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Initial 4D e N (mm). Diffuser. 3. 6. 10. Cooling channel. D1. D2. Q1. Q2. Q3. Q4. Q5. Q6. Q7. Q8. Q9. DK sol. Target. Absorber p z (MeV/c). 140. GVA1. BPM1. TOF0. TOF1. 200. 240. 1. 2. t. a , b. Diffuser. e. - PowerPoint PPT Presentation
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Beam line characterization with the TOFs 1
Demonstrating the emittance-momentum matrixMark Rayner, CM26 California, 24 March 2010
3 6 10
140
200
240
Initial 4D N (mm)
Abs
orbe
r pz (
MeV
/c)
Cooling
channel
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9DK sol D2D1
TOF1TOF0Target
Diffuser
GVA1 BPM1
,
1 2
Diffuser
t
Beam line characterization with the TOFs 2
Introduction Purpose of the beam line:
Generate the emittance-momentum matrix elements in pion muon decay beam lines
(3, 6, 10) mm (140, 200, 240) MeV/c
Data taking in December 6 mm – 200 MeV/c element
Runs 1380 – 1393, Kevin Tilley’s optics, 6k target pulses 6 mm – 140 MeV/c element
Runs 1409 – 1411, KT’s optics re-scaled to the new momentum, 2k target pulses
Phase space reconstruction by TOF0 and TOF1 Longitudinal momentum resolution O(5 MeV/c) Transverse position resolution O(2 cm) Transverse momentum resolution O(px
max/70)
Dependent on pxmax, the maximum un-scraped momentum of the optics in
question
Comparison with Monte Carlo simulations The 6-200 element has been simulated using G4BeamLine and G4MICE
This talk Reconstruction algorithm Distributions, means, covariance matrices, and emittances for 6-140 and 6-200 data
Analysis talk on Friday What this means for future stages in MICE
Beam line characterization with the TOFs 3
Selection of the muon peak
6-200
6-140
Intermediate
momentum
Beam line characterization with the TOFs 4
Reconstruction procedure
Estimate the momentum
p/E = S/t
Calculate the transfer matrix
Deduce (x’, y’) at TOF1 from (x, y) at TOF0
Deduce (x’, y’) at TOF0 from (x, y) at TOF1
Assume the path length S zTOF1 – zTOF0
s leff + F + D
Track through through each quad,
and calculate
Add up the total pathS = s7 + s8 + s9 + drifts
Q5 Q6 Q7 Q8 Q9
TOF1TOF0
zTOF1 – zTOF0 = 8 m
Beam line characterization with the TOFs 5
Momentum reconstruction: 6-200 simulation
Path length
!
Measuring path length removes the bias on the momentum measurement
Beam line characterization with the TOFs 6
Simulation/data comparison at TOF1 (6-200 matrix element)
This simulation uses the geometry from before TOF1
was moved z = – 16.7 cm = – 0.56 ns / c
Muon time of flight Muon momentum
Beam line characterization with the TOFs 7
6-140 (x, px, y, py, pz) in mm and MeV/c
4296-509.0 132.3-20.37 5.77 4451-5.34 1.32 168.8 15.13-438.7 55.8 -7.03 13.65 1286
30.08 -8.49 14.085 0.136 212.8
x RMS normalized phase emittance = 5.30 mmy RMS normalized phase emittance = 1.78 mmTransverse 4d RMS normalized phase emittance = 3.07 mm
Covariance matrix
Means
Beam line characterization with the TOFs 8
6-200 (x, px, y, py, pz) in mm and MeV/c
3359-610.0 205.818.99 -17.68 36001.17 -1.61 82.3 17.43-107.6 -5.0 -5.84 11.81 602
16.64 -12.09 15.311 -0.407 258.1
x RMS normalized phase emittance = 5.37 mmy RMS normalized phase emittance = 2.25 mmTransverse 4d RMS normalized phase emittance = 3.48 mm
Covariance matrix
Means
Beam line characterization with the TOFs 9
Momentum
Beam line characterization with the TOFs 10
Horizontal phase space
3 fit
Beam line characterization with the TOFs 11
Vertical phase space
Beam line characterization with the TOFs 12
Horizontal spatial dispersion
Beam line characterization with the TOFs 13
Horizontal momentum dispersion
Beam line characterization with the TOFs 14
Vertical spatial dispersion
Beam line characterization with the TOFs 15
Vertical momentum dispersion
Beam line characterization with the TOFs 16
Conclusion 6-200 element
Trace space beam properties required at TOF1 (6-200) <pz> = 261.8 MeV/c, x = 2.55 mm, y = 1.12 mm, and 4D N = 1.69 mm Takes into account binning effects
Trace space beam properties measured at TOF1 (6-200) <pz> = 258.1 MeV/c, x = 2.31 mm, y = 0.93 mm, and 4D N = 1.47 mm
Phase space beam properties measured at TOF1 (6-200) <pz> = 258.6 MeV/c, x = 5.37 mm, y = 2.25 mm, and 4D N = 3.48 mm
Phase space beam properties measured at TOF1 (6-140) <pz> = 212.8 MeV/c, x = 5.30 mm, y = 1.78 mm, and 4D N = 3.07 mm
Analysis talk on Friday Simulation: how would these beams behave in Stage 6? What about time?
Suggestion for the future data shifts Observe >40k muons (~6k target pulses?) for each of the nine
elements Kevin Tilley’s re-scaled 6-200 optics Optics derived from Marco’s genetic algorithm
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