Production of super-heavy nuclei in hot-fusion reactions

V. Yu. Denisov

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arXiv · 2312.17084

Production of super-heavy nuclei in hot-fusion reactions

V. Yu. Denisov

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Abstract

A model for hot-fusion reactions leading to the synthesis of super-heavy nuclei is discussed. The values of the hot-fusion cross-sections obtained in the model agree with the available experimental data. The hot-fusion cross-sections are found for two different models of the fission barrier heights of super-heavy nuclei. The calculations of the cross-sections for the various hot-fusion reactions leading to the 119 and 120 elements are presented. Simple expressions useful for qualitative analysis of the cross-section for forming super-heavy nuclei are obtained. It is shown that the super-heavy nuclei production cross section is proportional to the transmission coefficient of the capture barrier, realization probability of the $xn$-evaporation channel, and exponentially depends on the quasi-elastic barrier, fusion reaction Q-value, compound nucleus formation barrier, neutron separation energies, and fission barrier heights.

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V. Yu. Denisov. 2023-12-28. Production of super-heavy nuclei in hot-fusion reactions. https://arxiv.org/abs/2312.17084

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