MG13 - Talk detail

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Abstract

With the latest sample of $116$ GRBs with measured redshift and spectral parameters, we investigate $6$ 2D correlations and $14$ derived 3D correlations of GRBs to explore the possibility of decreasing the intrinsic scatters of the luminosity relations of GRBs. We find the 3D correlation of $E_{\mathrm{peak}}$--$\tau_{\mathrm{RT}}$--$L$ to be evidently tighter than its corresponding 2D correlations, i.e., the $E_{\mathrm{peak}}$--$L$ and $\tau_{\mathrm{RT}}$--$L$ correlations. In addition, the coefficients before the logarithms of $E_{\mathrm{peak}}$ and $\tau_{\mathrm{RT}}$ in the $E_{\mathrm{peak}}$--$\tau_{\mathrm{RT}}$--$L$ correlation are almost exact opposites of each other. We discuss how our findings can be interpreted/understood in the framework of the definition of the luminosity (energy released in units of time).

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