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

2024/12/12 by Trambak Bhattacharyya, Bhattacharyya, Trambak, M. Rybczyński +5 · 3 citations
Earth and Planetary Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #FOS: Physical sciences #Financial Risk and Volatility Modeling #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Precipitation Measurement and Analysis #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2412.09234

openalex publication_date 2024/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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