march 26, 2009, cern
DESCRIPTION
On the possibilities of observation of proton volume deflection from different crystal planes in one crystal. V incenzo Guidi, A ndrea Mazzolari, INFN, Ferrara Victor Tikhomirov RINP, Minsk. March 26, 2009, CERN. Outline - PowerPoint PPT PresentationTRANSCRIPT
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On the possibilities of observation of
proton volume deflection from different
crystal planes in one crystal
March 26, 2009, CERN
B SU IN P
VVincenzoincenzo Guidi, A Guidi, Andreandrea Mazzolari, Mazzolari,
INFN, FerraraINFN, Ferrara
Victor TikhomirovVictor Tikhomirov
RINP, MinskRINP, Minsk
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OutlineThe idea of multiple volume reflection possibility by crystal
axes in a single crystal
PNPI conditions
VR experiment simulations
MVR predictions
IHEP conditions
VR experiment simulations
MVR predictions
SPS H8 conditions
VR experiment simulations
MVR predictions
Optimal condition of MVR observation
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Volume Reflection prediction
A.M.Taratin and S.A.Vorobiev, Phys. Lett. A119 (1987) 425
and
A.M.Taratin and S.A.Vorobiev, NIM B26 (1987) 512
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Volume reflection by crystal axesV.V. Tikhomirov, PLB 655(2007)217
Axes form many inclined reflecting planes
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-60 -40 -20 0 20 40 60
0
10
20
30
VY0
VX0
(121)(615)(615)(413)(413)(110)(321)(211)(312)(514)(101)(213)(123)(011)(154)(132)(121)(231)111(121)
Protons are reflected from many crystal plane sets of one crystal
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Reflection from many crystal planes increase VR angle 4 times (LHC case)
0 5 10 15 20 25 300
4
8
12
16 high-index planes
(110)(101) (011)(312) (132)(211) (121)(321) (231)
2( ) ( )
( ) 0
2( )
2( )
( / )
( / )
2 1 1( / )
/ (
x x
x turn turn
x x turn turn
y x
X R
Y R
Rx x
px V x x sin c
R
pV x x sin
R
pV x x sin c
R
px y cos c
R
R sin sin
R sin cos
R sinR sin
)xturn
dxx
V.V. Tikhomirov, PLB 655(2007)217The approach of V.A. Maisheev, Phys. Rev. ST Accel. Beams 10:084701,2007 was used.
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Both the IHEP , PNPI and CERN
experiments on VR observation
and
MVR by different crystal planes of one crystal
are simulated below considering particle scattering
by crystal axes
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MVR of 1 GeV protons
-3000 -2000 -1000 0 1000 2000 30000,0
2,0x10-4
4,0x10-4
6,0x10-4
8,0x10-4
VR
1 GeV, x=160rad,
lcr=312m, =4mrad,
x0
= 2mrad, y0
= 800rad
<211> quasimosaic <111> anticlastic amorphous Si
(1/N
)dN
/d x,
rad-1
x, rad
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Comparison of MVR and VR of 1 GeV protons
-2000 -1500 -1000 -500 0 500 1000 1500 20000,0
5,0x10-4
lcr=312m, =4mrad,
x0
= 2mrad, y0
= 800rad
<211> quasimosaic <111> anticlastic amorphous Si
x, rad
(1/N
)dN
/d x,
rad-1
MVR MVR
0,0
1,0x10-3
2,0x10-3
2006 experiment
1 GeV, Rb=7.8cm
lcr=30m, =385rad,
x0
=294rad, y0
= 4mrad,
amorphous Si
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IHEP, 70 GeV; VR experiment and MVR
-200 -100 0 100 2000,000
0,004
MVR
(1/N
)dN
/d x,
rad-1
lcr=1.7mm =1mrad,
x0
=0.5mrad, y0
=0.2 mrad,
<211> quasimosaic <111> anticlastic amorphous Si
x, rad
x2MVR
0,000
0,004
0,008
0,012
0,016
0,020
lcr=0.72mm =423rad,
<211>
x0=211rad,
y0= 2mrad
70 GeV, Rb=1.7m,
x=15rad
0
2006 experiment
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SPS experiment, 400 GeV
VR:
-50 0 500,00
0,02
0,04 400 GeV, lcr=0.86mm, =68.6rad,
x0
=35.5rad, y0
= 2mrad
(1/N
)dN
/d x,
rad-1
x, rad
VR
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400 GeV; MVR simulations
-100 -50 0 50 100 150 200 2500,00
0,01
0,02
0,03
x, rad
(1/N
)dN
/d x,
rad-1
400 GeV, lcr=4mm, R
b=10m,
x0
=200mrad, y0
=75mrad
<211>, P(x<0)=84.7%
<111>, (110), 87.5% <111>, (211), 87.7% amorphous Si
x2
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400 GeV, comparison of SPS VR experiment and MVR simulations
-100 -50 0 50 1000,00
0,01
0,02
0,03
0,04
400 GeV, lcr=4mm, R
b=10m,
x0
=200mrad, y0
=75mrad
<211>, <111>, l
cr=0.86mm, =68.6rad,
x0
=35.5rad, y0
= 2mrad
(1/N
)dN
/d x,
rad-1
x, rad
MVR MVR
VR, experimental
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looks close to optimal one
MVR efficiency dependence on proton incidence directionE=400GeV, lcr=4mm, Rb=10m
160 180 200 220 240 26075
80
85
90
Y=80radD
(x<
0)
x, rad
40 60 80 10075
80
85
90
X=200radD
(x<
0)
y, rad
40.0/ xy
The angular deflection efficiency dependence is week
The ratio
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Optimal lcr values
The optimal l values are lcr=2.5 - 4mm
2 3 4 5 687
88
89
90
91
D(
x<0)
lcr, mm
Y/
X=0.4
Rb=10m
2 3 4 5 60
10
20
30
40
50
60
70
100%
x < 0
< x>,
ra
dlcr, mm
Y/
X=0.4
Rb=10m
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Optimal Rb values
The optimal Rb values are Rb=7-12m
6 8 10 12 14
84
86
88
90
92
D
(x<0
)
Y/
X=0.4
lcr=3mm
R, m6 8 10 12 14
0
10
20
30
40
50
60
70
Y/
X=0.4
lcr=3mm
R, m
< x>,
ra
d 100%
x < 0
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Optimal conditions of MVR
observation at the SPS look like:
lcr = 2.5 - 4mm,
Rb= 7 - 12m,radx 200150
40.0~/ xy
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VR experiment and MVR simulations,
0x
-100 -80 -60 -40 -20 00,00
0,01
0,02
0,03
0,04 400 GeV, lcr=4mm, R
b=10m,
x0
=200mrad, y0
=75mrad
(1
/N)d
N/d x,
rad-1
x, rad
MVR<211>
MVR <111>
VR SPSexperiment
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Thank you for attention!
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The Mir castle