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Geant4 Simulations for the Radon Electric Dipole Moment Search at

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30<br />

25<br />

26.3%<br />

Forward Configur<strong>at</strong>ion<br />

Back Configur<strong>at</strong>ion<br />

Absolute Efficiency (%)<br />

20<br />

15<br />

10<br />

17.5%<br />

9.7%<br />

6.5%<br />

5<br />

0<br />

10 100 1000 10000<br />

γ-ray Energy (keV)<br />

Figure 4.1: <strong>Geant4</strong> gener<strong>at</strong>ed absolute efficiency curve <strong>for</strong> a ring of eight GRIF-<br />

FIN detectors in <strong>the</strong> highest efficiency mode (<strong>for</strong>ward configur<strong>at</strong>ion) and <strong>the</strong> fully<br />

suppressed mode (back configur<strong>at</strong>ion).<br />

due to various components of <strong>the</strong> appar<strong>at</strong>us. Figure 4.3 illustr<strong>at</strong>es <strong>the</strong> decrease in<br />

efficiency with increasing thicknesses of µMetal shielding.<br />

The efficiency of <strong>the</strong> RnEDM experiment is extremely important as it is directly<br />

rel<strong>at</strong>ed to <strong>the</strong> sensitivity of measurement. The precision of <strong>the</strong> EDM measurement<br />

is limited by <strong>the</strong> number of photopeak counts detected. The st<strong>at</strong>istical limit <strong>for</strong> <strong>the</strong><br />

frequency measurement [32], introduced in Section 2.3.5, is<br />

√<br />

δ ∆ω = 2 1<br />

T 2 A 2 (1−B) 2 N , (4.1)<br />

where T 2 is <strong>the</strong> spin-decoherence time, A is <strong>the</strong> analyzing power <strong>for</strong> a measurement<br />

th<strong>at</strong> detects a change of counts ∆N = AN, and B is <strong>the</strong> fraction of N due to<br />

background. The linearity of δ ∆ω (or equivalently σ f ) with T −1<br />

2 and N −1/2 was<br />

studied using <strong>the</strong> <strong>Geant4</strong> simul<strong>at</strong>ions and is discussed in Section 4.2.3.<br />

62

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