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We study the possibility to use the Cherenkov light for the efficientdetection of 511 keV photons with the goal to use it in TOF-PET. We designedand tested two detection modules consisting of PbF$_2$ crystals attached toPlanacon MCP-PMT XP85012. Amplified PMT signals are digitized by the SAMPICmodule with high readout rate, up to $10^5$ events/s, and a negligiblecontribution to the time resolution, below 20 ps (FWHM). We developed a fast 2Dscanning system to calibrate the PMT time response and studied in details thetiming characteristics of the Planacon PMT. Using a radioactive $^{22}$Nasource we measured a detection efficiency of 24% for 511 keV photons in a 10 mmthick crystal and a coincidence resolving time of 280 ps. We analyzed the mainfactors limiting the time resolution of the large-surface detection module andproposed solutions to improve it, which will be tested in our future project.

Fast and Efficient Detection of 511 keV Photons using Cherenkov Light in PbF$_2$ Crystal coupled to a MCP-PMT and SAMPIC Digitization Module