STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

TANG Xue-Tian; LU Zhong-Dao; WANG Shu-Nuan

Chinese Physics C> 1985, Vol. 9> Issue(3) : 349-355

STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

Abstract
HTML
Reference
Related

PDF

Abstract：
It is proved that the contribution to the fluctuation cross sections from the equilibrium stage in all the microscopic theories and phenomenological approaches advanced so far of precompound reactions is given by the conventional Hauser-Feshbach formula, and that the Hauser-Feshbach cross section makes the leading part of the total cross sections. This conclusion is intuitive, and our proof, not like the numerical illustration as some people do in this regard, is thoroughly a theoretical one.

References

[1]

J. J. Griffin, Phys. Rev. Lett., 17(1966), 478;J. J. Griffin, Phys. Rev. Lett., 24B(1967), 5.[2] M. Blann, Ann. Rev. Nucl. Sci., 25 (1971), 123;M. Blann, Phys. Rev. Lett., 27(1971), 337;M. Blann and A. Mignerey, Nucl. Phys., A186 (1972), 245.M. Blann, Nucl. Phys., A213 (1973), 570.[3] C. Mahaux and H. A. Weidenmüller, Ann. Rev. Nucl. Part. Sci., 29(1979), 1.[4] H. A. Weidenmiiller, Preprint: Talk at ANTWERP Conf., 1982.[5] D. Agassi, H. A. Weidenmüller and G. Mantzouranis, Phys. Rep., 22C (1975), 145.[6] H. Feshbach, A. Kerman and S. Koonin, Ann. Phys., 125( 1980), 429.[7] W. A. Friedman, M. S. Hussein, K. W. Mcvoy and P. A. Mello: Phys. Rep., 77(1981), 47.[8] K W. Mcvoy and X. T. Tang, Phys. Rep., 94 (1983), 139.[9] T. Ericson, Phys. Rev. Lett., 5(1960), 430;D. M. Brink and R. O. Stephen, Phys. Lett., 5(1963), 77;T. Ericson, Ann. Phys., (N. Y), 23(1963), 390;T. Erinon and T. Mayer-Kudruk, Ann. Rev. Nucl. Sci., 16(1966), 183.A. Richter, Nuclear Spectroscopy and Reaction, ed. J. Cerny, (Academic Press, New York, 1974).[10] X. T. Tang, Phys. Lett., 104B (1981), 99.[11] X. T. Tang and K W. Mcvoy, Phys. Lett., 121B (1983), 21.[12] J. M. Akkerrnans, H. GruppeIaar and G. Reffo, Phys. Rev., C22(1980), 73.[13] K. W. Mcvoy and X. T. Tang, Phys. Lett., 119B (1982), 1.[14] H. A. Weidenmüller, Progress in Particle and Nuclear Physics, 3(1980), pp. 49-126.

