nucleus scattering in the energy region 100≤E≤250 MeV. A dispersion effect of about 12% is found for the elastic scattering on Ni58 at a momentum transfer q≈500 MeV/c. For inelastic scattering, the reorientation effect is discussed, in addition to the dispersion effect. The total higher-order effect changes the form factor for a hindered first-order transition by 50% at its minima. Furthermore, the dependence of the higher-order effects on the transition potentials of the virtual excitations, the model dependence, and the dependence on the energy E of the electron and the momentum transfer q are discussed. A closed formula for the S matrix is developed by calculating the eigenchannels in stationary perturbation theory.
Within the framework of the eigenchannel reaction theory above the two-particle thresholdcluster channels are introduced. The eigenchannels of the S-matrix are used, i. e. continuum stateswhich diagonalize both the S-matrix and the nuclear Hamiltonian and represent for each reactionenergy a discrete set of coupled channel wave functions with a common (eigen-) phase. Especiallythe emission of a deuteron is discussed. It is shown that the cluster channels supplement the energy-correlated channels describing the energy partition £1 + e2 = E —Ef and that asymptotic channelorthogonality holds. The characteristic feature of the cluster channels as compared to the energy-correlated channels is that their final state interaction is not limited to a finite matching volumecomparable to nuclear sizes.