A Characteristic Value for the BAT / XRT- plateau Flux Ratio in GRB?

We present the statistics of the ratio, $R$, between the prompt and afterglow ``plateau" fluxes of GRB. This we define as the ratio between the mean prompt energy flux in {\em Swift} BAT and the {\em Swift} XRT one, immediately following the steep transition between these two states and the beginning of the afterglow stage referred to as the ``plateau.'' Like the distribution of many other GRB observables, the histogram of $R$ is log-normal with maximum at a value $R_m \simeq 2,000$, FWHM of about 2 decades and with the entire distribution spanning about 5 decades in the value of $R$. We note that the peak of the distribution is close to the proton-to-electron mass ratio $(R_m \simeq m_p/m_e = 1836)$, as proposed to be the case in an earlier publication, on the basis of a specific model of the GRB dissipation process. It therefore appears that, in addition to the values of the energy of peak luminosity $\mathbf{E_{p}\sim m_{e} c^2}$, GRB present us with one more quantity with an apparent characteristic value. The fact that the values of both these quantities ($E_p$ and $R$) are consistent with the same specific model invoked to account for the efficient conversion of their relativistic proton energies to electrons, argues favorably for its underlying assumptions.