A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913854012784640 |
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| author | Bhattacharyya, Trambak Rybczyński, Maciej Wilk, Grzegorz Włodarczyk, Zbigniew |
| author_facet | Bhattacharyya, Trambak Rybczyński, Maciej Wilk, Grzegorz Włodarczyk, Zbigniew |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_09234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions Bhattacharyya, Trambak Rybczyński, Maciej Wilk, Grzegorz Włodarczyk, Zbigniew High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory 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. |
| title | A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2412.09234 |