Abstract

The correct statistics of the shape fluctuations in charge clouds diffusing in drift detectors is developed under the hypothesis of fixed number of signal electrons. Its consequences on the precision of time and amplitude measurements are examined and compared with the classical Poisson treatment. It is shown that the time resolution remains the same, while the amplitude resolution can be more or less affected, depending on the relative values of the widths of signal pulse and filter weighting function. The well-known global fluctuations of released charges due to a single spectral line as well as electronic noises are easily composed with the calculated contribution due to the shape fluctuations.

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