  In the recent second part of the third observation run by the
LIGO-Virgo-KAGRA collaboration, a candidate with sub-solar mass components was
reported, which we labelled as SSM200308. This study investigates the premise
that primordial black holes (PBHs), arising from Gaussian perturbation
collapses, could explain SSM200308. Through Bayesian analysis, we obtain the
primordial curvature power spectrum that leads to the merger rate of PBHs
aligning with observational data as long as they constitute
$3.54^{+7.66}_{-2.82}\times 10^{-3}$ of the dark matter. However, while the
gravitational wave (GW) background from binary PBH mergers is within current
observational limits, the scalar-induced GWs associated with PBH formation
exceed the constraints imposed by pulsar timing arrays, challenging the
Gaussian perturbation collapse PBH model as the source of SSM200308.
