``Shadow'' model for sub-barrier fusion applied to light systems: Determination of the reaction rate

Physics – Nuclear Physics

Scientific paper

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Fusion And Fusion-Fission Reactions, Elementary Particle Processes

Scientific paper

The fusion cross section is obtained in the framework of the ``shadow'' model. The parameters, which appear in the analytical expression of the fusion cross section, are determined by fitting the experimental values of the fusion cross section. The cross section factor <σv> is obtained by using this fusion cross section and by assuming that the distribution of the relative velocity between two different sets of particles is described by a Maxwell-Boltzmann distribution. The values of <σv> at different temperatures are determined by performing numerical integrations. At energies at which the experimental data are available the obtained cross section factor values coincide with those reported in the literature; at very low energies experimental data are not available and our approach is able to give the values of the cross section factor.

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