Big Bang nucleosynthesis with a non-Maxwellian distribution

Abstract

The abundances of light elements based on the big bang nucleosynthesis model are calculated using the Tsallis non-extensive statistics. The impact of the variation of the non-extensive parameter $q$ from the unity value is compared to observations and to the abundance yields from the standard big bang model. We find large differences between the reaction rates and the abundance of light elements calculated with the extensive and the non-extensive statistics. We found that the observations are consistent with a non-extensive parameter q = 1 + 0.05 - 0.12, indicating that a large deviation from the Boltzmann-Gibbs statistics (q = 1) is highly unlikely.

12 pages, 13 figures, to be published in the Astrophysical Journal

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• Relativistic Electron Scattering and Big Bang Nucleosynthesis
• On the relative velocity distribution for general statistics and an application to big-bang nucleosynthesis under Tsallis statistics
• Dynamical Screening Effects on Big Bang Nucleosynthesis
• New Thermonuclear Rate of 7Li(d,n)24He relevant to the Cosmological Lithium Problem
• The spectrum of Hawking radiation in Tsallis statistical mechanics
• Cosmological Solutions to the Lithium Problem
• Current Status of Nuclear Physics Research
• Big Bang nucleosynthesis as a probe of new physics
• Simulations of multicomponent relativistic thermalization
• Non-Gaussian Effects of the Saha's Ionization in the Early Universe
• Big Bang nucleosynthesis in a weakly non-ideal plasma
• Cosmological Lithium Problems
• Thermal leptogenesis in nonextensive cosmology
• Distribution function of nuclei from $e^{\pm }$ scattering in the presence of a strong primordial magnetic field
• The Cosmological Lithium Problem Revisited
• Effects of transient non-thermal particles on the big bang nucleosynthesis