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In two recent papers (R. Kshetri, JINST 2012 7 P04008; ibid., P07006), aprobabilistic formalism was introduced to predict the response of encapsulatedtype composite germanium detectors like the SPI (spectrometer for INTEGRALsatellite). Predictions for the peak-to-total and peak-to-background ratios aregiven at 1.3 MeV for the addback mode of operation. The application of theformalism to clover germanium detector is discussed in two separate papers (R.Kshetri, JINST 2012 7 P07008; ibid., P08015). Using the basic approachdeveloped in those papers, for the first time we present a procedure forcalculating the peak-to-total ratio of the cluster detector for gamma-energiesup to 8 MeV. Results are shown for both bare and suppressed detectors as wellas for the single crystal and addback modes of operation. We have consideredthe experimental data of (i) peak-to-total ratio at 1.3 MeV, and (ii) singledetector efficiency and addback factor for other energies up to 8 MeV. Usingthis data, an approximate method of calculating the peak-to-total ratio ofother composite detectors, is shown. Experimental validation of our approach(for energies up to 8 MeV) has been confirmed considering the data of the SPIspectrometer. We have discussed about comparisons between various modes ofoperation and suppression cases. The present paper is the fifth in the seriesof papers on composite germanium detectors and for the first time discussesabout the change in fold distribution and peak-to-total ratio for sophisticateddetectors consisting of several modules of miniball, cluster and SPI detectors.Our work could provide a guidance in designing new composite detectors and inperforming experimental studies with the existing detectors for high energygamma-rays.

From a single encapsulated detector to the spectrometer for INTEGRAL satellite: predicting the peak-to-total ratio at high gamma-energies