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

Lin Hai; Zhang Yang; Liu Lianshou

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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.

[1]	WU Zhen , LI Jun-Li , CHENG Jian-Ping . An Improved Correlated Sampling Method Calculating Correction Factor of Detector. Chinese Physics C, 2006, 30(8): 771-775.
[2]	LIU Jun , SHEN Yang , LUO Xiang-Qian . Parallel Computing of the Ising Model. Chinese Physics C, 2004, 28(2): 122-128.
[3]	HU HongBo , Jason Nielsen . Analytic Confidence Level Calculations Using the Likelihood Ratio and Fourier Transform. Chinese Physics C, 2000, 24(5): 445-450.
[4]	GUO Hua . Nuclear Surface Properties and Spin-Orbit Potential in Modified Derivative Scalar Couplings. Chinese Physics C, 2000, 24(11): 1030-1037.
[5]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[6]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[7]	Ren Xuezao , Chen Ying , Zhu Yunlun . Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[8]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[9]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[10]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[11]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[12]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[13]	Lin Hai , Zhang Yang , Liu Lianshou . Refinement of α-Model and Analytical Calculation of Levy Index. Chinese Physics C, 1994, 18(S3): 275-282.
[14]	YU Ming-Jian , SHEN Jian-Ping , LI Guang-Lie . Improvement of the Parton Evolution Model in the Small x Region. Chinese Physics C, 1993, 17(9): 861-864.
[15]	SONG Yong-Shen , CUI Jian-Ying , YANG Ji-Min , LU Gong-Ru , LIU Wen-Sheng . The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis. Chinese Physics C, 1992, 16(7): 588-595.
[16]	XU Yong-Xing , LIU Zhan-Wen , WEI Bao-Wen . Design Calculation of a Improved ECR Ion Source. Chinese Physics C, 1991, 15(4): 343-348.
[17]	SHEN Qi-Xing , LI Bing-An . πN SCATTERING PHASE SHIFTS IN A MODIFIED SKYRME MODEL. Chinese Physics C, 1989, 13(2): 128-134.
[18]	LI Bing-An , SHEN Qi-Xing . A MODIFIED SKYRME MODEL. Chinese Physics C, 1988, 12(5): 616-621.
[19]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[20]	Yang Ze-sen . IMPROVEMENT OF THE COUPLED CHANNEL OPTICAL MODEL CALCULATION. Chinese Physics C, 1980, 4(3): 374-381.

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(2551)
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.