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Generalized nonextensive power-law transverse momentum spectra and their applications in high-energy collision physics

Project description

Increasing our understanding of QGP and hadron spectra

Quark-gluon plasma (QGP), formed in high-energy collision events, is a unique state of matter that has attracted growing interest from researchers. It is of particular interest to those working in the fields of theoretical, experimental and phenomenological studies on hadron production in QGP experiments. The hadron transverse momentum spectra generated in these collisions exhibit non-extensive behaviour, which can be analysed using statistical mechanics. The EU-funded GLITTER project aims to develop analytical non-extensive models to reduce computation times and streamline research. This will provide more precise and up-to-date insights into QGP properties, enhancing our understanding of non-extensive distributions.

Objective

High energy collision events (proton-proton, lead-lead etc.) create the quark-gluon plasma (QGP), a state of matter in which the micro-second old universe existed. Distribution of particles created in these events help understand the properties of QGP. Experiments (e.g. the LHC at CERN) have given rise to many theoretical and phenomenological studies attempting to describe particle (hadron) production, which follows a power-law distribution, using statistical models. Hadron spectra generated in high-energy collisions are described by nonextensive distributions in the transverse momentum space represented by two parameters, the nonextensivity parameter q and temperature T. The nonextensive distributions approach the Boltzmann-Gibbs distributions in the limit q approaching 1. The nonextensive distributions, widely used in the phenomenological studies, can be calculated from statistical mechanics using constrained maximization of a generalized nonextensive entropy. The project GLITTER concentrates on these distributions and is divided into two parts: theory and phenomenology. In the theory part, the analytical form of the most generalized nonextensive transverse momentum spectra without an existing procedural arbitrariness will be calculated using nonextensive statistical mechanics for a simple harmonic oscillator. Also, a nonextensive model for an anisotropic medium will be proposed for arbitrary energy using the Mellin-Barnes representation. In the second part, phenomenological implications of these models will be explored using the ROOT programs that will be set up using the expertise of the supervisor's group. The project will propose analytical nonextensive models generalizing existing results and leading to reduced computation time. It will also clear the ambiguity regarding the usage of various forms of nonextensive distributions, will offer a firm basis for the studies in the field, and will generate many updated information about the properties of QGP.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-WIDERA-2022-TALENTS-04

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Coordinator

UNIWERSYTET JANA KOCHANOWSKIEGO W KIELCACH
Net EU contribution
€ 155 793,60
Address
ULICA ZEROMSKIEGO 5
25-369 KIELCE
Poland
Region
Makroregion centralny Świętokrzyskie Kielecki
Activity type
Higher or Secondary Education Establishments
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Total cost
No data