A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e<SUP>+</SUP>e<SUP>－</SUP> Collisions

XING Xiu-Wen; ZHONG Wei-Li; LIU Lian-Shou

Chinese Physics C> 2003, Vol. 27> Issue(2) : 95-98

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The anomalous scaling property inside jets produced in e⁺e^－ Collisions at s91.2GeV is studied using Monte Carlo method. A new variable r is applied, which has very good anomalous scaling property. The relation between the scaling indices of different orders is investigated. The Lévy index for the hadronic system inside jets is obtained, which turns out to be μ=2.498±0.025, very close to the same index of hadron-hadron collisions. On the contrary, the Lévy index of e⁺e^－ collisions is 1.701±0.043, being less than 2. Since the multi-hadron production in e⁺e^－ collisions is dominated by hard gluon emission or hard parton branching, while the parton fragmentation into jet, like the multi-production in hadron-hadron collisions, is a soft process, the above results suggest that the value of Lévy index may provide another signal for the qualitative difference between hard and soft processes.

References

[1]

　Hanson G et al.Phys.Rev.Lett.,1975,35:1609 2.　Brandelik R et al(TASSO Coll.).Phys.Lett.,1979,B86:243;Barber D P (Mark J Coll.).Phys.Rev.Lett.,1979,43:830;Berger Ch et al(PLUTO Coll.).Phys.Lett.1979,B86:418;Bartel W et al(JADE Coll.).Phys.Lett.,1980,B91:1423.　LIU LianShou,CHEN Gang,FU JingHua.Phys.Rev.,2001.D63:054002 4.　ZHANG KunShi,YIN JianWu,CHEN Gang et al.HEP NP ,2002,26(2):158(in Chinese);(张昆实,尹建武,陈刚等.高能物理与核物理,2002,26(2):158)ZHANG KunShi,CHEN Gang,YU MeiLing et al.A Monte Carlo Study on the Dynamical Fluctuations in side Quark and Antiquark Jets,HEP ph/02030985.　LIU LianShou.Phase Space Partition in High Energy Collisions,HEP-PH/0204003 6.　Sjstrand,Comp.Phys.Comm.,1992,67:465 7.　Dokshitzer Yu L .JPhys.1991,G17:1537 8.　LIN XiaoYan,LIU LianShou.HEP NP ,2003,27(1):7(in Chinese)(林晓燕,刘连寿.高能物理与核物理,2003,27(1):7) 9.　Dokshitzer Yu L ,Leder G D ,Moretti S et al.JHEP ,1997,08:00110.　Bjorken J D .Geometry of Multihadron Production,Proc. XXIV Intern.Symp.on Multiparticle Dynamics,Vietrisul Mare,1994,eds.A .Giovannini et al.Singapore:World Scientific,1995.579 11.　Seee.g.CHEN Gang,LIU LianShou.A Comparison of Different Methods in the Study of Dynamical Fluctuations in High Energy e+e－Collisions,HEP-PH /0203073(to Appearin Phys.Rev.D) and the Papers Cited Therein 12.　Ochs W .Z .Phys.1991,C50:339;Bial as A ,Gazdzichi M .Phys.Lett.1990,B252:483 13.　Bial as A ,Peschanski R .Nucl.Phys.1986,B273:703;1988,308:857 14.　WU YuanFang,LIU LianShou.Phys.Rev.Lett.,1993,70:319 15.　LeｖｙＰ.J. Math.Pures Appl.,1935,14:347;Braxa Ph et al.Phys.Lett.,1991,B253:315 16.　Agababyan N et al(NA22).Z .Phys.1993,C59:4017.　CHEN Gang,LIU LianShou.A Monte Carlo Study of the Levy Stability and Multifractal Spectrumin e+e－Collisions,HEP-PH /0204148 18.　LIU Feng,LIU FuMing,LIU LianShou.Phys.Rev.,1999,D59:114020

