Mass bounds on the deformed bosons as dark matter particles

We introduce the deformed boson condensate and argue that its properties are consistent with the properties of the dark matter (DM). For every candidate of DM, the mass bounds evaluation is important. Therefore, the lower and upper bounds of mass are evaluated using the phase space density and observational data for q deformed Bose-Einstein condensate (q-BEC) model. We show that the upper bound of q-BEC and ordinary BEC model is the same, while for small values of q, the lower bound tends to zero which is in favor of the light DM particles.