Momentum Distribution and Correlation due to mass difference caused by power-like distribution

Abstract

The momentum distribution and particle correlation due to the mass difference were studied both in the case of the conventional expectation value and in the case of $q$-expectation value, when the momentum distribution is described by a Tsallis distribution with the entropic parameter $q\ge 1$. The magnitude of the momentum distribution for hard modes increases as $q$ increases, and the $q$-dependence of the momentum distribution is quite weak for soft modes. The correlation at $q>1$ is larger than that at $q=1$ for soft modes, while the correlation at $q>1$ is smaller than that at $q=1$ for hard modes. The $q$-dependence of these quantities in the case of $q$-expectation value is weaker than that in the case of the conventional expectation value, respectively.

11 pages, 8 figures

References in corpus (4)

• Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Consistent nonadditive approach and nuclear equation of state
• Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics

Cited by in corpus (4)

• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator