2004ApJ...612L.101D

An E_γ, jet_∝E'1.5^_prelationship with a small scatter for current gamma-ray burst (GRB) data was recently reported, where E_γ, jet_ is the beaming-corrected gamma-ray energy and E'_pis the νF_ν peak energy in the local observer frame. By considering this relationship for a sample of 12 GRBs with known redshift, peak energy, and break time of afterglow light curves, we constrain the mass density of the universe and the nature of dark energy. We find that the mass density Ω_M=0.35^+0.15_–0.15 (at the 1 σ confidence level) for a flat universe with a cosmological constant, and the w parameter of an assumed static dark energy equation of state w=-0.84^+0.57_–0.83(1 σ). Our results are consistent with those from Type Ia supernovae. A larger sample established by the upcoming Swift satellite is expected to provide further constraints.