  We investigate the invariant mass distributions of $B_s\pi$ via different
rescattering processes. Because the triangle singularity (TS) could be present
for a very broad incident energy region, it can be expected that the TS peaks
may simulate the resonance-like bump $X(5568)$ observed by the D0
collaboration. The highly process-dependent characteristic of TS mechanism
offers a criterion to distinguish it from other dynamic mechanisms.
