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A Measure for Isotropy-Equilibrium Degree of a Multi-Particle System |
LIU Zhi-Qing;LI Run-Ze;XU Ming-Mei;LIU Lian-Shou |
College of Physical Science and Technology, Huazhong Normal University, Wuhan 430079 |
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Cite this article: |
LIU Zhi-Qing, LI Run-Ze, XU Ming-Mei et al 2008 Chin. Phys. Lett. 25 447-450 |
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Abstract Aiming at using sphericity as a tool to study the isotropy-equilibrium property of a multi-particle system, in particular the hadronic final state IFS produced in instanton-induced DIS events, we discuss in detail the dependence of sphericity on multiplicity and the multiplicity distribution, as well as on the isotropy degree of the system. A rotational symmetric model with a fluctuating isotropy-degree is constructed, which can fit the mean and width of sphericity of the Monte Carlo IFS-results simultaneously. The IFS from the Monte Carlo simulation is found to be not ideally isotropic but has a probability of 4.7% to be isotropic within error of 5%. The results provide us a description of how far the IFS departs from equilibrium. The method developed is applicable to any Monte Carlo generated multi-particle system, for which the isotropy-equilibrium property is significant.
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Keywords:
13.85.Hd
13.60.-r
05.10.Ln
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Received: 09 October 2007
Published: 30 January 2008
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PACS: |
13.85.Hd
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(Inelastic scattering: many-particle final states)
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13.60.-r
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(Photon and charged-lepton interactions with hadrons)
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05.10.Ln
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(Monte Carlo methods)
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