Optics Simulations. Dustin McNulty UMass July 10, 2009

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1 Optics Simulations Dustin McNulty UMass July, 9

2 Outline Optics Simulations New HRS Optics Tune for PREx A T Hole Studies Be X, FoM and Detector Size HAPPEX-III Focal Plane Distribution PREx Optics/detector beamtest during H-III Commissioning at pass Summary and Future Work Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

3 z y x Spectrometer Coord. Sys. NOT TO SCALE Transport Coord. Sys. y z x 4 o Nominal Central Ray TOP of VDC BOX VDC s PMT PMT 6cm Transport z at det location VDC v u Transport z= Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

4 Standard (Old) and PREx (New) HRS Optics Tune RHRS xy (Standard Optics Tune) HAMC Simulation (Pb, deg,.gev) RHRS xy (PREx Optics Tune) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 3

5 PREx: Transport Plane Rates RHRS x (PREx Optics Tune) RHRS y (PREx Optics Tune) A/.cm) Event Rate (Hz/µ 7 6 HAMC Simulation (Pb, deg,.gev) ±4MeV x cut: Tot Rate =.9 MHz/µA Event Rate (Hz/ µa/.cm) 7 6 ±4MeV x cut: -6.4 < x <.8cm Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 4

6 PREx Collimator and A T Hole with 9 Be Plug Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

7 A T Hole Event Distributions (PREx Tune) RHRS x (PREx Optics Tune) RHRS y (PREx Optics Tune) A/.cm) Event Rate (Hz/µ 7 6 HAMC Simulation (Pb, deg,.gev).86χ o Be Plug ±4MeV x cut: Tot Rate =.9 MHz/µA Event Rate (Hz/ µa/.cm) 7 6 ±4MeV x cut: -6.4 < x <.8cm Bkgd from 8.6% Be 74.7 Hz/ µa Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 6

8 Paul s A T Correction Figure of Merit M = E + B R S () E is the enhancement in A T sensitivity for the hole events (estimated to be ) R is the ratio of rates of the detected hole events relative to the main detector events (Additional factor of reduction to account for radiative tail in hole events) B/S is the ratio of background to A T hole signal The error inflation due to the correction is +M For example, if M =.64, error inflation =.9 Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 7

9 A T Hole Figure of Merit Study B/S Rate Ratio Detector x size (m) A T Detector x size (m) A T Figure of Merit. Error Inflation Detector x size (m) A T Detector x size (m) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 8 A T

10 $ ' AT Hole Detector (PREx Tune) RHRS xy (PREx Optics Tune) ±4MeV x cut: sig:noise =.37-4 Tot Rate =. MHz/µA & Det Size: 7.6cm by.8cm (x by y) -6 RHRS xy (PREx Optics Tune) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting % 9

11 HAPPEX-III Focal Plane Distributions Focal Plane y (m) RHRS xy (Standard Optics Tune) 8 HAMC Simulation 6 4 (cm H, 4deg, 3.484GeV) Focal Plane x (m) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

12 HAPPEX-III Transport Plane Distributions RHRS xy (Standard Optics Tune) 8 HAMC Simulation (cm H, 4deg, 3.484GeV) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

13 HAPPEX-III Transport Plane Distributions Event Rate (arb. units/.cm)..8.6 RHRS x (Standard Optics Tune). HAMC Simulation (cm H, 4deg, 3.484GeV) Event Rate (arb. units/.cm) RHRS y (Standard Optics Tune) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

14 PREX beamtest during HAPPEX-III Commissioning RHRS xy (PREx Optics Tune) RHRS xy (PREx Optics Tune) ±4MeV x cut: Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 3

15 Summary and Future Work Based on HAMC simulation of new PREX HRS optics, optimal prex detector size is roughly cm dispersive (x) by 4cm transverse (y) For A T measurment/correction FoM studies, A T detector size is optimized at 7.6cm in x and.8cm in y with estimated error inflation of % Examine sieve slit distributions using new PREX optics tune? Determine roll and pitch angles for HAPPEX-III detector positioning? Determine Rates for HAPPEX-III running Examine thick Ta spectra for H-III commissioning at pass? Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 4

16 EXTRA SLIDES Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

17 A T Hole Event Distributions (Standard Tune) RHRS x (Standard Optics Tune) RHRS y (Standard Optics Tune) A/.cm) Event Rate (Hz/µ 7 6 HAMC Simulation (Pb, deg,.gev).86χ o Be Plug ±4MeV x cut: Tot Rate = 3. MHz/µA Event Rate (Hz/ µa/.cm) 6 ±4MeV x cut: -6.4 < x <.8cm 4 Bkgd from 8.6% Be Hz/µA Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 6

18 A T Hole Figure of Merit Study B/S Rate Ratio Detector y size (m) A T Detector y size (m) A T Figure of Merit. Error Inflation Detector y size (m) A T Detector y size (m) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 7 A T

19 $ ' AT Hole xy Distributions (Standard Tune) RHRS xy (Standard Optics Tune) 8 HAMC Simulation 6 (Pb, deg,.gev) RHRS xy (Standard Optics Tune) ±4MeV x cut: & Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting % 8

20 HAPPEX-III Transport Plane Distributions Event Rate (arb. units/.cm)..8.6 RHRS x (Standard Optics Tune).4 HAMC Simulation (cm H, 4deg, 3.484GeV). Event Rate (arb. units/.cm) RHRS y (Standard Optics Tune) Focal Plane x (m) Focal Plane x (m) - - Focal Plane y (m) Focal Plane y (m) Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting 9

21 PREX beamtest during HAPPEX-III Commissioning A/.97cm) Event Rate (Hz/µ 3 RHRS x (PREx Optics Tune) HAMC Simulation (Pb, 4deg,.4GeV) ±4MeV x cut: Tot Rate =.4 khz/µa Event Rate (Hz/µA/.67cm) ± 4MeV x cut: RHRS y (PREx Optics Tune) -7.7 < x < 6.cm Optics Simulations, July 9 -, 9, Hall A Parity Collaboration Meeting

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