Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e+ e- Collisions
CHEN Gang1,2 , LIU Lian-Shou1
1 Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2 Department of Physics, Jingzhou Teacher’s College, Jingzhou 434100
Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e+ e- Collisions
CHEN Gang1,2 ; LIU Lian-Shou1
1 Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2 Department of Physics, Jingzhou Teacher’s College, Jingzhou 434100
关键词 :
13.85.Hd
Abstract : The Lévy stability analysis is carried out for e+ e- collisions at Z0 mass using the Monte Carlo method. The Lévy index μ is found to be μ = 1.701±0.043. The self-similar generalized dimensions D(q) and multi-fractal spectrum f(α) are presented. The Rényi dimension D(q) decreases with increasing q. The self-similar multi-fractal spectrum is a convex curve with a maximum at q = 0, α = 1.169±0.011. The right-hand side of the spectrum, corresponding to negative values of q, is obtained through analytical continuation.
Key words :
13.85.Hd
出版日期: 2002-09-01
:
13.85.Hd
(Inelastic scattering: many-particle final states)
引用本文:
CHEN Gang; LIU Lian-Shou. Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e+ e- Collisions[J]. 中国物理快报, 2002, 19(9): 1271-1273.
CHEN Gang, LIU Lian-Shou. Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e+ e- Collisions. Chin. Phys. Lett., 2002, 19(9): 1271-1273.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2002/V19/I9/1271
[1]
LIU Lian-Shou;FU Jing-Hua. A Comparison of Different Measures for Dynamical Event Mean Transverse Momentum Fluctuation [J]. 中国物理快报, 2004, 21(8): 1467-1470.
[2]
ZHOU Yi-Fei;LIU Qin;TANG Ying;CHENG Chun. Erraticity in Random-Cascading α Model [J]. 中国物理快报, 2001, 18(9): 1179-1182.
[3]
WANG Shao-Shun;WU Chong. Self-Affine Multifractal Spectrum and Levy Stability Index
from NA27 Data [J]. 中国物理快报, 2001, 18(1): 18-20.
[4]
FU Jing-Hua;LIU Lian-Shou. Identification of Colour Reconnection using Factorial Correlator [J]. 中国物理快报, 2000, 17(5): 338-339.
[5]
HU Yuan;YU Mei-ling;LIU Lian-shou. Levy Stability Index from Multifractal Spectrum [J]. 中国物理快报, 1999, 16(8): 553-554.
[6]
WANG Shao-shun;LIU Ran;WANG Zhao-min. Analysis of Multiplicity Fluctuations in pp Collisions at 400 GeV/c by Bunching Parameters [J]. 中国物理快报, 1999, 16(2): 91-92.
[7]
WANG Shao-shun;LI Zu-hao. Cumulant Correlators and Azimuthal Correlations in PP Collisions at 400 GeV/c [J]. 中国物理快报, 1996, 13(4): 253-256.
[8]
LIU Hongping;WU Yuanfang;LIU Lianshou. Predidtion of the Multiplicity Distributions at Tevatron/LHC
Energies and the Approach to Asymptotic KNO Scaling [J]. 中国物理快报, 1995, 12(4): 197-199.
[9]
ZHAO Weiqin;GAO Chongshou;ZHANG Qinghui. Hanbury-Brown-Twiss Correlations for Expanding Hadron Matter [J]. 中国物理快报, 1994, 11(7): 405-408.
[10]
GAO Chongshou;;HE Bin;. Cluster Effect and Intermittency [J]. 中国物理快报, 1994, 11(6): 329-332.
[11]
WANG Shaoshun;ZHANG Jie;XIAO Chenguo;YE Yunxiu;ZHONG Yu. Factorial Cumulant Moments and Short Range Correlation in P-P Collisions at 400GeV/c [J]. 中国物理快报, 1994, 11(11): 657-660.
[12]
YANG Jie*;LIU Lianshou;YANG Zhongle. Dependence of Long Range Correlation on Width of Rapidity Gap in
High Energy Hadron-Hadron Collisions
[J]. 中国物理快报, 1994, 11(10): 601-604.
[13]
HU Yuan;LIU Lianshou. Compensation in Intermittency Strength of the Hard and Soft
Components in Hadron-Hadron Collisions
[J]. 中国物理快报, 1994, 11(10): 597-600.
[14]
WANG Shaoshun;ZHANG Jie;XIAO Chenguo;XIONG Weijun;KOU Jinchun;XIA Xiaojuan;ZHONG Yu
. Split-Bin Correlation Functions for Multi-Particle Processes in PP Collisions at 400 GeV/c [J]. 中国物理快报, 1993, 10(7): 397-400.
[15]
FENG Shengqin;ZHOU Daicui*. New Feature of Long-Range Correlations in Hadron-nucleus
Interactions
[J]. 中国物理快报, 1993, 10(12): 712-715.