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27 April 2024
 
  » arxiv » nucl-th/0311080

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Green's Function Approach to Inclusive Electron Scattering
F. Capuzzi ; C. Giusti ; A. Meucci ; F.D. Pacati ;
Date 21 Nov 2003
Subject nucl-th
AffiliationUniversità di Pavia and INFN, Sezione di Pavia, Italy
AbstractA 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.
Source arXiv, nucl-th/0311080
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