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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

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