1. 1 Tracker Window & Diffuser Radius vs Scraping Aperture Chris Rogers Analysis PC 6th April 06

2. 2 Plan Aim is to measure acceptance of MICE cooling channel in 2D phase space Then compare with detector and diffuser acceptance/aperture and check that this acceptance will fit through our detectors Fill phase space with muons Canonical angular momentum 0 for now Momentum 200 MeV/c for now Pass them through MICE Cooling Channel only Don’t have tracker aperture in Look at the radius of muons that survive the MICE channel The detector and diffuser apertures should be at least large enough to transport these muons

3. 3 Scraping Analysis (1D vs 2D) Initial beam Aperture 1Transport as beta function Aperture 2 It is necessary to transport the aperture through MICE in 2D phase space to get the true beam width that is seen downstream The analysis which uses the beta function for transport is analogous to transporting the yellow blob only and ignores the blue particles Aperture 1 Transport of apertures Aperture 2 This 1D analysis using the beta function will always underestimate the amount of beam that is transferred through MICE and hence underestimate the apertures required in the tracker x px x z

4. 4 Scraping Analysis (1D vs 2D) Initial beam Aperture 1Transport as beta function Aperture 2 It is necessary to transport the aperture through MICE in 2D phase space to get the true beam width that is seen downstream The analysis which uses the beta function for transport is analogous to transporting the yellow blob only and ignores the blue particles Aperture 1 Transport of apertures Aperture 2 This 1D analysis using the beta function will always underestimate the amount of beam that is transferred through MICE and hence underestimate the apertures required in the tracker x px x z

5. 5 Physical Model 842 4303040 230 15 150630 No Detector Apertures All materials are copper

6. 6 Small LH2 Aperture and RF Aperture

7. 7 Large LH2 Aperture and RF Aperture

8. 8 Large LH2 Aperture Only

9. 9 Summary Apertures [m] Small LH2 + RF Large LH2 + RF Large LH2 Only Diffuser z= -6.011 0.140.180.19 Window 1 z~-3.8 0.190.250.28 Window 2 Z~+3.8 0.240.29

10. 10 Need to fix phase space Can change window thickness at large aperture to 500 micro metre if required, thinner is more difficult