  Three possible scenarios of the statistical hadronization model are
reexamined with the use of the $p_{T}$ spectra of the PHENIX and very low
$p_{T}$ PHOBOS measurements at $\sqrt{s_{NN}}=200$ GeV. These scenarios are:
(\textit{a}) full chemical non-equilibrium, (\textit{b}) strangeness chemical
non-equilibrium and (\textit{c}) chemical equilibrium. Fits to the spectra are
done within the Cracow single-freeze-out model, which takes into account both
the expansion and resonance decays. Predictions for spectra of $\phi$,
$K(892)^{\ast 0}$ and $\pi^{0}$ are also given. The global variables like the
transverse energy at midrapidity, the charged particle multiplicity at
midrapidity and the total multiplicity of charged particles are evaluated and
their predicted values agree qualitatively well with the experimental data. The
thorough analysis within this model suggests that the chemical full
non-equilibrium case is the least likely and both other cases are of the
similar likelihood. It is also shown that if the full chemical non-equilibrium
freeze-out took place it could manifest itself in the enhancement of the
$\pi^{0}$-production at very low transverse momenta.
