Axionlike particle inflation and dark matter

In this paper, we propose a generalized natural inflation model to study axionlike particle (ALP) inflation and dark matter. The model contains two additional parameters on (n(1),n(2)) in comparison with the natural inflation model. The n(1) builds the connection with other ALP inflation models, and the n(2) controls the inflaton mass. After considering the cosmic microwave background and other cosmological observation limits, the model can realize small-field inflation with a wide mass range, and the axionlike particle inflaton considered here can serve as the dark matter candidate for certain parameter spaces.