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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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ε<br />

electron spectrum S(E)<br />

1 PMT:<br />

2 PMTs:<br />

3 PMTs:<br />

ε<br />

ε<br />

ε<br />

1<br />

2<br />

=<br />

=<br />

E<br />

max<br />

E<br />

Free parameter model<br />

= −<br />

∫<br />

0<br />

max<br />

∫<br />

0<br />

E<br />

max<br />

T ∫<br />

0<br />

−EQ(<br />

E)/ M<br />

SE ( )(1 e ) dE<br />

S(<br />

E)(<br />

1−<br />

e<br />

S(<br />

E)(<br />

1−<br />

−EQ(<br />

E)<br />

/ 2M<br />

logical sum <strong>of</strong> double coincidences in a system with 3 PMTs:<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 />

e<br />

−EQ(<br />

E)<br />

/ 3<br />

M<br />

)<br />

)<br />

2<br />

3<br />

dE<br />

dE<br />

D =<br />

Emax<br />

∫<br />

0<br />

−EQ( E)/3M2 −EQ(<br />

E)/3M3 SE ( )(3(1 −e) −2(1 −e)<br />

) dE

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