Pages: 11 - 17

Authors: Omid N. GHODSI, Mohamad MAHMODI, Jamil ARIAI

Abstract

In this paper, the cross-sections of fusion reactions ¹⁶O + ²⁰⁸Pb, ²⁸Si + ²⁰⁸Pb, ⁴⁰C + ⁴⁰Ca, ⁴⁰Ca + ⁴⁸Ca, ⁵⁸Ni + ⁵⁸Ni, and ¹⁶O + ¹⁵⁴Sm at bombarding energies above and near the fusion barrier have been investigated. The fusion cross-sections have been studied by means of the Monte Carlo method and effective soft-core nucleon-nucleon interaction. One adjustable parameter was used in these calculations. This parameter can change the strength and repulsive parts of soft-core potential values. It has to be adjusted, so that the analytical results are inacceptable agreement with the experimental data.
In our calculations, we have taken the range of the nucleon-nucleon soft-core interaction to be constant and equal to that of the M3Y-Raid potential. Results show that the higher values for the diffusion parameter in the Woods-Saxon potential obtained from a careful analysis of ¹⁶O + ²⁰⁸Pb and ²⁸Si + ²⁰⁸Pb reactions are due to the many particle effects on the nucleon–nucleon potential.

Key words: heavy-ion reaction, fusion cross-section, soft-core interaction, many particle effects

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