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

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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

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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

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Received: 1996-09-06

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Supported by the National Natural Science Foundation of China.

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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.