Abstract
Resonance production and decay into pion pairs is simulated in a non-extensive quark matter with multi-particle interactions. Final state pion spectra are found to take the form of the Tsallis distribution, in accordance with measurements. It has also been shown that, if a large number of particles with these multi-particle interactions are constrained to a constant energy hyper-surface in phase space, the one-particle distribution is the Tsallis distribution.
Highlights
Transverse hadron spectra measured in high energy collisions in the last three decades, fit to the Tsallis distribution (TS) (see Refs. [1]-[12] for proton-proton, protonantiproton and nucleus-nucleus (AA) collisions and Refs. [13, 14] for e+e− collisions)
Whenever a system is composed of idependent and identically distributed particles, and the total energy of the system is conserved, the one-particle distribution may be approximated by the canonical distribution in the limit of a large number of particles
The reason for this is that Central Limit Theorems (CLT) do not deal with the issue, whether particles have the same distribution, because they are thermalised, or because they are produced via the same process
Summary
Transverse hadron spectra measured in high energy collisions in the last three decades, fit to the Tsallis distribution (TS) (see Refs. [1]-[12] for proton-proton (pp), protonantiproton (pp) and nucleus-nucleus (AA) collisions and Refs. [13, 14] for e+e− collisions). EPJ Web of Conferences same phase space structure with momentum-space distribution, dF(pi) (in a homogenious, isotropic ensemble dF(pi) ∝ d3pi) In this case the probability that a particle has energy, , while the total energy of the system, E is fixed, is dPN dF(p). In Eq (15), particles are assumed to be non-interacting, the mean energy per particle is set to be E/N, a generalised entropy formula accounts for correlations. Both the Maximum Entropy Principle and the probability theoretical approach are based on finding the minimum of a free energy, there are two main differences between them: 05003-p.2. 1) Behind the Maximum Entropy Principle, there is the assumption of thermal equilibrium, while in the probability theoretical approach, there is no need for such an assumption; 2) In the probability theoretical approach, particles need to be independent, while this is not required in a model based on the Maximum Entropy Principle
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
