Exactly solvable model for the time response function of RPCs

The fluctuation theory for the growth of several avalanches is briefly summarized and extended to include the case of electronegative gas mixtures. Based on such physical picture, the intrinsic time response function of an RPC can be calculated in a closed form and its average and rms extracted from series representations. The corresponding timing resolution, expressed in units of 1 / ( ( α - η ) v d ) , is a universal function of the mean number of “effective” clusters n 0 reduced by electron attachment: n 0 ( 1 - η / α ) . A comparison to a few selected good-quality experimental data is attempted for the timing resolution of both 1-gap and 4-gaps RPCs, finding a reasonable agreement.