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

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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

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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

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

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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.

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

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

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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