Big bang nucleosynthesis (BBN) is one of the three key pieces of evidence of the hot big bang model, providing a robust tool in order to probe the physics of the early Universe. Theoretical calculations of light element abundances (namely, D,4He, and 7Li) in the standard BBN (SBBN) model are well characterized. In this talk, I will focus on our recent study of non-SBBN models, one model is the study of the effects from inhomogeneous primordial magnetic field on the BBN, the other one is the non-thermal nuclear reactions triggered by primordial black holes’ radiation. In both cases, the cosmic lithium problem, i.e., the problem that SBBN prediction of the primordial 7Li abundance is 4 times higher than the observations, can be alleviated by those non-standard models.
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