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A Greens function approach to the inclusive quasielastic ($e,e$) scattering is presented. The components of the nuclear response are written in terms of the single-particle optical model Greens function. The explicit calculation of the Greens function can be avoided by its spectral representation, which is based on a biorthogonal expansion in terms of the eigenfunctions of the non-Hermitian optical potential and of its Hermitian conjugate. This allows one to treat final state interactions consistently in the inclusive ($e,e$) and in the exclusive ($e,eN$) reactions. Numerical results for the longitudinal and transverse response functions obtained in a nonrelativistic and in a relativistic framework are presented and discussed also in comparison with data.
We compute inclusive electron-nucleus cross sections using ab initio spectral functions of $^4$He and $^{16}$O obtained within the Self Consistent Greens Function approach. The formalism adopted is based on the factorization of the spectral function
We compare the results of the relativistic Greens function model with the experimental data of the charged-current inclusive differential neutrino-nucleus cross sections published by the T2K Collaboration. The model, which is able to describe both MI
The production of slow nucleons in semi-inclusive deep inelastic electron scattering off the deuteron is investigated in the region $x gsim 0.3$. It is shown that within the spectator mechanism the semi-inclusive cross section exhibits a scaling prop
We have studied the scaling properties of the electromagnetic response functions of $^4$He and $^{12}$C nuclei computed by the Greens Function Monte Carlo approach, retaining only the one-body current contribution. Longitudinal and transverse scaling
The production of slow nucleons in semi-inclusive deep inelastic electron scattering off the deuteron is investigated in the region $x gsim 0.3$ for kinematical conditions accessible at $HERA$. Within the spectator mechanism the semi-inclusive cross