The wavelength shifter absorbs the first fluorescence emitted by the scintillator and emits a second fluorescence with a longer wavelength. Since the probability of converting the first fluorescence into the second one is less than 100%, the number of photons is reduced; however, the amount of signal increases because the wavelength of the second photon is more effectively sensed by the photodetector.
Wavelength shifters also have self-absorption and re-emission, so if too much is added, the number of second photons will decrease and the amount of signal will decrease. Whether 1/10 is optimal depends on the degree of overlap between the emission and absorption spectra of the scintillator and wavelength shifter, respectively. The balance is considered.
@Kengo Shibuya Thanks for your answer. self absorption will be important paramter..
What I was thinking that primary fluor concentration is kept high to allow beta/gamma radiation interaction with primary flurophore rather with secondary.