  The eFEDS survey is a proof-of-concept mini-survey designed to demonstrate
the survey science capabilities of SRG/eROSITA. It covers an area of 140 square
degrees where 542 galaxy clusters have been detected out to a redshift of 1.3.
The eFEDS field is partly embedded in the Hyper Suprime-Cam Subaru Strategic
Program (HSC-SSP) S19A data release, which covers 510 square degrees,
containing approximately 36 million galaxies. This galaxy catalogue is used to
construct a sample of 180 shear-selected galaxy clusters. In the common area to
both surveys, about 90 square degrees, we investigate the effects of selection
methods in the galaxy cluster detection by comparing the X-ray selected, eFEDS,
and the shear-selected, HSC-SSP S19A, galaxy cluster samples. There are 25
shear-selected clusters in the eFEDS footprint. The relation between X-ray
bolometric luminosity and weak-lensing mass is investigated, and it is found
that the normalization of the bolometric luminosity and mass relation of the
X-ray selected and shear-selected samples is consistent within $1\sigma$.
Moreover, we found that the dynamical state and merger fraction of the
shear-selected clusters is not different from the X-ray selected ones. Four
shear-selected clusters are undetected in X-rays. A close inspection reveals
that one is the result of projection effects, while the other three have an
X-ray flux below the ultimate eROSITA detection limit. Finally, 43% of the
shear-selected clusters lie in superclusters. Our results indicate that the
scaling relation between X-ray bolometric luminosity and true cluster mass of
the shear-selected cluster sample is consistent with the eFEDS sample. There is
no significant population of X-ray underluminous clusters, indicating that
X-ray selected cluster samples are complete and can be used as an accurate
cosmological probe.
