Abstract
Motivated by the various shapes and configurations of detectors used in modern gamma arrays, for the first time in literature, we have investigated the operation of a composite detector comprising of elements arranged in the shape of a pyramid. A probabilistic formalism is introduced to predict the response of two, three and four level pyramid shaped composite detector in terms of only one probability amplitude. Considering up to four detector hit events, expressions for the addback factor and the peak-to-total ratio have been obtained. The general trend of predicted values of the addback factor, the peak-to-total ratio and the fold distribution match with the available experimental data for other composite detectors. Our novel phenomenological approach could provide a guidance in designing new detectors for gamma-ray spectroscopy.
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