Table 2 Coincidence detection probabilities for each value of deposited energy obtained from the analytical model due to (a) β− decay followed by its subsequent 176Hf isomeric transition particles interacting in the source crystal (C1) and (b) γ-ray absorption in the detector crystal (C2)
From: Coincidence energy spectra due to the intrinsic radioactivity of LYSO scintillation crystals
a | ||||||
Edep (keV) | Interactions (γ-ray absorption or IC) in C1 | Crystal separation distance (cm) | ||||
0 | 2.5 | 10 | 21 | |||
0 | - | 1.60 × 10−4 | 8.33 × 10−5 | 1.76 × 10−5 | 4.70 × 10−6 | |
88 | γ3 or IC3 | 3.15 × 10−2 | 1.44 × 10−2 | 2.76 × 10−3 | 7.34 × 10−4 | |
202 | γ2 or IC2 | 6.59 × 10−4 | 3.04 × 10−4 | 6.01 × 10−5 | 1.57 × 10−5 | |
290 | (γ2 or IC2) and (γ3 or IC3) | 8.39 × 10−2 | 3.11 × 10−2 | 5.37 × 10−3 | 1.38 × 10−3 | |
307 | γ1 | 2.20 × 10−4 | 1.10 × 10−4 | 2.27 × 10−5 | 6.03 × 10−6 | |
395 | γ1 and (γ3 or IC3) | 3.44 × 10−2 | 1.52 × 10−2 | 2.87 × 10−3 | 7.67 × 10−4 | |
509 | γ1 and (γ2 or IC2) | 7.53 × 10−4 | 3.34 × 10−4 | 6.55 × 10−5 | 1.70 × 10−5 | |
597 | γ1 and (γ2 or IC2) and (γ3 or IC3) | 0 | 0 | 0 | 0 | |
b | ||||||
Edep (keV) | γ-ray absorption in C2 | Crystal separation distance (cm) | ||||
0 | 2.5 | 10 | 21 | |||
0 | - | 0 | 0 | 0 | 0 | |
88 | γ3 | 1.23 × 10−3 | 6.05 × 10−4 | 1.25 × 10−4 | 3.26 × 10−5 | |
202 | γ2 | 5.03 × 10−2 | 2.38 × 10−2 | 4.65 × 10−3 | 1.25 × 10−3 | |
290 | γ2 and γ3 | 7.30 × 10−5 | 1.53 × 10−5 | 5.86 × 10−7 | 4.08 × 10−8 | |
307 | γ1 | 9.43 × 10−2 | 3.61 × 10−2 | 6.37 × 10−3 | 1.65 × 10−3 | |
395 | γ1 and γ3 | 1.37 × 10−4 | 2.33 × 10−5 | 8.04 × 10−7 | 5.39 × 10−8 | |
509 | γ1 and γ2 | 5.59 × 10−3 | 9.15 × 10−4 | 2.99 × 10−5 | 2.06 × 10−6 | |
597 | γ1 and γ2 and γ3 | 8.11 × 10−6 | 5.89 × 10−7 | 3.78 × 10−9 | 6.74 × 10−11 | |