MainPage:Nuclear:KaonDetector:Calculations:ExpectedSignals

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Expected signal from the Kaon Aerogel Detector

A first estimative of the signal expected from the Kaon Aerogel Cerenkov Detector was performed based on papers about similar detectors already constructed in the past. For the calculation presented in this section, the following paper was the main basis:

• I. Adachi et al., Study of a Threshold Cherenkov Counter Based on Silica Aerogels with Low Refractive Indeces, ???

In this paper, a formula for the estimation of the expected number of photoelectrons (npe) detected by the PMTs of the detector is given by

npe = C * (1 - (1/n^2)*(1+m^2/p^2)),

where n is the refractive index of the aerogel, m is the mass of the particle passing through the detector, p is the momentum of this particle and C is a constant related to parameters of the detector (geometry, light collection efficiency, PMT quantum efficiency, ...).

As this is a first estimative, we kept the parameter C as given by the paper. The constants used in this calculations are:

• C = 311.10
• m_Pion = 139.570
• m_Kaon = 493.667
• m_Proton = 938.272

IMPORTANT: there is a scale factor then to the actual npe expected in the Kaon Aerogel Detector, once we did not calculated/estimated this constant for our detector yet.