Abstract
A semi-analytical algorithm to evaluate the spectrum of beta-particle emitters in liquid scintillator counting systems is proposed. The spectrum of energy deposited into the scintillator is evaluated from the theoretical Fermi spectrum. The overall efficiency of the system to convert the deposited energy into useful photoelectrons which reach the first dynode of the photomultiplier tubes is determined from the ionization quenching function and the figure of merit of the scintillator-photocathode system. The statistical fluctuations in the photomultiplier amplification are described through a gamma distribution with its mean and variance expressed in terms of three parameters that completely characterize the photomultiplier. A closed formula to compute the collected spectrum for a counting system with two photomultiplier tubes working in coincidence is derived. Numerical results are compared with experimental measurements for two different beta-particle emitters.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
