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Geant4 Simulations for the Radon Electric Dipole Moment Search at

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Occupied<br />

Orbitals<br />

Fine<br />

Structure<br />

Hyperfine<br />

Structure<br />

Zeeman<br />

Effect<br />

2<br />

P3/2<br />

5p<br />

F = 3<br />

m<br />

+3<br />

F<br />

2<br />

P1/2<br />

F = 2<br />

_<br />

3<br />

_ 2<br />

+ 2<br />

D 1<br />

D 2<br />

F = 3<br />

+ 3<br />

5s<br />

2<br />

S1/2<br />

F = 2<br />

_ 3<br />

_ 2<br />

+ 2<br />

Figure 2.4: Level diagram of 85 Rb (not drawn to scale).<br />

(<strong>the</strong> selection rule <strong>for</strong> this process is ∆m = ±1 or 0 since <strong>the</strong> emitted photon can<br />

have any polariz<strong>at</strong>ion), only <strong>the</strong> m = −1/2 level can absorb <strong>the</strong> incident polarized<br />

photons. The result is th<strong>at</strong> <strong>the</strong> <strong>at</strong>oms become trapped in <strong>the</strong> m = +1/2 ground-st<strong>at</strong>e<br />

level, this process is called “optical pumping” and can produce a very high degree of<br />

polariz<strong>at</strong>ion with almost all <strong>at</strong>oms occupying <strong>the</strong> m = +1/2 magnetic subst<strong>at</strong>e of <strong>the</strong><br />

1S 1/2 ground st<strong>at</strong>e.<br />

N<strong>at</strong>ural rubidium ( 85,87 Rb) vapour will be used in <strong>the</strong> RnEDM experiment to<br />

polarize <strong>the</strong> radon nuclei through spin-exchange collisions. The occupied electronic<br />

orbitals of <strong>the</strong> rubidium <strong>at</strong>om in its ground st<strong>at</strong>e are<br />

1s 2 2s 2 2p 6 3s 2 3p 6 3d 10 4s 2 4p 6 5s .<br />

The first 36 electrons are in closed sub-shells which gives zero total angular momentum.<br />

The valence electron in <strong>the</strong> 5s orbital behaves similarly to <strong>the</strong> above simplified<br />

19

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