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Finite difference refinement of a quasi-classical approximation for the decay of α-particles, protons, and clusters

  • Proceedings of the International Conference “Nuclei-2013: Fundamental Problems and Applications of Nuclei Physics” (LXIII International Meeting on Nuclear Spectroscopy and the Structure of Atomic Nuclei)
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The error of a quasi-classical approximation is estimated by calculating the barrier factor for α-particles and the half-life periods of nuclei. A finite difference approach to calculating the energy and wave functions of the quasi-stationary states of α-particles and heavy clusters with very narrow energy levels and long half-lives is proposed. The probability of α-particle formation in even-even isotopes of uranium is calculated using a model that includes a cluster’s surface area.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. V. Samarin

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  1. V. V. Samarin
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Correspondence to V. V. Samarin.

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Original Russian Text © V.V. Samarin, 2014, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2014, Vol. 78, No. 11, pp. 1388–1395.

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Samarin, V.V. Finite difference refinement of a quasi-classical approximation for the decay of α-particles, protons, and clusters. Bull. Russ. Acad. Sci. Phys. 78, 1124–1130 (2014). https://doi.org/10.3103/S1062873814110239

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  • DOI: https://doi.org/10.3103/S1062873814110239

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