Covariance Propagation in R-Matrix Model Fitting

CHEN Zhen-Peng; SUN Ye-Ying; ZHANG Rui; LIU Ting-Jin

Chinese Physics C> 2004, Vol. 28> Issue(1) : 42-47

Covariance Propagation in R-Matrix Model Fitting

Department of Physics,Tsinghua University,Beijing 100084,China2 China Nuclear Data Center,Beijing 102413,China

Abstract
HTML
Reference
Related

PDF

Abstract：
This work is done for improving the current international standard cross section of nuclear reaction. The features of covariance propagation in R-matrix model fitting for ⁷Li,¹¹B and ¹⁶O systems are researched systematically with Code RAC, and the results about propagation of non-diagonal elements of covariance matrix are presented. It is found that in R-matrix model fitting, short-energy-range parameters result in relatively smaller covariance propagation coefficient (CPC), medium and long-energy-range parameters produce relatively larger CPC. Especially the medium-energy-range component of systematic error plays very important role in propagation of covariance. In the evaluation procedure of nuclear data both long-energy-range component (LERC) and medium-energy-range component (MERC) of systematic error should be considered in experimental data-base file. Furthermore, these conclusions are suitable for the similar model fitting in other science fields.

References

[1]

.Carlson A D,Muir D W,Pronyaev V G.2001,IAEA,INDC (NDS)24252.ZHANG Feng,KONG Xiang-Zhong.High Energy Phys.and Nucl.Phys.,2003,27 (1):28 (in Chinese)(张锋,孔祥忠.高能物理与核物理,2003,27(1):28)3.CHEN Zhen-Peng,ZHANG Rui,SUN Ye2Ying et al.Science in China,2003,G46(3):2554.Smith D L.Probability.Statistics and Data Uncertainties in NuclearScience and Technology,American Nuclear Society,Inc.1991,229 —2325.CHEN Zhen-Peng,SUN Ye-Ying.IAEA,2003,INDC(NDS)2438:626.Lane A M,Thomas R G.Reviews of Modern Physics,1958,30 (2):257

[1]	WENG Yao , HU Hai-Ming , WANG Jun . Form Factor Fit for e⁺e^－→π⁺π^－π⁺π^－. Chinese Physics C, 2007, 31(5): 419-422.
[2]	HU Ze-Hua , SUN Wei-Li , TIAN Dong-Feng , ZHANG Ben-Ai . Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model. Chinese Physics C, 2007, 31(2): 155-161.
[3]	WANG Ju-Xia , YANG Zhi-Yong , AN Yu-Ying . Quantum Information Transfer in the Process of Coupled Atoms Interacting with Cavity Fields. Chinese Physics C, 2007, 31(2): 204-208.
[4]	XING Zhi-Zhong , ZHOU Shun . Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?. Chinese Physics C, 2006, 30(9): 828-832.
[5]	LI Jia-Xing , WANG Jian-Song , GUO Zhong-Yan , XIAO Guo-Qing , ZHAN Wen-Long , SUN Zhi-Yu , WANG Meng , HU Zheng-Guo , CHEN Li-Xin , LI Chen , MAO Rui-Shi . Fitting the Data of Exotic Structural Nuclear Total Reaction Cross Section with a Corrected Glauber Model. Chinese Physics C, 2004, 28(10): 1050-1054.
[6]	MO Xiao-Hu , ZHU Yong-Sheng . Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment. Chinese Physics C, 2003, 27(6): 474-478.
[7]	WANG MeiXu , YANG WenLi , HOU BoYu . Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones. Chinese Physics C, 2000, 24(4): 300-305.
[8]	Huang Mei , Zhuang Pengfei , Zhao Weiqin . External Momentum Expansion in NJL Model. Chinese Physics C, 1999, 23(9): 926-930.
[9]	Zhen Yi , Yang Wenli , Hou Boyu , Chen Kai . Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model. Chinese Physics C, 1999, 23(9): 854-858.
[10]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Zⁿ Belavin Model. Chinese Physics C, 1996, 20(9): 794-800.
[11]	Jiang Zhijin , Wang Taijie , Huang Tao . Primary Vertex Fitting in BES. Chinese Physics C, 1995, 19(1): 1-7.
[12]	Wang Yanshen , Hou Boyu . The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(10): 892-901.
[13]	Li Yinwan , Zeng Qi , Hou Boyuan . Complete Integrable O(3)-σModel and r,s-Matrices. Chinese Physics C, 1994, 18(6): 518-524.
[14]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[15]	LIU Chun , XING Zhi-Zhong . Hadronic Matrix Elements in the Cornell Potential Model. Chinese Physics C, 1991, 15(11): 997-1000.
[16]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . EXPLICIT EXPRESSIONS OF FUSION AND BRAID MATRICES IN UNITARY MINIMAL MODEL. Chinese Physics C, 1990, 14(9): 802-809.
[17]	REN Zhong-Zhou , XU Gong-Ou . ALPHA-CORRELATION IN A SINGLE-LEVEL MODEL. Chinese Physics C, 1988, 12(1): 116-122.
[18]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[19]	SU Jun-Chen , WU Shi-Shu . GORDON DECOMPOSITIONS FOR γ-TYPE MATRICES AND SOME OF THEIR APPLICATIONS. Chinese Physics C, 1987, 11(5): 644-652.
[20]	ZOU Bing-Song , JIANG Huan-Qing . DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL. Chinese Physics C, 1987, 11(2): 218-225.

Access

Get Citation

CHEN Zhen-Peng, SUN Ye-Ying, ZHANG Rui and LIU Ting-Jin. Covariance Propagation in R-Matrix Model Fitting[J]. Chinese Physics C, 2004, 28(1): 42-47.

CHEN Zhen-Peng, SUN Ye-Ying, ZHANG Rui and LIU Ting-Jin. Covariance Propagation in R-Matrix Model Fitting[J]. Chinese Physics C, 2004, 28(1): 42-47. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-05-26
Revised: 1900-01-01

Article Metric

Article Views(3302)
PDF Downloads(593)
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

Covariance Propagation in R-Matrix Model Fitting

Corresponding author: CHEN Zhen-Peng,

Department of Physics,Tsinghua University,Beijing 100084,China2 China Nuclear Data Center,Beijing 102413,China

Received Date: 2003-05-26
Accepted Date: 1900-01-01
Available Online: 2004-01-05

Abstract: This work is done for improving the current international standard cross section of nuclear reaction. The features of covariance propagation in R-matrix model fitting for ⁷Li,¹¹B and ¹⁶O systems are researched systematically with Code RAC, and the results about propagation of non-diagonal elements of covariance matrix are presented. It is found that in R-matrix model fitting, short-energy-range parameters result in relatively smaller covariance propagation coefficient (CPC), medium and long-energy-range parameters produce relatively larger CPC. Especially the medium-energy-range component of systematic error plays very important role in propagation of covariance. In the evaluation procedure of nuclear data both long-energy-range component (LERC) and medium-energy-range component (MERC) of systematic error should be considered in experimental data-base file. Furthermore, these conclusions are suitable for the similar model fitting in other science fields.