Density Dependent Effective Interactions and the Determination of Nuclear Densities in Double-Folding Model Analyses of Elastic alpha-Particle Scattering

摘要

Different forms for the density dependence of two-body effective interactions are empirically studied in double-folding model analyses of elastic alpha-particle scattering at E/sub alpha / = 104 MeV and 140 MeV. The main aspects of the calculations, which are based on the M3Y-interaction, are the analytical parametrisation of the density dependence and the appropriate consideration of the target and projectile density in the overlap region. For the latter purpose different relative weights of the densities were introduced, which also simulate density gradient effects. Besides the need for a separate treatment of the target and projectile densities in particular the different relative weights are found to be important. With the new modifications suggested in this study consistent results are obtained for the various parametrisations and these results are in agreement with previous implicit folding interpretations of nucleon scattering data. The results are finally discussed with regard to the ability of getting information about nuclear matter distributions and a comparison with single-folding models is made. It is concluded that double and single-folding models are equivalent when empirical adjustments of parameters are to be made in order to obtain reasonably good fits to the experimental data. (ERA citation 13:005078)