A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory

SU Zong-Di; LI Bao-Xian; CAO Tian-Guang; WANG Shu-Nuan; ZHANG Ben-Ai; LIU Jian-Feng; HUANG Zhong-Fu; ZHU Yao-Yin; LI Zhi-Wen

Chinese Physics C> 2003, Vol. 27> Issue(6) : 498-502

A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory

China Institute of Atomic Energy, Beijing 102413,China2 Institute of Applied Physics and Computational Mathematics, Beijing 100088,China3 Department of Physics, Zhengzhou University, Zhengzhou 450004,China4 Department of Physics, Guangxi University, Nanning 530004,China5 Department of Physics, Jilin University, Changchun 130023,China

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Abstract：
The Feshbach-Kerman-Koonin multistep compound theory (MSC)of the pre-equilibrium reaction is further improved and perfected. The nucleon is treated as a spin-half particle, target nucleus is allowed to a non-zero spin and the angular momentum coupling is treated rigorously. The expressions of the double-differential cross section and transition matrix elements are obtained in j-j representation. The strength function of doorway state is replaced by optical model absorption, and the escape width is replaced by decay width of Hauser-Feshbach model (HFM)in the r-space where full equilibrium has been established. A unified expression for MSC of pre-equilibrium reaction and HFM of compound nucleus reaction is presented. This formula can integrate MSC and HFM with the optical model and can give self-consistent and uniform description for nuclear reaction. Some typical data are analyzed by using the work mentioned above. The calculated results are reasonable and in good agreement with the experimental data.

References

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. Griffin J J.Phys.Rev.Lett.,1966,17:478;Phys.Lett.,1967,B24:52. ZHUO Yi-Zhong,SU Zong-Di.Fermi Gas Model of Nuclear Level Density.ed.by Chinese Nuclear Data Center, Collected Works of Nuclear Reaction Theoretical Method sand Applications. Beijing: Atomic Energy Press,1980.292—319(in Chinese)(卓益忠,苏宗涤.核能级密度的费米气模型.中国核数据中心编:核反应理论方法及应用文集.北京:原子能出版社,1980.292—319)3. Agassi D,Weidenmüller H A.Phys.Lett.,1975,B56:305;Phys.Rep.,1975,C22:1474. Nishioka H,Weidenmüller H A,Yoshida S.Ann.Phys.,1988,183:1665. Feshbach H,Kerman A,Koonin S.Ann.Phys.,1980,125:4296. Feshbach H.Ann.Phys.,1985,159:150;1985,164:3987. Tamura T,Udagawa T,Lenske H.Phys.Rev.,1982,C26:3798. Bonetti R,Chadwick M B,Hodgson P E et al.Phys.Rep.,1991,202:1719. SU Zong-Di,LI Bao-Xian.The Development of FKK Multistep Compound Reaction Theory.ed.by Dickens J K.Proc.of Inte.Conf.on Nucl.Data for Science and Technology.Illinois USA :American Nuclear Society 436—43710. SU Zong-Di et al.Atomic Energy Science and Technology,1983,1:10(in Chinese)(苏宗涤等.原子能科学技术,1983,1:10)11. Oblozinsky P.Nucl.Phys.,1986,A453:12712. LI Cha,SU Zong-Di.Chinese J.Nucl.Phys.,1984,6:264(in Chinese)(李茶,苏宗涤.原子核物理,1984,6:264)

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SU Zong-Di, LI Bao-Xian, CAO Tian-Guang, WANG Shu-Nuan, ZHANG Ben-Ai, LIU Jian-Feng, HUANG Zhong-Fu, ZHU Yao-Yin, LI Zhi-Wen and A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory[J]. Chinese Physics C, 2003, 27(6): 498-502.

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Received: 2002-09-03
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

A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory

Corresponding author: SU Zong-Di,

China Institute of Atomic Energy, Beijing 102413,China2 Institute of Applied Physics and Computational Mathematics, Beijing 100088,China3 Department of Physics, Zhengzhou University, Zhengzhou 450004,China4 Department of Physics, Guangxi University, Nanning 530004,China5 Department of Physics, Jilin University, Changchun 130023,China

Received Date: 2002-09-03
Accepted Date: 1900-01-01
Available Online: 2003-06-05

Abstract: The Feshbach-Kerman-Koonin multistep compound theory (MSC)of the pre-equilibrium reaction is further improved and perfected. The nucleon is treated as a spin-half particle, target nucleus is allowed to a non-zero spin and the angular momentum coupling is treated rigorously. The expressions of the double-differential cross section and transition matrix elements are obtained in j-j representation. The strength function of doorway state is replaced by optical model absorption, and the escape width is replaced by decay width of Hauser-Feshbach model (HFM)in the r-space where full equilibrium has been established. A unified expression for MSC of pre-equilibrium reaction and HFM of compound nucleus reaction is presented. This formula can integrate MSC and HFM with the optical model and can give self-consistent and uniform description for nuclear reaction. Some typical data are analyzed by using the work mentioned above. The calculated results are reasonable and in good agreement with the experimental data.