In this article, we compiled a comprehensive source for distinguishing dark matter based on the evidence of a strong CP violation. Here, we arelate the study of axion particles (mA) with early history of universe and put some experimental constraints on axion mass mA, from different experimental evidences. In our calculation the axion mass (mA) is quite effcient for the relic density of cool dark matter and touch the solution of white dwarfs cooling Issue.