[1]	PEI Guo-Xi , SUN Yao-Lin , LIU Jin-Tong , CHI Yun-Long , LIU Yu-Cheng , LIU Nian-Zong . BEPCⅡ Positron Source. Chinese Physics C, 2006, 30(1): 66-70.
[2]	XU Ming-Mei . A Monte Carlo Study on Event-by-Event Transverse Momentum Fluctuation at RHIC. Chinese Physics C, 2005, 29(9): 892-895.
[3]	KONG Wei , XI Chuan-Ying , YE Bang-Jiao , WENG Hui-Min , ZHOU Xian-Yi , HAN Rong-Dian . Two-Detector Doppler Broadening of Annihilation Radiation in Metals. Chinese Physics C, 2004, 28(11): 1234-1237.
[4]	LIN Xiao-Yan , LIU Lian-Shou . Scale for the Production of Jets in High Energy e⁺e^－ Collisions. Chinese Physics C, 2003, 27(1): 7-11.
[5]	GOU Wei-Ping , PEI Guo-Xi . Design of BEPCⅡ Positron Source. Chinese Physics C, 2002, 26(3): 279-285.
[6]	WANG Shu-Hong , WANG Jiu-Qing , YE Qiang , LE Qi . Minimization of Primary Electron Beam Radius at the Positron Production Target. Chinese Physics C, 2002, 26(12): 1302-1308.
[7]	YIN Jian-Wu , LIU Feng , LIU Lian-Shou . Self-Affine Analysis for the Dynamical Fluctuations inside Jets Produced in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2002, 26(2): 152-157.
[8]	ZHANG Kun-Shi , YIN Jian-Wu , CHEN Gang , LIU Chao , LIU Lian-Shou . Monte Carlo Study for the Dynamical Fluctuations Inside a Single Jet in 2-Jet Events. Chinese Physics C, 2002, 26(2): 158-163.
[9]	ZHANG Kun-Shi , CHEN Gang , YU Mei-Ling , LIU Lian-Shou . Monte Carlo Study on the Properties of Gluon and Quark Jets. Chinese Physics C, 2002, 26(11): 1110-1116.
[10]	GUO Yuan-Yuan , ZENG Jie , YIN Jian-Wu . Monte Carlo Study of the Dynamical Fluctuation Properties inside Jets in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2001, 25(11): 1084-1088.
[11]	LV Yan , YANG Li-Jian , YANG Li-Ping , MAO Tian . Monte Carlo Study of the Properties of Jets in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2001, 25(11): 1077-1083.
[12]	Ju Xin , Peng Liangqiang , Deng Bin , Weng Huimin , Han Rongdian . Study on Lithium Fluoride Cluster-Based Nanophase Films by Low Energy Positron Beam. Chinese Physics C, 1997, 21(9): 844-850.
[13]	Liu Ming , Liu Feng(Y) , Liu Feng , Liu Lianshou . On the Methods of Jet Identification in High Energy Collsions. Chinese Physics C, 1997, 21(2): 138-145.
[14]	Huang Maorong , Wang Yunyu , Yang Juhua , He Yongshu , Guo Yinghuan , Sun Tonghan . Study on InP Doped With Sulphur and Under DifferentTemperatures by Positron Annihilation. Chinese Physics C, 1996, 20(12): 1097-1102.
[15]	WENG Hu-Min , ZHOU Xian-Yi , XU Ji-Hua , SUN Shi-Jun , ZHU Jing-Sheng , WU Shu-Lan , HAN Rong-Dian . Microstructure of A1/GaAs Interface Studied by Slow Positron Beam. Chinese Physics C, 1993, 17(9): 775-783.
[16]	GUO Xue-Zhe , WENG Hui-Min , HAN Rong-Dian . The Observation of Positron Surface State of Germanium. Chinese Physics C, 1992, 16(11): 961-964.
[17]	WU Ji-Min . Electron,Positron Distribution Function. Chinese Physics C, 1992, 16(6): 518-526.
[18]	WANG Shu-Ying , ZHANG Tian-Bao , SHENTU Yan-Min , WANG Hai-Dong , YANG Guang-Min . ON THE NATURE OF THE MEDIUM LIFETIME COMPONENT OF POSITRON ANNIHILATION IN TEFLON POLYMER. Chinese Physics C, 1990, 14(1): 1-7.
[19]	ZHANG Duan-Ming , LI Guo-Yuan , WANG Jian-An , HE Yuan-Jin . POSITRON ANNIHILATION STUDY OF PHASE TRANSITION IN HIGH-TEMPERATURE SUPERCONDUCTOR Y-Ba-Cu-O. Chinese Physics C, 1989, 13(9): 769-771.
[20]	XIONG Xing-Min . A STUDY OF DEFECTS DEFECTS IN GaAs BY POSITRON ANNIHILATION. Chinese Physics C, 1986, 10(4): 459-465.

Access

Get Citation

XING Xiu-Wen, ZHONG Wei-Li and LIU Lian-Shou. A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions[J]. Chinese Physics C, 2003, 27(2): 95-98.

XING Xiu-Wen, ZHONG Wei-Li and LIU Lian-Shou. A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions[J]. Chinese Physics C, 2003, 27(2): 95-98. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-04-25
Revised: 1900-01-01

Article Metric

Article Views(2984)
PDF Downloads(625)
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

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions

Corresponding author: LIU Lian-Shou,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Received Date: 2002-04-25

Accepted Date: 1900-01-01

Available Online: 2003-02-05

Abstract: The anomalous scaling property inside jets produced in e⁺e^－ Collisions at s91.2GeV is studied using Monte Carlo method. A new variable r is applied, which has very good anomalous scaling property. The relation between the scaling indices of different orders is investigated. The Lévy index for the hadronic system inside jets is obtained, which turns out to be μ=2.498±0.025, very close to the same index of hadron-hadron collisions. On the contrary, the Lévy index of e⁺e^－ collisions is 1.701±0.043, being less than 2. Since the multi-hadron production in e⁺e^－ collisions is dominated by hard gluon emission or hard parton branching, while the parton fragmentation into jet, like the multi-production in hadron-hadron collisions, is a soft process, the above results suggest that the value of Lévy index may provide another signal for the qualitative difference between hard and soft processes.

HTML

Reference (1)

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions

Corresponding author: LIU Lian-Shou,

HTML

目录

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions

Corresponding author: LIU Lian-Shou,

HTML

目录

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions