ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE

FENG Ren-Fa; ZHUO Yi-Zhong; LI Jun-Qing

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(4) : 453-460

ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE

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Abstract：
Based on an analysis of Kramers' stationary solution, by means of the analytical solution of the Fokker-Planck equation in a harmonical potential, we propose a simple model for the calculation of the fission rates. As an example we compute the time evolution of the fission widths of Pu²⁴⁰ for various finite friction values and compoared our results with the corresponding ones based on Kramers' formula for a large and small frictions and the transition state method.

References

[1]

H. A. Kramers, Physica, 7 (1940), 284.[2] S. Chandrasekhar, Rev. Mod. Phys., 15 (1943), I.[3] P. Grange, H. C. Pauli and H. A. Weidenmuller, Phys. Lett., 88B (1979), 9; Z. Physik, A296(1980), 107.[4] K.Pomorski and H. Hofrnann, J. Physique, 42 (1981), 381.[5] J. R. Nix and A. Sierk, to be published.[6] F. Scheuter and H. Hofrnann, to be published.[7] H. Hofrnann and J. R. Nix, to be published.[8] 吴锡真等, “高能物理与核物理”待发表.[9] 吴锡真, 卓益忠, “高能物理与核物理”, 4(1980),113.[10] 卓益忠, J. R. Nix 的私人通讯[11] P. B. Visscher, Phys. Rev., B Vol. 13(1976),3272; Vol. 14(1976),347.

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[20]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.

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FENG Ren-Fa, ZHUO Yi-Zhong and LI Jun-Qing. ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE[J]. Chinese Physics C, 1984, 8(4): 453-460.

FENG Ren-Fa, ZHUO Yi-Zhong and LI Jun-Qing. ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE[J]. Chinese Physics C, 1984, 8(4): 453-460. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE

Corresponding author: FENG Ren-Fa,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: Based on an analysis of Kramers' stationary solution, by means of the analytical solution of the Fokker-Planck equation in a harmonical potential, we propose a simple model for the calculation of the fission rates. As an example we compute the time evolution of the fission widths of Pu²⁴⁰ for various finite friction values and compoared our results with the corresponding ones based on Kramers' formula for a large and small frictions and the transition state method.