The Refinement of α Model and the Analytical Calculation of Levy Exponent

Lin Hai; Zhang Yang; Liu Lianshou

Chinese Physics C> 1994, Vol. 18> Issue(9) : 858-864

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Institute of Particle Physics, Huazhong Normal University, Wuhan 430070

Abstract
HTML
Reference
Related

PDF

Abstract：
In order to investigate the intermittency behaviour in high energy collisions using the Levy stability theory, it is necessary to develop a method for the analytical calculation of Levy exponent. In view of this, the random cascading αmodel is refined to make the expression of the probability ω of elementary division linear.Using this model, the Levy exponent is calculated analytically. The results are consistent with the theoretical prediction. The analytical expression for the moments of ω is obtained. In order to compare the present model with the original one, the MC simulation is done for both models, and the intermittency indices are calculated,showing that both models are practical and reliable.

References

[1]

E.A.De Wolf,I.M.Dremin and W.Kittel,Scaling Laws for Density Correlations and Fluctuationsin Multiparticle Dynamics.HEN-326（1993）,IIHE-93.01,FIAN/TD-09/93.[2]A.Bialas and R.Peschanski,Nucl.Phys.,B308（1988）857.[3]J.M.Alberty and A.Bialas,Z.Phys.,C50（1991）315.[4]Ph.Brax and R.Peschanski,Phys.Lett,B253（1991）225.[5]J.P.Bouchaud and A.Georges,Phys.Rep,195（1990）127;B.V.Gnedenko and A.N.Kolmogorov,Limit Distributions for Sums of Independent Random Variables（Addison Wesley,Reading,MA,1954）.[6]吴元芳、张昆实、刘连寿，科学通报，36（1991）21.[7]Wu.Yuanfang and Liu lianshou,Phys.Rev.lett,70（1993）3197.[8]A.Bialas and R.Peschanski,Nucl.Phys,B273（1986）703.[9]W.Ochs,Phys.Lett,B247（1990）101.[10]N.Schmitz,in Proc.XXI Int.Symp.on Multiparticle Dynamics.Wuhan,China,1991,Eds.Y.F.Wu and L.S.Liu（WorldSientific,Singapore1992）p.377.

Access

Get Citation

Lin Hai, Zhang Yang and Liu Lianshou. The Refinement of α Model and the Analytical Calculation of Levy Exponent[J]. Chinese Physics C, 1994, 18(9): 858-864.

Lin Hai, Zhang Yang and Liu Lianshou. The Refinement of α Model and the Analytical Calculation of Levy Exponent[J]. Chinese Physics C, 1994, 18(9): 858-864. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3006)
PDF Downloads(507)
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

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Corresponding author: Lin Hai,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-09-05

Abstract: In order to investigate the intermittency behaviour in high energy collisions using the Levy stability theory, it is necessary to develop a method for the analytical calculation of Levy exponent. In view of this, the random cascading αmodel is refined to make the expression of the probability ω of elementary division linear.Using this model, the Levy exponent is calculated analytically. The results are consistent with the theoretical prediction. The analytical expression for the moments of ω is obtained. In order to compare the present model with the original one, the MC simulation is done for both models, and the intermittency indices are calculated,showing that both models are practical and reliable.

HTML

Reference (1)

Link: IOPScience; SCOAP³; arXiv; Chinese Physical Society

Journal information: Introduction; Editorial Board; Others; Subscribe

Contact us: QQ: 1307685413; Tel: +86-010-88235947; Fax: +86-010-88233126; E-mail: cpc@ihep.ac.cn

CPC Website
IOP Website
CPC WeChat

Supported by: Beijing Renhe Information Technology Co. Ltd E-mail: info@rhhz.net

DownLoad: Full-Size Img PowerPoint

Return

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

The Refinement of α Model and the Analytical Calculation of Levy Exponent

Corresponding author: Lin Hai,

HTML

目录

[1]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[2]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[3]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[4]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[5]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[6]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.