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

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

Proton Delivery to Target

Keith Gollwitzer

Accelerator Division

Fermilab

MAP 2012 Winter Meeting March 7, 2012

Page 2: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 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, 2012

Page 3: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 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, 2012

Page 4: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 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, 2012

Page 5: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

5Gollwitzer -- Proton Delivery to Target

Muon Collider Trombone

March 7, 2012

Page 6: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- 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, 2012

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

7Gollwitzer -- Proton Delivery to Target

PRST-AB Optimization

March 7, 2012

Jet/Solenoid angle: 96.7 mradJet/Proton Beam angle: 27 mrad at IPJet radius: 0.4cmProton Beam Energy: 8 GeV

Proton Beam is GaussianProton Beam Radius (rms) is 30% of jet radiusSolenoid Field is 20 T in interaction regionJet is in y-z plane

Page 8: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 8

PRST-AB Optimization

• Initial optimization is with beam coming from below– Roll angle of 180o

• 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, 2012

Page 9: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

9Gollwitzer -- Proton Delivery to Target

Need Solenoid Information

March 7, 2012

“The Target System Baseline”, Kirk & McDonald (Feb 4, 2011)

Proton Beam in Solenoid

field

Page 10: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

10Gollwitzer -- Proton Delivery to Target

Solenoids Layout

March 7, 2012

z (cm)

r (cm)

Page 11: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

11Gollwitzer -- Proton Delivery to Target

Field on axis

March 7, 2012

z (cm)

B_z (T)

Page 12: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

12Gollwitzer -- Proton Delivery to Target

Radial field

March 7, 2012 z (cm)

B_r (

T)

r = 7 cm

From Ding

Page 13: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

13Gollwitzer -- Proton Delivery to Target

Reproducing PRST-AB Beam Paths -75 cm to -37.5cm

March 7, 2012

Page 14: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

14Gollwitzer -- Proton Delivery to Target

Beam Distance from Jet

March 7, 2012

Clea

ranc

e is

in b

eam

sig

mas

at -

75 c

m

Page 15: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

15Gollwitzer -- Proton Delivery to Target

X & Y vs Z

March 7, 2012

Page 16: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

16Gollwitzer -- Proton Delivery to Target

X vs Y

March 7, 2012

8m to IP

0.5m to IP

Page 17: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 17

Single Beam Path• Optimization of

muons per roll angle results in roll of 264o

• Roll of 95.4o results in hitting jet twiceZ = -123 and -37.5 cm

March 7, 2012

Page 18: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 18

Beam Size

Z [m] σrms [cm]

-3 1.06

-4 1.45

-5 1.85

-6 2.25

-7 2.65

-8 3.05

• At IP, σrms = 0.12 cm

• Optimization shows that β* ≥ 0.3 m – Requires ε ≤ 4.8 μm

• For β* = 0.3 m

March 7, 2012

Page 19: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 19

Multiple Beam Paths• Start with four beam paths separated by

roll angle of 90o

• Want to be away from path which could hit jet (or apparatus)– Want to be 45o from this path

• Will investigate the distance between beam centers

• Beam Paths’ Rolls:– 50.4o, 140.4o, 230.4o and 320.4o

March 7, 2012

Page 20: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

20Gollwitzer -- Proton Delivery to Target

Four Beam Paths

March 7, 2012

8m to IP 0.5m to IP

Distance to jet 0.5m to IP

Page 21: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

21Gollwitzer -- Proton Delivery to Target

X vs Y at Different Z

March 7, 2012

Page 22: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

22Gollwitzer -- Proton Delivery to Target

X vs Y at Different Z

March 7, 2012

-3m -4m -5m

-6m -7m -8m

Page 23: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

23Gollwitzer -- Proton Delivery to Target

Distance Between Beam Paths

March 7, 2012

Distance from “opposite” paths

Distance from nearest paths

σrms

Page 24: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Gollwitzer -- Proton Delivery to Target 24

Summary

March 7, 2012

Page 25: Proton Delivery to Target Keith Gollwitzer Accelerator Division Fermilab MAP 2012 Winter Meeting March 7, 2012

Extras

March 7, 2012 Gollwitzer -- Proton Delivery to Target 25