Green's Function Approach to Inclusive Electron Scattering

Details Green's Function Approach to Inclusive Electron Scattering Green's Function Approach to Inclusive Electron Scattering

2003-11-21

arxiv.org/abs/nucl-th/0311080v1

Physics

Nuclear Physics

Nuclear Theory

15 pages, 4 figures, contribution to the XV International School on Nuclear Physics, Neutron Physics and Nuclear Energy, Varna

Scientific paper

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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