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Geant4 Simulations for the Radon Electric Dipole Moment Search at

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Table 3.2: X-ray energies and intensities per 100 Fr K-shell vacancies [49]. The total<br />

intensity is 130.42 per 100 K-shell vacancies.<br />

Initial K Shell Vacancy Initial L Shell Vacancy<br />

Final L Shell Vacancy Final M Shell Vacancy<br />

Energy (keV) Intensity (%) Energy (keV) Intensity (%)<br />

86.105 45.8 12.031 14.6<br />

83.231 27.9 11.896 1.63<br />

82.496 0.0675 14.770 9.9<br />

97.474 10.70 14.443 3.74<br />

100.214 4.01 14.978 0.106<br />

96.815 5.58 14.319 0.102<br />

100.548 0.10 14.967 0.683<br />

98.069 0.358 13.877 0.251<br />

100.972 0.84 17.302 2.25<br />

101.118 0.114 17.635 0.038<br />

17.800 0.041<br />

17.839 0.47<br />

13.255 0.247<br />

10.381 0.89<br />

of 223 Rn. An average β asymmetry correl<strong>at</strong>ion coefficient over all branches of 223 Rn<br />

decay has been estim<strong>at</strong>ed as A β ≈ 0.45 [32]. As <strong>the</strong> β particle anisotropies are not<br />

used as a signal in <strong>the</strong> current work, and only have a minor effect associ<strong>at</strong>ed with <strong>the</strong><br />

anisotropyof<strong>the</strong>bremsstrahlung photonsproduced by<strong>the</strong>stopping of<strong>the</strong>β particles,<br />

this average β asymmetry parameter was used <strong>for</strong> all 223 Rn β decay branches in <strong>the</strong><br />

simul<strong>at</strong>ions presented here.<br />

The degree of polariz<strong>at</strong>ion, assuming a spin-temper<strong>at</strong>ure distribution of <strong>the</strong> magnetic<br />

subst<strong>at</strong>es, can be written as [27]<br />

P = eβ −1<br />

e β +1 . (3.9)<br />

where β is <strong>the</strong> spin-temper<strong>at</strong>ure parameter. This parameter is rel<strong>at</strong>ed to <strong>the</strong> r<strong>at</strong>ios<br />

of <strong>the</strong> popul<strong>at</strong>ions of neighbouring magnetic subst<strong>at</strong>es by [27]<br />

e β = ρ m<br />

ρ m−1<br />

. (3.10)<br />

48

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