1. Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

2. Outline Conceptual delivery of beam to target Effects of target solenoids on proton beam(s) –Cross check with some work on target optimization –Further investigations Parallel work done by Eliana Gianfelice- Wendt and myself –Tracking, Matrices, Spreadsheets.... March 7, 2012Gollwitzer -- Proton Delivery to Target2

3. Neutrino Factory Delivery Concept Task Force concept is to operate the pulsed linac at 15 Hz. Accumulate 9 or 12 bunches Transfer 3 bunches to Compressor Rotate and then extract bunches with correct bunch spacing of 120 μs –Effectively 45 or 60 Hz March 7, 2012Gollwitzer -- Proton Delivery to Target3

4. Muon Collider Delivery Concept Task Force concept is to operate the pulsed linac at 15 Hz. Accumulate 4 to 8 bunches Transfer all bunches to Compressor Rotate and then extract bunches in single turn Each bunch is sent on a different path (trombone) so that they all arrive at the target instantaneously March 7, 2012Gollwitzer -- Proton Delivery to Target4

5. Muon Collider Trombone March 7, 20125Gollwitzer -- Proton Delivery to Target

6. Single Beam to Target Want to know how solenoid will affect proton beam line Start from work done on optimizing target –Ding, Berg, Cline and Kirk, “Optimization of a mercury jet target for a neutrino factory or a muon collider”, PRST-AB 14. 111002 (2011) –Uses 2011 target station concept and varies many parameters to optimize the number of usable muons (uses 8 GeV proton beam) March 7, 2012Gollwitzer -- Proton Delivery to Target6

7. PRST-AB Optimization March 7, 20127Gollwitzer -- Proton Delivery to Target Jet/Solenoid angle: 96.7 mrad Jet/Proton Beam angle: 27 mrad at IP Jet radius: 0.4cm Proton Beam Energy: 8 GeV Proton Beam is Gaussian Proton Beam Radius (rms) is 30% of jet radius Solenoid Field is 20 T in interaction region Jet is in y-z plane

8. PRST-AB Optimization Initial optimization is with beam coming from below –Roll angle of 180 o Investigate proton beam azimuthal approach –Propagate proton beam back to -75 cm –Helical paths for beam to always intersect at (0 cm, 0 cm, -37.5 cm) –Investigated 15 paths with different roll angles into the jet March 7, 2012Gollwitzer -- Proton Delivery to Target8

9. Need Solenoid Information March 7, 20129Gollwitzer -- Proton Delivery to Target “The Target System Baseline”, Kirk & McDonald (Feb 4, 2011) Proton Beam in Solenoid field

10. Solenoids Layout March 7, 201210Gollwitzer -- Proton Delivery to Target z (cm) r (cm)

11. Field on axis March 7, 201211Gollwitzer -- Proton Delivery to Target z (cm) B_z (T)

12. Radial field March 7, 201212Gollwitzer -- Proton Delivery to Target z (cm) B_r (T) r = 7 cm From Ding

13. Reproducing PRST-AB Beam Paths -75 cm to -37.5cm March 7, 201213Gollwitzer -- Proton Delivery to Target

14. Beam Distance from Jet March 7, 201214Gollwitzer -- Proton Delivery to Target Clearance is in beam sigmas at -75 cm

15. X & Y vs Z March 7, 201215Gollwitzer -- Proton Delivery to Target

16. X vs Y March 7, 201216Gollwitzer -- Proton Delivery to Target 8m to IP 0.5m to IP

17. Single Beam Path Optimization of muons per roll angle results in roll of 264 o Roll of 95.4 o results in hitting jet twice Z = -123 and -37.5 cm March 7, 2012Gollwitzer -- Proton Delivery to Target17

18. Beam Size Z [m]σ rms [cm] -31.06 -41.45 -51.85 -62.25 -72.65 -83.05 At IP, σ rms = 0.12 cm Optimization shows that β* ≥ 0.3 m – Requires ε ≤ 4.8 μm For β* = 0.3 m March 7, 2012Gollwitzer -- Proton Delivery to Target18

19. Multiple Beam Paths Start with four beam paths separated by roll angle of 90 o Want to be away from path which could hit jet (or apparatus) –Want to be 45 o from this path Will investigate the distance between beam centers Beam Paths’ Rolls: –50.4 o, 140.4 o, 230.4 o and 320.4 o March 7, 2012Gollwitzer -- Proton Delivery to Target19

20. Four Beam Paths March 7, 201220Gollwitzer -- Proton Delivery to Target 8m to IP 0.5m to IP Distance to jet 0.5m to IP

21. X vs Y at Different Z March 7, 201221Gollwitzer -- Proton Delivery to Target

22. X vs Y at Different Z March 7, 201222Gollwitzer -- Proton Delivery to Target -3m-4m-5m -6m-7m-8m

23. Distance Between Beam Paths March 7, 201223Gollwitzer -- Proton Delivery to Target Distance from “opposite” paths Distance from nearest paths σ rms

24. Summary March 7, 2012Gollwitzer -- Proton Delivery to Target24

25. Extras March 7, 2012Gollwitzer -- Proton Delivery to Target25