Abstract

In some applications of fast slow coincidence circuits the random coincidence rate is not small compared with the true coincidence rate. In such cases it is usually necessary to correct for random coincidences. The random coincidence rate is considered as consisting of four parts, the first part corresponding to three randomly coincident pulses at the inputs of the slow triple coincidence circuit, the other parts corresponding to the three possibilities of true coincidences between two pulses at two inputs randomly coincident with a pulse on the third input of the slow circuit. The four parts can be determined separately either by calculating using measured coincidence resolving times, or by counting with delay lines before the inputs of the slow coincidence circuit. The determination of random coincidences only by using a delaying cable before one input of the fast, coincidence circuit does not appear appropriate.

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