Nuclear incompressibility and density dependent NN interactions in the folding model for nucleus-nucleus potentials
- Department of Physics, Chung Yuan Christian University, Chung Li, Taiwan 32023, Republic of (China)
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States)
- Bereich FK, Hahn-Meitner-Institut-GmbH, Glienicker Strasse 100, D-14109 Berlin (Germany)
A generalized version of density dependence has been introduced into the M3Y effective nucleon-nucleon (NN) interaction that was based on the G-matrix elements of the Paris NN potential. The density dependent parameters have been chosen to reproduce the saturation binding energy and density of normal nuclear matter within a Hartree-Fock scheme, but with various values for the corresponding nuclear incompressibility K ranging from 176 to 270 MeV. We use these new density dependent interactions in the folding model to calculate the real parts of {alpha}-nucleus and nucleus-nucleus optical potentials for those systems where strongly refractive scattering patterns have been observed. These provide some information on the potentials at short distances, where there is a strong overlap of the projectile and target density distributions, and hence where the density dependence of the interaction plays an important role. We try to infer, from careful optical model (OM) analyses, the sensitivity of the scattering data to different K values. Results obtained for elastic {alpha} scattering on targets ranging from {sup 12}C to {sup 208}Pb allow us to determine unambiguously that the K value favored in this approach is within the range of 240 to 270 MeV. Similar OM analyses have also been done on measurements of the elastic scattering of {sup 12}C+{sup 12}C, {sup 16}O+{sup 12}C, and {sup 16}O+{sup 16}O at incident energies up to 94 MeV/nucleon. These data were found to be much less sensitive over such a narrow range of K values. This lack of sensitivity is due mainly to the smaller maximum overlap density which occurs for these systems, compared to that which is formed in an {alpha}-nucleus collision. This makes the effects of density dependence less substantial. Another reason is that a small difference between two folded heavy ion potentials can often be compensated for, in part, by a small overall renormalization of one of them. (Abstract Truncated)
- Research Organization:
- Oak Ridge National Laboratory
- DOE Contract Number:
- AC05-96OR22464; FG05-88ER40461; FG05-93ER40770
- OSTI ID:
- 656155
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 2 Vol. 56; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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