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arXiv · 1010.3321

Barrier modification in sub-barrier fusion reactions using Wong formula with Skyrme forces in semiclassical formalism

Raj Kumar·Raj K. Gupta
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Abstract

We obtain the nuclear proximity potential by using semiclassical extended Thomas Fermi (ETF) approach in Skyrme energy density formalism (SEDF), and use it in the extended $\ell$-summed Wong formula under frozen density approximation. This method has the advantage of allowing the use of different Skyrme forces, giving different barriers. Thus, for a given reaction, we could choose a Skyrme force with proper barrier characteristics, not-requiring extra ``barrier lowering" or ``barrier narrowing" for a best fit to data. For the $^{64}$Ni+$^{100}$Mo reaction, the $\ell$-summed Wong formula, with effects of deformations and orientations of nuclei included, fits the fusion-evaporation cross section data exactly for the force GSkI, requiring additional barrier modifications for forces SIII and SV. However, the same for other similar reactions, like $^{58,64}$Ni+$^{58,64}$Ni, fits the data best for SIII force. Hence, the barrier modification effects in $\ell$-summed Wong expression depends on the choice of Skyrme force in extended ETF method.

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Raj Kumar, Raj K. Gupta. 2010-10-16. Barrier modification in sub-barrier fusion reactions using Wong formula with Skyrme forces in semiclassical formalism. https://doi.org/10.1088/1742-6596%2F312%2F8%2F082025

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