Estimating Average Double-Scattering Analyzing Power
Using elastic rate to estimate average double-scattering analyzing power with given asymmetry, single-scattering rate, Sherman function, and more. Explore fitting rates, target thickness impact, fits comparison, and suggested improvements.
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Presentation Transcript
Can we use elastic rate to estimate average double-scattering analyzing power ? Asymmetry = P Seff = P (<S1>R1 + <S2>R2) / (R1+R2) R1 = single-scattering rate (goes like T) <S1> = S1 = single-scattering Sherman function (=0.51 @ 5MeV, 172 ) R2 = double-scattering rate (goes like T2) <S2> = average over double-scattering over all cases P = 85%
What are the single- and double- scattering rates? FIT: DAQ Rate [Hz/uA] = A T + B T2 T cut: [-2 ,2 E cut: [+1 ,+3 T cut: [-2 ,2 E cut: [+1 ,+3 B (Hz/uA/um2) Method A (Hz/uA/um) CHISQ/dof Confidence (2.69 +/- 0.21) x 10-2 (1.64 +/- 0.25) x 10-5 FESEM 0.7 71.6 (3.05 +/- 0.19) x 10-2 (0.98 +/- 0.22) x 10-5 Lebow 1.8 29.9
<S2> = 0% Run1 FESEM FIT Run1 Lebow FIT
<S2> = 5% Run1 FESEM FIT Run1 Lebow FIT
<S2> = 10% Run1 FESEM FIT Run1 Lebow FIT
<S2> = 15% Run1 FESEM FIT Run1 Lebow FIT
<S2> = 20% Run1 FESEM FIT Run1 Lebow FIT
Summary 1. Rate depends as expected with target thickness. 2. FESEM / Lebow fits similar, but FESEM better CHISQ/dof. 3. <S2> of 0% (Lebow) to 20% (FESEM) agree with measured asymmetry 4. Things to do Verify rate calculation (Riad/Dan) Include rate uncertainty in 2-D fitting routine (Dan)
