PreprintCC BY 4.0arXiv
From Harmonic Oscillators to Multiplicity Distributions in Particle Production Processes
Abstract
We propose an oscillator framework of studying multi-particle production processes using the information theory approach. For a system of degenerate oscillators, we derive the negative binomial distribution (NBD) and its nonadditive generalization represented as gNBD. We observe that gNBD derived from nonadditive statistics describes data in higher multiplicity region, thereby providing an alternative for the multi-component distributions used in phenomenological studies. We also generalize our framework for non-degenerate oscillators and encounter a Lerch-type generalization of the Barnes zeta function that, to the best of our knowledge, has not been studied in the context of nonadditive statistics and multiplicity studies before.
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BibTeX
@misc{bhattacharyya2026from,
title = {{From Harmonic Oscillators to Multiplicity Distributions in Particle Production Processes}},
author = {Trambak Bhattacharyya and Maciej Rybczyński and Zbigniew Włodarczyk},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27955},
eprint = {2610.27955},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27955},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - From Harmonic Oscillators to Multiplicity Distributions in Particle Production Processes
AU - Trambak Bhattacharyya
AU - Maciej Rybczyński
AU - Zbigniew Włodarczyk
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27955
UR - https://arxiv.org/abs/2610.27955
AB - We propose an oscillator framework of studying multi-particle production processes using the information theory approach. For a system of degenerate oscillators, we derive the negative binomial distribution (NBD) and its nonadditive generalization represented as gNBD. We observe that gNBD derived from nonadditive statistics describes data in higher multiplicity region, thereby providing an alternative for the multi-component distributions used in phenomenological studies. We also generalize our framework for non-degenerate oscillators and encounter a Lerch-type generalization of the Barnes zeta function that, to the best of our knowledge, has not been studied in the context of nonadditive statistics and multiplicity studies before.
ER -