MANX with various momentum muons

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MANX with various momentum muons

• K. Yonehara

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Geometry

• l 1.6 m, k 1.0
• Diameter of beam pipe 0.8 m
• r of reference orbit 255 mm
• pinitial 0.22, 0.25, 0.275, 0.3 GeV/c
• Total length
• 1.6 m (0.22 GeV/c), 2.4 m (0.25 GeV/c), 3.2 m
  (0.275 GeV/c)
• 4.0 m (0.3 GeV/c)
• 0.14 GeV/c lt Final pfinal lt 0.15 GeV/c
• Use LHe as absorber
• Momentum cut at the end of HCC (0.15 pfinal)

2.4 m
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Emittance evolution in various p
Initial e/ Final e Cooling factor
p0.22 GeV/c, 71.13/50.88 1.40
p0.25 GeV/c, 75.29/48.53 1.55
p0.275 GeV/c, 85.02/45.61 1.86
p0.3 GeV/c, 85.42/41.49 2.06
Matching
HCC
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Emittance evolution in various p
Initial e/ Final e Cooling factor
p0.22 GeV/c, 174.7/142.0 1.23
p0.25 GeV/c, 198.0/139.2 1.42
p0.275 GeV/c, 245.8/139.6 1.76
p0.3 GeV/c, 235.1/131.5 1.79
Matching
HCC
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Emittance evolution in various p
Initial e/ Final e Cooling factor
p0.22 GeV/c, 750.2/353.7 2.12
p0.25 GeV/c, 931.6/330.5 2.82
p0.275 GeV/c, 1427/280.7 5.08
p0.3 GeV/c, 1371/215.7 6.36
Matching
HCC
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Design matching section
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Current matching design

• 3 m Matching section
• 2 mm Al window
• 4 m HCC
• 2 mm Al window
• Now downstream matching available

Matching
HCC
Solenoid
Dipole
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Current matching design
HCC
Matching
Quadrupole
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Current matching design
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Current matching design
Initial e/ Final e
85.52/43.69 1.96
199.3/137.2 1.45
1340/281.4 4.76
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Non-linear motion inenergy loss process
What is the difficulty to make a lower momentum
HCC?
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Non-linear effect in energy loss process (I)
Cooling factor

• The challenge here is how to build a lower
  momentum HCC.
• A big difference between p0.1 GeV/c and p0.15
  GeV/c (20 vs 600).
• DDhat is the distance from theoretical Dhat1st
  order energy loss correction.

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Non-linear effect in energy loss process (II)
General definition
Taylor expansion
1st order perturbation term
2nd order perturbation term
3rd order perturbation term
B
Da
-Da
Dp
-Dp