Abstract
In modern gamma-ray spectroscopy experiments, various shapes and sizes of detectors are being used. In this paper, for the first time in literature, we have used a first principle approach to model composite detector consisting of triangular shaped detector modules, using a probabilistic method similar to our previously published work [JINST 7 (2012) P07006], where the emphasis was on the hexagonal shape of the detector modules. Expressions for the addback factor and peak-to-total ratio have been obtained in terms of the probability of full energy peak absorption of the gamma-ray after single detector interaction and the ratio of covered lateral surface area to total lateral surface area of the composite detector. Our work could provide insight in developing new detectors for gamma-ray spectroscopy.
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