Thermal Fission Rate of a Compound Nucleus at High Temperatures

JIA Ying; LIU Ling; BAO Jing-Dong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2003, Vol. 27> Issue(7) : 610-614

Thermal Fission Rate of a Compound Nucleus at High Temperatures

Department of Physics, Beijing Normal University, Beijing 100875, China

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Abstract：
Time-dependent fission rate is calculated numerically by simulating a set of Langevin equations. The results show that in the stationary limit the fission rate does not approach to those based on both Kramers formula with constant mass and modified Kramers formula, whenever the temperature is higher than a half of the fission barrier. Considering coordinate-dependent mass plays an important role in the fission rate, we proposed an effective potential, thus an improved Kramers formula is obtained, which is still valid when the temperature is increased to the same as the barrier height. The present results are in good agreement with the fission rate determined in the scission point by using Langevin simulation.

References

[1]

. Kramers H A.Physica,1940,7:2842. Frobrich P,Tillack G R.Nucl.Phys.,1992,A540:2513. Frobrich P.Nucl.Phys.,1992,A545:87c4. Tillack G R.Phys.Lett.,1992,B278:403 5. Boilley D,Suraud E,Abe Y et al.Nucl.Phys.,1992,A540:18926. BAO J D,ZHUO Y Z,WU X Z.Z.Phys.,1995,A354:2937. BAO J D.Commun.Theor.Phys.,1995,23:4358. BAO J D,ZHUO Y Z,WU X Z.Z.Phys.Lett.,1994,B327:19. Weidenmuller H A,ZHANG J S.J.Stat.Phys.,1984,34:19110. Grabert H,Olschowski P,Weiss U.Phys.Rev.,1987,B36:1931 11. Hanggi P,Talkner P,Brokovec M.Rev.Mod.Phys.,1990,62:25112. Takigawa N,Abe M .Phys.Rev.,1990,C41:10813. Langer J S.Ann.Phys.,1967,41:10814. Callan C G,Coleman S.Phys.Rev.,1981,D16:1762

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JIA Ying, LIU Ling and BAO Jing-Dong. Thermal Fission Rate of a Compound Nucleus at High Temperatures[J]. Chinese Physics C, 2003, 27(7): 610-614.

JIA Ying, LIU Ling and BAO Jing-Dong. Thermal Fission Rate of a Compound Nucleus at High Temperatures[J]. Chinese Physics C, 2003, 27(7): 610-614. shu

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Received: 2002-10-14
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Thermal Fission Rate of a Compound Nucleus at High Temperatures

Corresponding author: BAO Jing-Dong,

Department of Physics, Beijing Normal University, Beijing 100875, China

Received Date: 2002-10-14
Accepted Date: 1900-01-01
Available Online: 2003-07-05

Abstract: Time-dependent fission rate is calculated numerically by simulating a set of Langevin equations. The results show that in the stationary limit the fission rate does not approach to those based on both Kramers formula with constant mass and modified Kramers formula, whenever the temperature is higher than a half of the fission barrier. Considering coordinate-dependent mass plays an important role in the fission rate, we proposed an effective potential, thus an improved Kramers formula is obtained, which is still valid when the temperature is increased to the same as the barrier height. The present results are in good agreement with the fission rate determined in the scission point by using Langevin simulation.