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

TL;DR

This paper derives a new nonadditive Bose-Einstein distribution using a harmonic oscillator model, providing a better fit for particle spectra in high-energy collisions without requiring regularization.

Contribution

It introduces a novel nonadditive generalization of the Bose-Einstein distribution derived from a harmonic oscillator, simplifying previous regularization methods.

Findings

The new distribution accurately describes pion and kaon spectra.

It eliminates the need for regularization in nonadditive statistical models.

The approach offers a better phenomenological fit for high-energy collision data.

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.