Thermal Fission Rate of a Compound Nucleus at High Temperatures

JIA Ying; LIU Ling; BAO Jing-Dong

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

Abstract
HTML
Reference
Related

PDF

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

[1]	FENG Zhao-Qing , JIN Gen-Ming , FU Fen , LI Jun-Qing . Isotopic Dependence of Production Cross Sections of Superheavy Nuclei in Hot Fusion Reactions. Chinese Physics C, 2007, 31(4): 366-370.
[2]	XU Chang , REN Zhong-Zhou , WANG Zai-Jun . New Formula for Spontaneous Fission Half-lives of Heavy Nuclei. Chinese Physics C, 2005, 29(7): 673-676.
[3]	WANG Li-Min , LI Jia-Rong . Dielectric Properties of Nuclear Matter with the ωNN Interaction at High Temperature. Chinese Physics C, 2004, 28(4): 382-386.
[4]	DUAN Li-Min , WU He-Yu , JIN Gen-Ming , WANG Su-Fang , LI Zu-Yu , WEI Zhi-Yong , ZHANG Bao-Guo , WANG Hong-Wei , XIAO Zhi-Gang , LIU Yong-Ying , HU Pei-Gang , LU Zhao-Hui , TIAN Wen-Dong , GOU Quan-Bu . Excitation Energy and Temperature of Compound Nuclei in the Reaction of 35MeV/u ⁴⁰Ar+¹⁹⁷Au. Chinese Physics C, 2003, 27(2): 118-123.
[5]	JIN Meng , CHEN Ji-Sheng , LI Jia-Rong . A New Phase of Nuclear Matter under the Condition of High Temperature in QHD Model. Chinese Physics C, 2002, 26(5): 516-521.
[6]	Zhu Yabo , Yang Jianjun . Nuclear Gluon Distribution Due to Parton Evolution and Recombination in Nuclear Environment. Chinese Physics C, 1998, 22(4): 341-345.
[7]	Tan Jilian , Zhang Jinxia , Jin Genming , Zhang Huanqiao , Qian Xing , Liu Zuhua , Xu Jincheng . Bi—dimension Position Sensitive Detector Used in the Study of Fusion Fission of Heavy Ions at the Sub—Coulomb Barrier Energy Region. Chinese Physics C, 1997, 21(1): 8-14.
[8]	Song Guang , Sa Benhao , Wang Zhongqi , Lu Zhongdao , Zhang Xiaoze , Zheng Yuming . Strong Stopping of Nuclear System at AGS Energy. Chinese Physics C, 1995, 19(2): 172-177.
[9]	Liu Zuhua , Zhang Huanqiao , Xu Jincheng , Qian Xing , Qiao Yu , Lin Chengjian , Xu Kan . Anomaly Observed in Subbarrier Fusion-Fission Reactions. Chinese Physics C, 1995, 19(7): 585-590.
[10]	ZHANG Huan-Qiao , LIU Zu-Hua , XU Jin-Cheng , RUAN Ming , QIAN Xing , XU Kan , LV Jun . Fission-Fragment Angular Distributions for the ¹⁶O+²³⁸U Near-and Sub-Barrier Fusion-Fission Reaction. Chinese Physics C, 1992, 16(9): 826-831.
[11]	HOU De-Fu , LI Jia-Rong . The Restoration of Symmetry and Plasmon Effects at High Temperature and High Density in the Weinberg-Salam Model. Chinese Physics C, 1991, 15(5): 427-436.
[12]	CHEN Xin-Yi , HU Ji-Min . CALCULATION OF THE EFFECTIVE MOMENT OF INERTIA OF FISSIONING NUCLEI AT SADDLE POINT. Chinese Physics C, 1989, 13(4): 380-383.
[13]	LI Jun-Qing , ZHU Jie-Ding . A CALCULATION OF ISOSPIN DEPENDENT LEVEL WIDTH IN COMPOUND NUCLEUS ³⁰P. Chinese Physics C, 1989, 13(1): 70-74.
[14]	LI Shi-Dong , KUANG Hui-Shun , ZHANG Shu-Fa , XING Jing-Ru , ZHUO Yi-Zhong , WU Xi-Zhen , FENG Ren-Fa . EFFECT OF NUCLEAR VISCOSITY ON FISSION PROCESS. Chinese Physics C, 1989, 13(2): 164-172.
[15]	DAI Guang-Xi , WANG Zheng-Da . THE SHAPE OF FISSION SCISSION POINT. Chinese Physics C, 1985, 9(5): 622-624.
[16]	PAN Ji-Zhi , JIANG Huan-Qing . "ONE, TWO, INFINITY" MODEL FOR PRECOMPOUND REACTION AND NUCLEAR SIZE EFFECT. Chinese Physics C, 1984, 8(1): 99-104.
[17]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[18]	LIU Jian-Feng , HUO Yu-Kun . RADIATIVE CAPTURE IN THE INELASTIC CHANNEL OF THE COMPOUND NUCLEUS. Chinese Physics C, 1983, 7(3): 355-360.
[19]	Wu Xi-zhen , Zhuo Yi-zhong . STUDYING NUCLEAR FISSION RATE FROM THE POINT OF VIEW OF BROWNIAN MOTION. Chinese Physics C, 1980, 4(1): 113-120.
[20]	LIU GOU-XING , WANG ZJO-GOU , YIN SHU-ZHI , HAO BIN-GAN , YUAN SHUANG-GUI , XIA XING-SHUO . ANGULAR DISTRIBUTIONS OF FISSION FRAGMENTS AND THE SHAPES OF THE SADDLE POINT OF COMPOUND NUCLEI. Chinese Physics C, 1978, 2(3): 242-248.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2811)
PDF Downloads(598)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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.