[1]	ZHOU Feng-Qun , LUO Jun-Hua , YI Yan-Ling , TUO Fei , KONG Xiang-Zhong . A General Formula Used to Deduct the Effect of Excited State to Base State Was Deduced in Measurement of Cross Section of Nuclear Reaction. Chinese Physics C, 2005, 29(8): 741-744.
[2]	SU Zong-Di , LI Bao-Xian , CAO Tian-Guang , WANG Shu-Nuan , LIU Jian-Feng , HUANG Zong-Fu , ZHU Yao-Yin , LI Zhi-Wen , ZHANG Ben-Ai , . Transition between P and Q Spaces in Feshbach-Kerman-Koonin Theory. Chinese Physics C, 2005, 29(9): 862-865.
[3]	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 , . A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory. Chinese Physics C, 2003, 27(6): 498-502.
[4]	LIANG Wei-Hong , SHEN Peng-Nian , ZOU Bing-Song . Theoretical Formalism for N* Study via J/ψ→ppω Decay Process. Chinese Physics C, 2002, 26(S1): 93-97.
[5]	GUO Wen-Jun , JIANG Huan-Qing , LIU Jian-Ye . Improved Glauber Theory and the Total Reaction Cross Section of the Nucleus-Nucleus Collision. Chinese Physics C, 2001, 25(11): 1092-1099.
[6]	Fang Deqing , Feng Jun , Shen Wenqing , Cai Xiangzhou , Wang Jiansong , Ye Wei , Ma Yugna . Statistical Abrasion Model Calculation of Isotope Distribution Produced by Intermediate Energy Heavy Ion Reaction. Chinese Physics C, 1999, 23(5): 475-480.
[7]	Liu Zuhua , Zhang Huanqiao , Xu Jincheng , Qian Xing , Qiao Yu , Lin Chengjian . Preequilibrium Fission. Chinese Physics C, 1996, 20(2): 107-112.
[8]	Luo Shuanqun , Wang Zhengxing . Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei. Chinese Physics C, 1995, 19(3): 278-283.
[9]	Zhong Jiquan , Wen Wanxin , Jin Genming , Di Tori . Pre-equilibrium GDR Built on Dinucleus. Chinese Physics C, 1995, 19(12): 1114-1118.
[10]	MIAO Rong-Zhi . A STUDY OF PRE-EQUILIBRIUM EMISSION INVOLVING COMPLEX PROJECTILE AND EMITTED PARTICLE IN MEMORY MODEL. Chinese Physics C, 1989, 13(11): 1039-1048.
[11]	HUO Yu-Kun , YUAN Zhu-Shu , MI Yong , LIU Jian-Feng . STRONG NON-STATISTICAL EFFECT IN (n,γ)REACTIONS FOR LIGHTER NUCLEI. Chinese Physics C, 1989, 13(5): 465-469.
[12]	MIAO Rong-Zhi . A MEMORY PARTICLE MODEL IN STUDY OF PRE-EQUILIBRIUM EMISSION. Chinese Physics C, 1989, 13(10): 942-955.
[13]	MIAO Rong-Zhi , WU Guo-Hua . A STUDY OF COMPLEX PARTICLE EMISSION IN THE PRE-EQUILIBRIUM STATISTICAL MODEL. Chinese Physics C, 1986, 10(1): 82-91.
[14]	FENG Ren-Fa , ZHANG Jing-Shang , MA Zhong-Yu , WU Xi-Zhen , ZHUO Yi-Zhong . DESCRIPTIONS OF THE EQUILIBRATION PROCESS OF THE INTRINSIC DEGREES OF FREEDOM AND DISSIPATIVE PROCESS OF THE NUCLEAR COLLECTIVE MOTION. Chinese Physics C, 1984, 8(3): 361-365.
[15]	WU Chong-Shi , ZENG Jin-Yan . THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI (Ⅰ) THEORETICAL FORMULATION. Chinese Physics C, 1984, 8(2): 219-226.
[16]	WANG CHENG-SHING . NON-EQUILIBRIUM STATISTICAL THEORY OF NUCLEAR FISSION MASS DISTRIBUTION. Chinese Physics C, 1982, 6(2): 219-230.
[17]	ZHOU GUANG-ZHAO , SU ZHAO-BING . RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY. Chinese Physics C, 1979, 3(3): 304-313.
[18]	XU GONG-OU . A STATISTICAL DESCRIPTION OF NUCLEAR REACTION PROCESSES. Chinese Physics C, 1979, 3(4): 459-468.
[19]	SU ZONG-DI , SHI XIANG-JUN , TANG XUE-TIAN , TIAN YE . THE WIDTH FLUCTUATION CORRECTION IN STATISTICAL THEORY OF NUCLEAR REACTIONS. Chinese Physics C, 1979, 3(1): 80-87.
[20]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.

Access

Get Citation

TANG Xue-Tian, LU Zhong-Dao and WANG Shu-Nuan. STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA[J]. Chinese Physics C, 1985, 9(3): 349-355.

TANG Xue-Tian, LU Zhong-Dao and WANG Shu-Nuan. STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA[J]. Chinese Physics C, 1985, 9(3): 349-355. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2127)
PDF Downloads(445)
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

STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

Corresponding author: TANG Xue-Tian,

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1985-06-05

Abstract: It is proved that the contribution to the fluctuation cross sections from the equilibrium stage in all the microscopic theories and phenomenological approaches advanced so far of precompound reactions is given by the conventional Hauser-Feshbach formula, and that the Hauser-Feshbach cross section makes the leading part of the total cross sections. This conclusion is intuitive, and our proof, not like the numerical illustration as some people do in this regard, is thoroughly a theoretical one.

HTML

Reference (1)

STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article