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arXiv 1502.01581hep-phnucl-th
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强子横动量谱中的非广延统计效应

Non-extensive statistics effects in transverse momentum spectra of hadrons

A. S. Parvan

摘要:

利用Tsallis分解统计量和Boltzmann-Gibbs统计量的两分量分布,在高能$pp$碰撞中产生的玻色子和费米子的横动量分布的基础上,验证了所识别强子的玻色-爱因斯坦和费米-狄拉克统计量. Tsallis-factorized统计和Boltzmann-Gibbs统计的参数之间的主要差异被确定。Boltzmann-Gibbs统计的结果是合理的,并表明软和硬强子可能产生于动力系统的两个不同的宏观态。结果表明,与两个质子的几何体积相比,在察利斯分解统计中获得的系统体积异常大。给出了巨正则系综中Tsallis统计量的主要公式。

英文摘要:

The Bose-Einstein and Fermi-Dirac statistics of the identified hadrons were verified on the basis of the transverse momentum distributions of bosons and fermions created in the $pp$ collisions at high energies using the Tsallis-factorized statistics and the two-component distributions of the Boltzmann-Gibbs statistics. The main differences between the parameters of the Tsallis-factorized statistics and the Boltzmann-Gibbs statistics were identified. The results of the Boltzmann-Gibbs statistics are reasonable and suggest that the soft and hard hadrons may be produced from the two different macroscopic states of the dynamical system. It was revealed that the volume of the system obtained in the Tsallis-factorized statistics is unusually large in comparison with the geometrical volume of two protons. The main formulas for the Tsallis statistics in the grand canonical ensemble were formulated.

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