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

[1]

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[2]	ZHANG Zheng-Jun,SHEN Qing-Biao,HAN Yin-Lu,CAI Chong-Hai,SUN Xiu-Quan,HOU Xun. Theoretical Calculations of Microscopic Nuclear Reaction Data for p+²⁰⁹Bi in Energy Region up to 300MeV. Chinese Physics C, 2002, 26(6): 600-606.
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[4]	Wu Yueliang. Supersymmetric Grand Unification Theories and Low Energy Physics Phenomena. Chinese Physics C, 1999, 23(2): 151-154.
[5]	Liu Yaoyang,Sun Lazhen,Jiang Xiangdong. SU(3)_C×SU(2)_I×U(1)_YTheory of Composite Leptons. Chinese Physics C, 1998, 22(11): 996-1003.
[6]	Liu Zuhua,Zhang Huanqiao,Xu Jincheng,Qian Xing,Qiao Yu,Lin Chengjian. Preequilibrium Fission. Chinese Physics C, 1996, 20(2): 107-112.
[7]	CAO Wen-Qiang,CHEN Xing-Qu,WANG Shun-Jin,XU Gong-Ou. MULTI-STEP COMPOUND NUCLEAR REACTIONS WITH GIANT RESONANCES AS DOOR-WAY STATES. Chinese Physics C, 1988, 12(6): 814-821.
[8]	ZHANG Xin-Min. THE THEORY OF GRAND UNIFICATION OF PREON WITH CONFINING WEAK INTERACTION. Chinese Physics C, 1986, 10(2): 186-189.
[9]	WANG Bai-Lu. THE ENERGY SPECTRUM AND WAVEFUNCTION OF NUCLEUS 31Si——A TEST ON THE COMPOSITE PARTICLE REPRESENTATION THEORY. Chinese Physics C, 1986, 10(3): 358-362.
[10]	CHEN Shi-Hao. ELECTRO-WEAK UNIFIED THEORY——A MODEL INSU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[11]	TANG Xue-Tian,LU Zhong-Dao,WANG Shu-Nuan. STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA. Chinese Physics C, 1985, 9(3): 349-355.
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[14]	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.
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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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通讯作者:陈斌, bchen63@163.com

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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.

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

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