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arXiv · 2412.09234

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

Trambak Bhattacharyya·Maciej Rybczyński·Grzegorz Wilk·Zbigniew Włodarczyk
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Abstract

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.

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Trambak Bhattacharyya, Maciej Rybczyński, Grzegorz Wilk, Zbigniew Włodarczyk. 2025-05-17. A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions. https://doi.org/10.1016/j.physletb.2025.139588

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