Journal of Physical Studies 18(1), Article 1001 [11 pages] (2014) DOI: https://doi.org/10.30970/jps.18.1001 METHOD OF MULTIPLE INTERNAL REFLECTIONS AS TOOL FOR THE STUDY OF PROBABILITIES OF FUSION IN THE TASKS OF THE CAPTURE OF ALPHA-PARTICLES BY NUCLEI S. P. Maydanyuk, S. V. Belchikov Institute for Nuclear Research, Kyiv, UA--03680, Ukraine

The method of multiple internal reflections (MIR) is developed to describe the capture of the $α$-particles by nuclei. On its basis the analysis of the $α$-capture by nuclei $^{40}{\rm Ca}$ and $^{44}{\rm Ca}$ is performed. Some new information about the probabilities of fusion of the $α$-particle with such nuclei is obtained from a comparison of the capture cross-sections calculated by the MIR-approach with using of the method of minimization, with the experimental data. It is shown that the WKB approach gives overestimated values for the fusion probabilities in comparison with the MIR-approach. The found probabilities of fusion indicate that a sharp angular momentum cutoff proposed by Glas and Mosel is a rather rough approximation. In particular, the probabilities of fusion at the first angular momentum values are close to zero, which contradicts the idea of sharp angular momentum cut-off. This testifies to a need to find more realistic approaches for the description of fusion probabilities in capture tasks.

PACS number(s): 03.65.Xp, 21.10.Jx, 25.40.Lw, 24.10.Ht, 21.60.Gx, 27.40.+z

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