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Comparison of the TDCR method and the CIEMAT/NIST method for ...

Comparison of the TDCR method and the CIEMAT/NIST method for ...

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Free parameter model<br />

Basic assumptions:<br />

• Statistical distribution <strong>of</strong> emitted photoelectrons at <strong>the</strong> photo cathode<br />

<strong>of</strong> <strong>the</strong> PMT (e.g. Poisson distribution):<br />

with<br />

P(<br />

x,<br />

m(<br />

E<br />

))<br />

x number <strong>of</strong> electrons<br />

E’ energy deposit in <strong>the</strong> scintillator<br />

m(E’) mean number <strong>of</strong> electrons<br />

• low PMT noise (coincidence circuit)<br />

m(<br />

E<br />

• threshold adjustment (single electron peak)<br />

'<br />

=<br />

) e<br />

x!<br />

x −m(<br />

E<br />

O. Nähle <strong>and</strong> K. Kossert <strong>Comparison</strong> <strong>of</strong> <strong>TDCR</strong> <strong>and</strong> CN <strong>for</strong> β emitters<br />

'<br />

'<br />

)

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