Geant4 Simulations for the Radon Electric Dipole Moment Search at

More documents

Recommendations

Info

P m (J). Table 3.3 illustrates three-dimensional γ-ray angular distributions for various L transitions, and Figure 3.4 gives a few examples of angular distributions for E2 and M1 multipolarities. Table 3.3: γ-ray angular distributions for various L transitions. The angular momentum vector ( ⃗ J) is aligned in the “upward” direction. Various L Transitions “Stretched” L Transitions J i J f L = 1 L = 2 L J i = 5, J f = J i −L 5 5 2 5 4 3 5 6 4 3.4.3 Tracking m-States The magnetic substates are tracked at each step of the simulation. To begin the tracking process, the parent 223 Rn m-state populations are calculated from the 52
2 2 1.5 J i = 5/2, J f = 5/2 J i = 7/2, J f = 5/2 J i = 7/2, J f = 3/2 1.5 J i = 5/2, J f = 5/2 J i = 7/2, J f = 5/2 J i = 5/2, J f = 5/2 . (mixed . M1/E2 δ=0.6) Normalized W(θ) 1 Normalized W(θ) 1 0.5 0.5 0 0 π π 3π π 2 2 θ 0 0 π π 3π π 2 2 θ (a) E2 multipolarities (b) M1 and M1+E2 multipolarities Figure 3.4: γ-ray angular distributions for various multipolarities and spins. The input required to generate γ-ray angular distributions includes the initial and final nuclear spins, the multipolarity of the transition (δ if mixed) and the m-state populations. The angular distributions shown here are for perfectly polarized nuclei, such that m = J i . current polarization (see Equations 3.9 and 3.10). The β-decay branch is determined using Monte Carlo and β-branch probabilities; angular momentum coupling between the 223 Rn ground state and the excited state in 223 Fr is used to calculate resulting probabilities for m-state populations. From these populations an m-state is chosen using Monte Carlo. Similarly for γ decays, the angular momentum coupling between the two states is used to calculate probabilities of m-state populations. At each step of the decay an m-state is found. As shown in the previous section, the m-state information is used to determine the angular distribution of γ-ray radiation. 53
Page 1 and 2:
GEANT4 SIMULATIONS FOR THE RADON EL
Page 3 and 4:
Dictated but not read. i
Page 5 and 6:
Contents Acknowledgements ii 1 Intr
Page 7 and 8:
4 Results 60 4.1 γ-Ray Spectroscop
Page 9 and 10:
List of Figures 1.1 An illustration
Page 11 and 12: Chapter 1 Introduction Thesearchfor
Page 13 and 14: ˆP ր ˆT ց Figure 1.1: An illust
Page 15 and 16: 1.1.1 CP Violation Following the ob
Page 17 and 18: Figure 1.2: Experimental upper limi
Page 19 and 20: Figure 1.3: Illustration of the dou
Page 21 and 22: Chapter 2 RnEDM Experiment at TRIUM
Page 23 and 24: Figure 2.1: A schematic of the ISAC
Page 25 and 26: a measurement cell. The RnEDM exper
Page 27 and 28: 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: where (a b c d | e f) are Clebsch-G
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 and 82: distribution, this average intensit
Page 83 and 84: Table 4.1: The fit results for the
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
show all

Geant4 Simulations for the Radon Electric Dipole Moment Search at

Create successful ePaper yourself

Delete template?

Save as template?