Thermal Fission Rate of a Compound Nucleus at High Temperatures

  • 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.
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  • [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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Thermal Fission Rate of a Compound Nucleus at High Temperatures

    Corresponding author: BAO Jing-Dong,
  • Department of Physics, Beijing Normal University, Beijing 100875, China

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.

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