How much accurate is description of nuclear fission rate by means of Kramer's formula?

I. I. Gontchar, E. G. Pavlova, A. L. Litnevsky, N. E. Aktaev

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    3 Citations (Scopus)

    Abstract

    We compare results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation these are two: the integral rate RI and its approximation RO. As the ratio of the fission barrier height Bf to the temperature T reaches 4, any analytical rate is expected to agree to the dynamical quasistationary value RD within 2 %. We performed modeling using four different potentials and found that the difference between the RO and the RD sometimes exceeds 20 %. Such discrepancy is not acceptable nowadays because it is comparable to the quantum, non-markovian and multidimensional effects. The features of the potentials used which cause this disagreement are identified and studied. It is demonstrated that this is the RI, not the RO, which meets the expectation above irrespectively of the shape of potential.

    Original languageEnglish
    Title of host publication3rd International Conference on Current Problems in Nuclear Physics and Atomic Energy, NPAE 2010 - Proceedings
    PublisherKiev Institute for Nuclear Research,KINR
    Pages46-50
    Number of pages5
    Publication statusPublished - 2011
    Event3rd International Conference on Current Problems in Nuclear Physics and Atomic Energy, NPAE 2010 - Kyiv, Ukraine
    Duration: 7 Jun 201012 Jun 2010

    Other

    Other3rd International Conference on Current Problems in Nuclear Physics and Atomic Energy, NPAE 2010
    CountryUkraine
    CityKyiv
    Period7.6.1012.6.10

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Atomic and Molecular Physics, and Optics

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  • Cite this

    Gontchar, I. I., Pavlova, E. G., Litnevsky, A. L., & Aktaev, N. E. (2011). How much accurate is description of nuclear fission rate by means of Kramer's formula? In 3rd International Conference on Current Problems in Nuclear Physics and Atomic Energy, NPAE 2010 - Proceedings (pp. 46-50). Kiev Institute for Nuclear Research,KINR.