Disentangling effects of potential shape in the fission rate of heated nuclei

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

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Abstract

We have compared the results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation, there are two of them: the integral rate R_I and its approximation R_O. As the ratio of the fission barrier height B_f to the temperature T reaches 4, any analytical rate is expected to agree with the dynamical quasistationary rate R_D within 2%. The latter has been obtained using numerical modeling with six different potentials. It has been found that the difference between R_O and R_D sometimes exceeds 20%. The features of the potentials used that are responsible for this disagreement are identified and studied. It is demonstrated that it is R _I, not R_O, that meets this expectation regardless of the potential used.

Original language	English
Article number	064606
Journal	Physical Review C - Nuclear Physics
Volume	82
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevC.82.064606
Publication status	Published - 21 Dec 2010

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ASJC Scopus subject areas

Nuclear and High Energy Physics

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Gontchar, I. I., Chushnyakova, M. V., Aktaev, N. E., Litnevsky, A. L., & Pavlova, E. G. (2010). Disentangling effects of potential shape in the fission rate of heated nuclei. Physical Review C - Nuclear Physics, 82(6), [064606]. https://doi.org/10.1103/PhysRevC.82.064606

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abstract = "We have compared the results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation, there are two of them: 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 with the dynamical quasistationary rate RD within 2{\%}. The latter has been obtained using numerical modeling with six different potentials. It has been found that the difference between RO and RD sometimes exceeds 20{\%}. The features of the potentials used that are responsible for this disagreement are identified and studied. It is demonstrated that it is R I, not RO, that meets this expectation regardless of the potential used.",

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AU - Gontchar, I. I.

AU - Chushnyakova, Maria Vladimirovna

AU - Aktaev, N. E.

AU - Litnevsky, A. L.

AU - Pavlova, E. G.

PY - 2010/12/21

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10.1103/PhysRevC.82.064606