Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/<i>c</i> pp Collisions

Wang Shaoshun; Zhang Jie; Ye Yunxiu; Xiao Chenguo

Chinese Physics C> 1997, Vol. 21> Issue(S4) : 1-10

Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions

Department of Modem Physics, University of Science and Technology of China, Hefei, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The method of factorial moments F_q of continuous order suggested by Hwa has been tested. It was found that using this method to analyze the experimental data will not produce satisfactory results. Some improvements were made for Hwa，s method，making it suitable for multifractal analysis of experimental data. The analytic results for the experimental pseudorapidity distributions of charged particles produced in 400 GeV/c pp collisions indicated that the method of the factorial moments of continuous order is feasible. There is possibly multifractal behavior in the process of multiplicity production in pp collisions at 400 GeV/c.
- factorial moments of continuous order ,
- negative binomial distribution ,
- maximum likelihood function method ,
- multifractal behavior

[1]	Sihan Zhang , Xiaobin Wang , Tao Lin , Lei Chang . Reconstructing parton distribution function based on maximum entropy method. Chinese Physics C, 2024, 48(3): 033106. doi: 10.1088/1674-1137/ad1b3d
[2]	Li-Zhu Chen , Ye-Yin Zhao , Jin Wu , Zhi-Ming Li , Yuan-Fang Wu . The sixth order cumulant of net-proton number in Binomial distribution at $ {\sqrt{{\boldsymbol s}_{\boldsymbol{NN}}}}$ = 200 GeV. Chinese Physics C, 2021, 45(10): 104103. doi: 10.1088/1674-1137/ac1b98
[3]	Xin-Xing Shi , Quan Liu , Min Shi , Zhong-Zhou Ren . Resonances with triaxial deformation in the complex scaled Green's function method. Chinese Physics C, 2018, 42(11): 114105. doi: 10.1088/1674-1137/42/11/114105
[4]	Chengdong Han , Qiang Fu , Xurong Chen . Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections. Chinese Physics C, 2018, 42(10): 103103. doi: 10.1088/1674-1137/42/10/103103
[5]	Cheng-Dong Han , Xu-Rong Chen . Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method. Chinese Physics C, 2017, 41(11): 113103. doi: 10.1088/1674-1137/41/11/113103
[6]	Xue Pan , Li-Zhu Chen , Yuan-Fang Wu . Behavior and finite-size effects of the sixth order cumulant in the three-dimensional Ising universality class. Chinese Physics C, 2016, 40(9): 093104. doi: 10.1088/1674-1137/40/9/093104
[7]	Guang-Lei Li , Chun-Bin Yang . Effect of long-range correlation on scaling behavior of normalized factorial moments for the first-order phase transition. Chinese Physics C, 2016, 40(1): 014102. doi: 10.1088/1674-1137/40/1/014102
[8]	A. Mirjalili , K. Keshavarzian . Meson polarized distribution function and mass dependence ofthe nucleon parton densities. Chinese Physics C, 2014, 38(8): 083101. doi: 10.1088/1674-1137/38/8/083101
[9]	LI Zhe , TUO Xian-Guo , YANG Jian-Bo , LIU Ming-Zhe , CHENG Yi , WANG Lei . Statistical distribution based detector response function ofSi (PIN) detector for K_α and K_β X-ray. Chinese Physics C, 2013, 37(1): 018202. doi: 10.1088/1674-1137/37/1/018202
[10]	CHEN Li-Zhu , PAN Xue , CHEN Xiao-Song , WU Yuan-Fang . Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class. Chinese Physics C, 2012, 36(8): 727-732. doi: 10.1088/1674-1137/36/8/008
[11]	ZHANG Feng , GAO Yuan-Ning , HUO Lei . A viable method for goodness-of-fit test in maximum likelihood fit. Chinese Physics C, 2011, 35(6): 580-584. doi: 10.1088/1674-1137/35/6/014
