SIMBAD references

For gamma-ray bursts (GRBs) with a plateau phase in the X-ray afterglow, a so-called L-T-E correlation that tightly connects the isotropic energy of the prompt GRB (E_γ,iso) with the end time of the X-ray plateau (T_a) and the corresponding X-ray luminosity at the end time (L_X) has been found. Here we show that there is a clear redshift evolution in the correlation. Furthermore, because the power-law indices of L_X and E_γ,iso in the correlation function are almost identical, the L-T-E correlation is insensitive to cosmological parameters and cannot be used as a satisfactory standard candle. On the other hand, based on a sample including 121 long GRBs, we establish a new three-parameter correlation that connects L_X, T_a, and the spectral peak energy E_p, i.e., the L-T-E_p correlation. This correlation strongly supports the so-called Combo-relation established by Izzo et al. After correcting for the redshift evolution, we show that the de-evolved L-T-E_p correlation can be used as a standard candle. By using this correlation alone, we are able to constrain the cosmological parameters as Ω_m=0.389_–0.141^+0.202 (1σ) for the flat ΛCDM model, or Ω_m=0.369_–0.191^+0.217 and w=-0.966_–0.678^+0.513 (1σ) for the flat wCDM model. Combining with other cosmological probes, more accurate constraints on the cosmology models are presented.