  The role of baryon models played in hydrodynamic simulations is still
unclear. Future surveys that use cluster statistics to precisely constrain
cosmology models require a better understanding of that. With the
hydro-simulated galaxy clusters from different baryon models (Gadget-MUSIC,
Gadget-X and Gizmo-SIMBA) from the THREEHUNDRED project, we can look into more
details of this question. We find that the galaxy cluster mass change due to
different baryon models is at a few per cent level. However, the mass changes
can be positive or negative, which is depending on the baryon models. Such a
small mass change leaves a weak influence (slightly larger compared to the mass
changes) on both the cumulative halo numbers and the differential halo mass
function (HMF) above the mass completeness. Agreed to the halo mass change, the
halo mass (or HMF) can be increased or decreased with respect to the
dark-matter-only (DMO) run depending on the baryon models.