[12]	DAI Qiu-Sheng , ZHAO Cui-Lan , ZHANG Hua-Lin , QI Yu-Jin . Investigation of high resolution compact gamma camera module based on a continuous scintillation crystal using a novel charge division readout method. Chinese Physics C, 2010, 34(8): 1148-1152. doi: 10.1088/1674-1137/34/8/021
[13]	ZHAO Xiao-Song , LV Jian-Qin . Comparison of the PIC model and the Lie algebraic method in the simulation of intense continuous beam transport. Chinese Physics C, 2009, 33(S2): 125-127. doi: 10.1088/1674-1137/33/S2/032
[14]	YU Mei-Ling , XU Ming-Mei , LIU Zheng-You , LIU Lian-Shou . Critical behavior of a dynamical percolation model. Chinese Physics C, 2009, 33(7): 552-556. doi: 10.1088/1674-1137/33/7/009
[15]	FU Yao , FANG De-Qing , MA Yu-Gang , CAI Xiang-Zhou , GUO Wei , MA Chun-Wang , TIAN Wen-Dong , WANG Hong-Wei , WANG Kun . Isoscaling behavior studied by HIPSE model. Chinese Physics C, 2009, 33(S1): 126-129. doi: 10.1088/1674-1137/33/S1/040
[16]	WANG Zhen-Tian , HUANG Zhi-Feng , ZHANG Li , KANG Ke-Jun , CHEN Zhi-Qiang , ZHU Pei-Ping . Preliminary attempt on maximum likelihood tomosynthesis reconstruction of DEI data. Chinese Physics C, 2009, 33(11): 981-985. doi: 10.1088/1674-1137/33/11/010
[17]	Wang Shaoshun , Zhang Jie , Ye Yunxiu , Xiao Chenguo . Factorial Moments Continuous Order and Multifractal Analysisin 400GeV/c pp Collisions. Chinese Physics C, 1997, 21(9): 769-776.
[18]	Wang Shaoshun , Zhang Jie , Xiao Chenguo , Ye Yunxiu , Zhong Yu . Multiparticle Correlations, Factorial Cumulant Moments, and Correlation Integrals in pp Collisions at 400 GeV/c. Chinese Physics C, 1995, 19(S2): 133-142.
[19]	Chen Tingyang . Application of Maximum Likelihood Method in Reconstruction of Charged Particle Tracks. Chinese Physics C, 1994, 18(Z1): 9-18.
[20]	Wu Yuanfang , Liu Lianshou . Two Normalization Schemes of Factorial Moments in High Energy Collisions and the Dependence of Intermittency Indices on Average Transverse Momentum. Chinese Physics C, 1992, 16(S1): 83-89.

Access

Get Citation

Wang Shaoshun, Zhang Jie, Ye Yunxiu and Xiao Chenguo. Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions[J]. Chinese Physics C, 1997, 21(S4): 1-10.

Wang Shaoshun, Zhang Jie, Ye Yunxiu and Xiao Chenguo. Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions[J]. Chinese Physics C, 1997, 21(S4): 1-10. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1996-09-06

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(391)
PDF Downloads(3)
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

Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions

Department of Modem Physics, University of Science and Technology of China, Hefei, China

Received Date: 1996-09-06

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: The method of factorial moments F_q of continuous order suggested by Hwa has been tested. It was found that using this method to analyze the experimental data will not produce satisfactory results. Some improvements were made for Hwa，s method，making it suitable for multifractal analysis of experimental data. The analytic results for the experimental pseudorapidity distributions of charged particles produced in 400 GeV/c pp collisions indicated that the method of the factorial moments of continuous order is feasible. There is possibly multifractal behavior in the process of multiplicity production in pp collisions at 400 GeV/c.

Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions

Abstract：

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Factorial Moments of Continuous Order and Multifractal Analysis in 400 GeV/c pp Collisions

HTML

目录