Geant4 Simulations for the Radon Electric Dipole Moment Search at

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2.003 2.002 Weighted Average: 2.00000(8) Hz 2 χ red = 1.869 2.001 Frequency (Hz) 2.000 1.999 1.998 1.997 1.996 0 100 200 300 400 500 600 700 800 γ-ray Energy (keV) Figure 4.9: The resulting frequency from the weighted average of 20 precession frequency fits for various photopeaks. The fits were generated from the data set present in Figure 4.4 for two anti-parallel GRIFFIN detectors. EDM measurement using Equation 2.17. The sensitivity is given by, σ d = π 2E σ f . (4.3) Givenanelectricfieldof5kV/cmandσ f = 0.0002Hzwefindasensitivity intheEDM measurement of 4.14×10 −23 ecm for two anti-parallel GRIFFIN detectors, detecting the 416 keV γ-ray from the decay of 1.2×10 9 223 Rn nuclei with a spin-depolarization time of 15 seconds. This fitting process was repeated for every significant photopeak which produced a frequency signal in the 223 Rn decay. The weighted averaged of these measurements is given in Figure 4.9. The weighting function used was w i = 1 σ 2 i , (4.4) 72
Table 4.1: The fit results for the 416 keV γ-ray M1 transition given in Figure 4.8 Description Parameter Fixed/Free Value Half-life A 1 Fixed 1458 sec Primary Intensity A 2 Free 46921(98) counts/sec Polarization Intensity A 3 Free −2816(170) counts/sec Depolarization Time A 4 Free 16.7(5) sec Precession Frequency A 5 Free 1.9999(2) Hz Phase A 6 Free 4.71(2) rad 1st Signal Intensity A 7 Free 8422(157) counts/sec 2nd Signal Intensity A 8 Free 160(107) counts/sec 3rd Signal Intensity A 9 Free 117(112) counts/sec 4th Signal Intensity A 10 Free 264(120) counts/sec 5th Signal Intensity A 11 Free −153(131) counts/sec 6th Signal Intensity A 12 Free 216(148) counts/sec 7th Signal Intensity A 13 Free −259(177) counts/sec 10th Signal Intensity A 16 Free −683(366) counts/sec 11th Signal Intensity A 17 Free −720(575) counts/sec where the average is given by, ¯x = ∑ n i=1 (x i/σ 2 i) ∑ n i=1 (1/σ2 i ) , (4.5) and its variance is given by, σ 2¯x = 1 ∑ n i=1 (1/σ2 i ) . (4.6) The resulting sensitivity for 20different γ-raysis 1.65×10 −23 ecm fortwo anti-parallel GRIFFIN detectors and a spin-depolarization time of 15 seconds. This accounts for a total of approximately 13 million counts in two anti-parallel GRIFFIN detectors. The RnEDM experiment is planned to run for a total of 100 days, which gives an estimate of 1×10 12 photopeak counts in our GRIFFIN detectors [32], and is expected to achieve a spin-depolarization time of at least 30 seconds. Section 4.2.3 calculates the achievable sensitivity for 100 days of counting. 73
Page 1 and 2:
GEANT4 SIMULATIONS FOR THE RADON EL
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Dictated but not read. i
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Contents Acknowledgements ii 1 Intr
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4 Results 60 4.1 γ-Ray Spectroscop
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List of Figures 1.1 An illustration
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Chapter 1 Introduction Thesearchfor
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ˆP ր ˆT ց Figure 1.1: An illust
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1.1.1 CP Violation Following the ob
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Figure 1.2: Experimental upper limi
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Figure 1.3: Illustration of the dou
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Chapter 2 RnEDM Experiment at TRIUM
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Figure 2.1: A schematic of the ISAC
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a measurement cell. The RnEDM exper
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NMR techniques, and supplementing s
Page 29 and 30:
Occupied Orbitals Fine Structure Hy
Page 31 and 32: energy levels are separated accordi
Page 33 and 34: (σ + ) along the axis of the B fie
Page 35 and 36: atom and absorbed by another. Radia
Page 37 and 38: anaverageof120kHzphotopeakcountrate
Page 39 and 40: Figure 2.7: One GRIFFIN/TIGRESS HPG
Page 41 and 42: (a) One GRIFFIN detector in the HPG
Page 43 and 44: 3.1 Introduction 3.1.1 Previous Wor
Page 45 and 46: energies, branching ratios, emissio
Page 47 and 48: used around the measurement cell in
Page 49 and 50: 3.2.5 Simulated Data Thecodewaswrit
Page 51 and 52: lower its total energy. Internal co
Page 53 and 54: 10000 1000 2 χ red = 1.21 t 1/2 =
Page 55 and 56: as [47] I(E) = G 2π 3 7 c 6 | M i
Page 57 and 58: was to use an average X-ray energy
Page 59 and 60: 1.5 1.4 1.3 1.2 P = 100% P = 75% P
Page 61 and 62: where (a b c d | e f) are Clebsch-G
Page 63 and 64: 2 2 1.5 J i = 5/2, J f = 5/2 J i =
Page 65 and 66: of radius 10 cm, allowing the GRIFF
Page 67 and 68: (a) Screenshot showing the detector
Page 69 and 70: 3.6.2 Output Data and Sort Codes Th
Page 71 and 72: (user-defined option), secondly toa
Page 73 and 74: 30 Absolute Efficiency (%) 25 20 15
Page 75 and 76: 11 10 9 8 7 6 5 4 3 2 1 0 1e+06 Cou
Page 77 and 78: 4.2.1 Multipolarity Effects The sha
Page 79 and 80: Figure 4.7: The time projections an
Page 81: distribution, this average intensit
Page 85 and 86: 12 10 linear regression: y = 0.2243
Page 87 and 88: 15 Linear Counts (e+04) 10 5 0 1e+0
Page 89 and 90: Chapter 5 Conclusions and Future Di
Page 91 and 92: simulated given sufficient parent a
Page 93 and 94: Appendix A Figure A.1: Simulated de
Page 95 and 96: Figure A.3: Simulated decay scheme
Page 97 and 98: Figure A.5: Simulated decay scheme
Page 99 and 100: 6 out = (1/(1+∆ˆ2))*(f(k,jf,L1,L
Page 101 and 102: 44 return; 45 end 46 if abs(m) > j
Page 103 and 104: 1 % LegendreP.m 2 function P = Lege
Page 105 and 106: 39 xx(i+1,j+1) = r(i+1,1)*sin((i*re
Page 107 and 108: 11 %warning('m1 + m2 + m3 must equa
Page 109 and 110: 23 end 24 % ////////// 25 j1 = J1;
Page 111 and 112: 33 if L1 == L2 && ∆ == 0 34 title
Page 113 and 114: Bibliography [1] J. M. Pendlebury a
Page 115 and 116: [25] P. G. Bricault, M. Dombsky, Je
Page 117: [47] RichardA.Dunlap. An introducti
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