Towards a standard gamma-ray burst: tight correlations between the prompt and the afterglow plateau phase emission

To find out the astrophysical processes responsible for gamma-ray burst (GRB), it is crucial to discover and understand the relations between their observational properties. This work was performed in the GRB rest frames using a sample of 62 long Swift GRBs with known redshifts. Following the earlier analysis of the correlation between afterglow luminosity (L * a ) and break time (T * a ), we extend it to correlations between the afterglow and the prompt emission GRB physical parameters. We find a tight physical scaling between the mentioned afterglow luminosity L * a and the prompt emission mean luminosity L * p 45 E iso /T * 45 . The distribution, with the Spearman correlation coefficient reaching 0.95 for the most accurately fitted subsample, scales approximately as L * a L * p 0.7 45 . We have also analysed correlations of L * a with several prompt emission parameters, including the isotropic energy E iso and the peak energy in the F spectrum, E peak . As a result, we obtain significant correlations also between these quantities, discovering that the highest correlated GRB subsample in the afterglow analysis leads also to the highest prompt-afterglow correlations. Such events can be considered to form a sample of standard GRBs for astrophysics and cosmology.