Cosmological constraints on Λ(α)CDM models with time-varying fine structure constant

We study the Λ(α)CDM models with Λ(α) being a function of the time-varying fine structure constant α. We give a close look at the constraints on two specific Λ(α)CDM models with one and two model parameters, respectively, based on the cosmological observational measurements along with 313 data points for the time-varying α. We find that the model parameters are constrained to be around 10−4, which are similar to the results discussed previously but more accurately.