Green's Function Approach to Inclusive Electron Scattering

2003/11/21 by F. Capuzzi, C. Giusti, Capuzzi, F. +6
Materials Science · Physics and Astronomy · #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0311080

15 pages, 4 figures, contribution to the XV International School on Nuclear Physics, Neutron Physics and Nuclear Energy, Varna September 9-13 2003

arxiv created 2003/11/21 · openalex publication_date 2003/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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