A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions

It is widely observed that particles produced in high-energy collisions follow a power-law distribution. One such power-law distribution used extensively in the phenomenological studies owes its origin to nonadditive statistics proposed by C. Tsallis. In this article, we derive a novel nonadditive g...

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Bibliographic Details
Main Authors: Trambak Bhattacharyya, Maciej Rybczyński, Grzegorz Wilk, Zbigniew Włodarczyk
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325003491
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Summary:It is widely observed that particles produced in high-energy collisions follow a power-law distribution. One such power-law distribution used extensively in the phenomenological studies owes its origin to nonadditive statistics proposed by C. Tsallis. In this article, we derive a novel nonadditive generalization of the conventional Bose-Einstein distribution using a single-mode harmonic oscillator. The approach taken in this paper eliminates the need of a regularization procedure proposed in previous works. We observe that the spectra of the bosonic particles like the pions and kaons produced in high-energy collisions are well-described by the nonadditive bosonic distribution derived in this paper.
ISSN:0370-2693