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We present the statistics of the ratio, ${\mathrm R}$, between the prompt andafterglow "plateau" fluxes of GRB. This we define as the ratio between the meanprompt energy flux in the {\em Swift} BAT and the {\em Swift} XRT, immediatelyfollowing the steep transition between these two states and the beginning ofthe afterglow stage referred to as the "plateau". Like the distribution ofother GRB observables, the histogram of ${\mathrm R}$ is close to log-normal,with maximum at ${\mathrm R = R}_{\rm m} \simeq 2,000$, FWHM of about 2 decadesand with the entire distribution spanning about 6 decades in the value of${\mathrm R}$. We note that the peak of the distribution is close to theproton-to-electron mass ratio $({\mathrm R}_{\rm m} \simeq m_p/m_e = 1836)$, asproposed by us earlier, on the basis of a specific model for the conversion ofthe GRB blast wave kinetic energy into radiation, before any similar analysiswere made. It therefore appears that, in addition to the values of the energyof peak luminosity ${E_{\rm pk}\sim m_{e} c^2}$, GRB present us with one morequantity with an apparently characteristic value. The fact that the values ofboth these quantities (i.e. $E_{\rm pk}$ and ${\mathrm R}$) comply with thoseimplied by the same specific model devised to account for an altogetherdifferent issue, namely the efficient conversion of the GRB blast wave kineticenergy into radiation, argues favorably for its underlying assumptions.

The Statistics of the Prompt-to-Afterglow GRB Flux Ratios and the Supercritical Pile GRB Model