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

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 T-c. 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 > T-c, 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 < T-c.