  We introduce the equilibrium and non-equilibrium statistical hadronization
picture of particle production in ultra-relativistic heavy ion collisions. We
describe the related physical reaction scenarios, and show how these can lead
to quark pair yield non-equilibrium. Using the SHARE1.2 program suite we
quantitatively model particle yields and ratios for RHIC-130 run.
  We study how experimental particle ratios can differentiate between model
scenarios, and discuss in depth the importance of hadronic resonances in
understanding of hadron production processes.
