ϕ -bending in an infinite solenoid
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ϕ-bending in an infinite solenoid • ρ = p T /.3 B • α = R c /ρ • Δϕ 1 = α/2 • Δϕ = Δϕ 1 R c /R d • Δϕ = (.3 B/ p T ) . R c 2 /R d /2 • p T =20 GeV/c • B=2T • R c =1m • D1 : Rd>1.3 m, Δϕ< 11mrad • D2 : Rd>2.2 m, Δϕ< 7 mrad • D3 : Rd>3.4 m, Δϕ< 4 mrad Solenoid (R c ) Detector (R d ) Δϕ Δϕ 1 α ρ
description
ϕ -bending in an infinite solenoid. ρ = p T /.3 B α = R c / ρ Δϕ 1 = α /2 Δ ϕ = Δϕ 1 R c /R d Δ ϕ = (.3 B/ p T ) . R c 2 /R d /2 p T =20 GeV /c B=2T R c =1m D1 : Rd>1.3 m, Δ ϕ < 11mrad D2 : Rd>2.2 m, Δ ϕ < 7 mrad D3 : Rd>3.4 m, Δ ϕ < 4 mrad. Δϕ. - PowerPoint PPT Presentation
Transcript of ϕ -bending in an infinite solenoid
ϕ-bending in an infinite solenoid
• ρ = pT /.3 B
• α = Rc /ρ
• Δϕ1 = α/2
• Δϕ = Δϕ1 Rc/Rd
• Δϕ = (.3 B/ pT) . Rc2/Rd/2
• pT=20 GeV/c• B=2T• Rc=1m• D1 : Rd>1.3 m, Δϕ< 11mrad• D2 : Rd>2.2 m, Δϕ< 7 mrad• D3 : Rd>3.4 m, Δϕ< 4 mrad
Solenoid (Rc)
Detector (Rd)Δϕ
Δϕ1
αρ
Field model of the real solenoid
z1=2m z2=4m
B=2T
Computing ∫BzdR
• Case 1: ∫BzdR = B Rc
• Case 2: ∫BzdR = B (Rt + (Rc-Rt)(2*Z2-Z1-Ze)/(Z2-Z1)/2)
• Case 3: ∫BzdR =B (Rt+Re)/2
Rc
Z1 Z2
Rt
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3
Rt
Ze
Re
∫BzdR as a function of η
1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.800
0.5
1
1.5
2
2.5
Sum(Bdl)
ϕ-bending as a function of η
1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.800.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
Real Dphi Observed dPhi
