Primordial lithium abundance problem of BBN and baryonic density in the universe

TL;DR

This paper investigates the primordial lithium abundance problem in Big Bang nucleosynthesis by updating reaction rates and parameters, reducing the theoretical $^7$Li abundance discrepancy by about 12%.

Contribution

It introduces recent neutron lifetime and baryon-to-photon ratio values, and modifies key nuclear reaction rates affecting $^7$Li production in BBN.

Findings

Reduced $^7$Li abundance by approximately 12%.

Updated reaction rates influence primordial element predictions.

Addresses the lithium problem in standard BBN models.

Abstract

Prediction of the primordial abundances of elements in the big-bang nucleosynthesis (BBN) is one of the three strong evidences for the big bang model. Precise knowledge of the baryon-to-photon ratio of the Universe from observations of the anisotropies of cosmic microwave background radiation has made the Standard BBN a parameter-free theory. Although, there is a good agreement over a range of nine orders of magnitude between abundances of light elements deduced from observations and calculated in primordial nucleosynthesis, there remains a yet-unexplained discrepancy of $^7$Li abundance higher by a factor of $\sim 3$ when calculated theoretically. The primordial abundances depend on the astrophysical nuclear reaction rates and on three additional parameters, the number of light neutrino flavours, the neutron lifetime and the baryon-to-photon ratio in the universe. The effect of the modification of thirty-five reaction rates on light element abundance yields in BBN was investigated earlier by us. In the present work we have incorporated the most recent values of neutron lifetime and the baryon-to-photon ratio and further modified $^3$He($^4$He,$\gamma$)$^7$Be reaction rate which is used directly for estimating the formation of $^7$Li as a result of $\beta^+$ decay as well as the reaction rates for t($^4$He,$\gamma$)$^7$Li and d($^4$He,$\gamma$)$^6$Li. We find that these modifications reduce the theoretically calculated abundance of $^7$Li by $\sim 12\%$.