A novel approach for predicting the response of the spectrometer for INTEGRAL satellite

Abstract

A basic phenomenological approach has been presented in three recent papers (Kshetri R., 2012. JINST 7, P04008; Kshetri R., 2012. JINST 7, P07006; Kshetri R., 2012. JINST 7, P12007) for understanding the operation of encapsulated type composite detectors including the SPI spectrometer. In the present paper, we have considered the fact that the experimental two-fold events between two detectors include the three and higher fold events between the same two detectors. The formalism has been further developed and the peak-to-total ratio of a general composite detector are predicted for energy region with no direct experimental information about them. At 8MeV, the peak-to-total ratio for the SPI spectrometer and a very large detector (comprising of infinite number of single HPGe modules) are found to be 9% and 12%, respectively. The predictions for fold distribution of the SPI spectrometer are found to be in agreement with experimental data. Our formulation does not include ad-hoc fits, but expressions that are justifiable by probability flow arguments. Instead of using an empirical method or simulation, we present a novel approach for calculating the peak-to-total ratio of the SPI spectrometer for high gamma energies.