What do lattice baryonic susceptibilities tell us about quarks, diquarks, and baryons at T>Tc?

Lattice data on QCD thermodynamics, especially recent study of high order susceptibilities by UK-Bielefeld Collaboration, have provided valuable information about matter properties around and above the critical temperature Tc. In this work we tried to understand what physical picture would explain these numerical data. We found two scenarios which will do it: (i) a quark quasiparticle gas, with the effective mass which is strongly decreasing near the phase boundary into the quark-gluon plasma (QGP) phase; or (ii) a picture including baryons at T>Tc, with the mass rapidly increasing across the phase boundary toward QGP. We further provide several arguments in favor of the latter scenario, one of which is a natural continuity with the baryon gas picture at T<Tc