Shannon entropy for pp collisions at RHIC and LHC energies

We present an analysis of the transverse momentum spectra using thermal and hypergeometric confluent $U$ functions, derived from the Schwinger mechanism convoluted with Gaussian and $q$-Gaussian string tension fluctuations, respectively. We investigate the statistical information of charged particles’ invariant yield by analyzing experimental data from minimum-bias pp collisions reported by the RHIC and LHC experiments. Our computations of the Shannon entropy reveal that the heavy tail of the spectrum contributes significantly to the monotonically increasing behavior in entropy as a function of center-of-mass energy.

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Publication Details

Published
2024-12-17
DOI
https://doi.org/10.22323/1.476.0577
Primary Topic
High-Energy Particle Collisions Research
Type
article
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article

Shannon entropy for pp collisions at RHIC and LHC energies

Diana Rosales Herrera, A. Fernández Téllez, Jesus Ricardo Alvarado Garcia, Jhony Eredi Ramírez Cancino
High-Energy Particle Collisions Research
article

Shannon entropy for pp collisions at RHIC and LHC energies

Diana Rosales Herrera, A. Fernández Téllez, Jesus Ricardo Alvarado Garcia, Jhony Eredi Ramírez Cancino
article en

Abstract

We present an analysis of the transverse momentum spectra using thermal and hypergeometric confluent $U$ functions, derived from the Schwinger mechanism convoluted with Gaussian and $q$-Gaussian string tension fluctuations, respectively. We investigate the statistical information of charged particles’ invariant yield by analyzing experimental data from minimum-bias pp collisions reported by the RHIC and LHC experiments. Our computations of the Shannon entropy reveal that the heavy tail of the spectrum contributes significantly to the monotonically increasing behavior in entropy as a function of center-of-mass energy.

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