  In this paper, we study the recently proposed Schwarzschild acoustic black
hole spacetime, in which we investigate some physical phenomena related to the
effective geometry of this background, including the analogous Hawking
radiation and the quasibound states. We calculate the spectrum of quasibound
state frequencies and the wave functions on the Schwarzschild acoustic
background by using the polynomial condition of the general Heun function, and
then we discuss the stability of the system. We also compare the resonant
frequencies of the Schwarzschild acoustic black hole with the ones by the
standard Schwarzschild black hole. Our results may shed some light on the
physics of black holes and their analog models in condensed matter. Moreover,
these studies could provide the possibility, in principle, for laboratory
testing of effects whose nature is unquestionably associated with purely
quantum effects in gravity.
