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Comparison between the double folding model and the energy density approach for calculating the ion-ion potential

M Ismail, M Osman, W Guirguis, A Ramadan and H Abo Zahra

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In the present work, the authors use the energy density formalism derived from both the conventional Skyrme force with parameter sets SI, SII, and SIII together with the extended Skyrme force with parameters SKE1, SKE2, SKE3 and SKE4 to study the real part of the ion-ion potential between different pairs of nuclei. They have first modified the Skyrme energy density to include the energy dependence of the ion-ion potential. Then they have calculated the interaction potential between different pairs of nuclei at the strong absorption radius Rs. They have compared the results with those deduced from experiment and with the predictions of the double folding model with M3Y force. They found that the results, obtained using a suitable approximation of the kinetic energy density, agree satisfactorily with experiment. The agreement is better than the agreement found in other papers.


PACS

21.30.-x Nuclear forces

21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree–Fock and random-phase approximations)

24.10.Ht Optical and diffraction models

Subjects

Nuclear physics

Dates

Issue 7 (July 1989)



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