  We study condensation behaviors of static scalar fields in the regular
asymptotically AdS reflecting star spacetime. With analytical methods, we
provide upper bounds for the radii of the scalar hairy reflecting stars. Above
the bound, there is no scalar hair theorem for the star. Below the bound, we
numerically obtain charged scalar hairy reflecting star solutions and in
particular, the radii of the hairy stars are discrete, which is similar to
known results in other reflecting object backgrounds. For every set of
parameters, we search for the largest AdS hairy star radius, study effects of
parameters on the largest hairy star radius and also find difference between
properties in this AdS reflecting star background and those in the flat
reflecting star spacetime. Moreover, we show that scalar fields cannot condense
around regular AdS reflecting stars when the star charge is small or the
cosmological constant is negative enough.
