A new three-parameter correlation for gamma-ray bursts with a plateau phase in the afterglow

摘要

Gamma ray bursts (GRBs) have great advantages for their huge burst energies,luminosities and high redshifts in probing the Universe. A few interestingluminosity correlations of GRBs have been used to test cosmology models.Especially, for a subsample of long GRBs with known redshifts and a plateauphase in the afterglow, a correlation between the end time of the plateau phase(in the GRB rest frame) and the corresponding X-ray luminosity has been found.In this paper, we re-analyze the subsample and found that a significantlytighter correlation exists when we add a third parameter, i.e. the isotropic$\gamma$-ray energy release, into the consideration. Additionally, both longand intermediate duration GRBs are consistent with the same three-parametercorrelation equation. It is argued that the new three-parameter correlation isconsistent with the hypothesis that the subsample of GRBs with a plateau phasein the afterglow be associated with the birth of rapidly rotating magnetars,and that the plateau be due to the continuous energy-injection from themagnetar. It is suggested that the newly born millisecond magnetars associatedwith GRBs might provide a good standard candle in the Universe.