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Cosmological constraints on generalized Chaplygin gas model: Markov Chain Monte Carlo approach

We use the Markov Chain Monte Carlo method to investigate a global constraints on the generalized Chaplygin gas (GCG) model as the unification of dark matter and dark energy from the latest observational data: the Constitution dataset of type supernovae Ia (SNIa), the observational Hubble data (OHD), the cluster X-ray gas mass fraction, the baryon acoustic oscillation (BAO), and the cosmic microwave background (CMB) data. In a non-flat universe, the constraint results for GCG model are, $Ω_{b}h^{2}=0.0235^{+0.0021}_{-0.0018}$ ($1σ$) $^{+0.0028}_{-0.0022}$ $(2σ)$, $Ω_{k}=0.0035^{+0.0172}_{-0.0182}$ ($1σ$) $^{+0.0226}_{-0.0204}$ $(2σ)$, $A_{s}=0.753^{+0.037}_{-0.035}$ ($1σ$) $^{+0.045}_{-0.044}$ $(2σ)$, $α=0.043^{+0.102}_{-0.106}$ ($1σ$) $^{+0.134}_{-0.117}$ $(2σ)$, and $H_{0}=70.00^{+3.25}_{-2.92}$ ($1σ$) $^{+3.77}_{-3.67}$ $(2σ)$, which is more stringent than the previous results for constraint on GCG model parameters. Furthermore, according to the information criterion, it seems that the current observations much support $Λ$CDM model relative to the GCG model.