  In high multiplicity nucleus-nucleus collisions baryon-antibaryon
annihilation and regeneration occur during the final hadronic expansion phase,
thus distorting the initial equilibrium multiplicity ratios. We quantify the
modifications employing the hybrid UrQMD transport model and apply them to the
grand canonical partition functions of the Statistical Hadronization
Model(SHM). We analyze minimum bias and central Pb+Pb collision data at SPS and
LHC energy. We explain the Pion to Proton ratio puzzle. We also reproduce the
deuteron to proton ratio at LHC energy by the SHM, and by UrQMD after attaching
a phase space coalescence process. We discuss the resulting (T,$\mu_{B}$)
diagram.
