Relativistic RPA response functions for quasielastic electron scattering with a density-dependent NN interaction
ABSTRACT The longitudinal and transverse response functions as well as the Coulomb sum for quasielastic electron scattering on 12C, 40Ca, 48Ca, 56Fe and 208Pb have been calculated taking into account relativistic RPA correlations. For these calculations a density-dependent relativistic NN interaction reproducing the saturation curve of a Dirac-Brueckner calculation providing a good description of nuclear matter has been used. The agreement with experiment is considerably improved for nuclei ranging from 40Ca to 208Pb, but not for a relatively light nucleus like 12C.
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ABSTRACT: The density-dependent relativistic hadron (DDRH) field theory proposed recently is extended to investigate the longitudinal response function and the Coulomb sum rule in quasielastic electron scattering in the relativistic random phase approximation (RPA). The results in the DDRH model are compared with those in other models systematically. It is found that meson effective masses induced by the nonlinear terms in the nonlinear Walecka model should be used to obtain the meson Green’s functions when the longitudinal response function and the Coulomb sum rule are calculated. The effects of the d and ? mesons are clearly shown in quasielastic electron scattering, and the isospin-dependent attractive potential between nucleons due to the exchange of the d-meson cancels the isospin-dependent repulsive contribution of the ?-meson to a certain extent. The obtained results in the DDRH model are in good agreement with experimental data except for the Coulomb sum rule in 208Pb.European Physical Journal A 01/2005; 24(2):211-216. · 2.04 Impact Factor