A first principle approach for studying module-wise absorptions and scatterings of a well-type composite detector

We have investigated the operation of a composite detector comprising of elements arranged in the shape of a well. A probabilistic formalism is introduced in terms of only one probability amplitude. Considering up to four detector hit events, gamma-ray absorptions and gamma-ray scatterings both inside and outside the composite detector are studied. Our results show that there are three groups of modules based on the values of the peak-to-background ratio of a module.