Abstract

MARIANO, A. Scattering of GeV electrons and scaling within the mean field theory approach. Rev. mex. fis. [online]. 2006, vol.52, suppl.1, pp.88-96. ISSN 0035-001X.

Electron scattering by nuclei at high momentum transfers is studied within the Fermi smearing approximation (FSA), where binding effects on the struck nucleon are introduced via the relativistic mean field theory (MFT). The model naturally preserves electromagnetic current conservation, since the response tensor for an off-shell nucleon conserves the same form that for a free one but with an effective mass. Different parameterizations for the inelastic nucleon structure function, are used. We also analyze the behavior of the experimental nuclear response in terms of the scaling variable y associated to the model. Recent CEBAF data for the inclusive cross section of 4.05 GeV electrons on ⁵⁶Fe, are well reproduced for all measured geometries. The theoretical scaling function describes properly the trend of the experimental data, except at high values of Q² and large negative values of y. Future improvements to the model are proposed.

Keywords : Inelastic electron scattering; Relativistic scattering; Scaling laws.