The pion-less effective field theory has been used to study the 3H(α, γ)7Li reaction using the Faddeev equation procedure. This reaction is the seventh interaction in the Big Bang Nucleosynthesis (BBN) model which has a golden role in the estimating of 7Li abundance in the universe, and answering the ”cosmological lithium problem”. In this work the astrophysical s-factor of the 3H(α, γ)7Li reaction has been calculated for the dominant electrical E1 transition from the s and p-wave initial states to the final ground state of 7Li at the astrophysical range of E ≤ 1.5 MeV.
