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Green's Function Approach to Inclusive Electron Scattering

F. Capuzzi·C. Giusti·A. Meucci·F. D. Pacati
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Abstract

A Green's 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 Green's function. The explicit calculation of the Green's 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 ($e,e'N$) 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.

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F. Capuzzi, C. Giusti, A. Meucci, F. D. Pacati. 2003-11-21. Green's Function Approach to Inclusive Electron Scattering. https://arxiv.org/abs/nucl-th/0311080

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