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arXiv 0804.0075hep-ph
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尺度体积涨落下微正则围扰中的幂律

Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations

V. V. Begun, M. Gaździcki, M. I. Gorenstein

摘要:

在相对论粒子碰撞的统计模型中引入了体积涨落。采用微正则系综,并假设体积涨落具有特定的标度性质。这导致在p+p相互作用中测量的粒子多重性分布的KNO标度。该模型的一个显著预测是高动量下单粒子动量谱的幂律形式。此外,重粒子的平均多重数也根据幂律作为粒子质量的函数而减小。最后,它表明,动量谱的粒子质量和动量的依赖减少到粒子能量的依赖。这些结果类似于高能粒子碰撞中粒子产生的性质。

英文摘要:

Volume fluctuations are introduced in a statistical modelling of relativistic particle collisions. The micro-canonical ensemble is used, and the volume fluctuations are assumed to have the specific scaling properties. This leads to the KNO scaling of the particle multiplicity distributions as measured in p+p interactions. A striking prediction of the model is a power law form of the single particle momentum spectrum at high momenta. Moreover, the mean multiplicity of heavy particles also decreases as a function of the particle mass according to a power law. Finally, it is shown that the dependence of the momentum spectrum on the particle mass and momentum reduces to the dependence on the particle energy. These results resemble the properties of particle production in collisions of high energy particles.

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