Development of a Liquid Scintillator and of Data ... - Borexino - Infn
Development of a Liquid Scintillator and of Data ... - Borexino - Infn
Development of a Liquid Scintillator and of Data ... - Borexino - Infn
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7 The Source Runs in CTF2<br />
7.4.3 Energy Dependence <strong>of</strong> the Spatial Resolution<br />
The approximation <strong>of</strong> the resolution <strong>of</strong> the spatial reconstruction for a point-like event is given<br />
by<br />
¡Ö Ø<br />
Ô ÒÔ<br />
where is the speed <strong>of</strong> light, Ø is the error <strong>of</strong> one time measurement <strong>and</strong> ÒÔ is the number<br />
<strong>of</strong> measurements (= number <strong>of</strong> detected photons). For beta events the Monte Carlo for CTF<br />
gives an energy dependence <strong>of</strong> the spatial resolution as:<br />
¡Ü<br />
<br />
Ô ÒÔ<br />
For gamma events the situation is more complicated: gammas interact in the scintillator mainly<br />
due to Compton scattering. Thus they deposit energy at various points in the scintillator in a<br />
108<br />
Figure 7.7: The energy dependence <strong>of</strong> the spatial resolution. Shown is a Monte Carlo simulation<br />
for beta <strong>and</strong> gamma events, <strong>and</strong> the data from Bi events from the source run 797. The<br />
simulated resolution for beta events follows the expected dependence on Ô ÒÔ.<br />
Ñ