English

Big-Bang Nucleosynthesis verifies classical Maxwell-Boltzmann distribution

Cosmology and Nongalactic Astrophysics 2014-08-20 v1 Solar and Stellar Astrophysics Nuclear Theory

Abstract

We provide the most stringent constraint to date on possible deviations from the usually-assumed Maxwell-Boltzmann (MB) velocity distribution for nuclei in the Big-Bang plasma. The impact of non-extensive Tsallis statistics on thermonuclear reaction rates involved in standard models of Big-Bang Nucleosynthesis (BBN) has been investigated. We find that the non-extensive parameter qq may deviate by, at most, δq|\delta q|=6×\times104^{-4} from unity for BBN predictions to be consistent with observed primordial abundances; qq=1 represents the classical Boltzmann-Gibbs statistics. This constraint arises primarily from the {\em super}sensitivity of endothermic rates on the value of qq, which is found for the first time. As such, the implications of non-extensive statistics in other astrophysical environments should be explored. This may offer new insight into the nucleosynthesis of heavy elements.

Keywords

Cite

@article{arxiv.1408.4422,
  title  = {Big-Bang Nucleosynthesis verifies classical Maxwell-Boltzmann distribution},
  author = {S. Q. Hou and J. J. He and A. Parikh and K. Daid and C. Bertulani},
  journal= {arXiv preprint arXiv:1408.4422},
  year   = {2014}
}

Comments

5 pages, 3 figures. arXiv admin note: text overlap with arXiv:1406.4583

R2 v1 2026-06-22T05:33:48.570Z