Measurement*of**Vector*and* Tensor*Asymmetriesin ...€¦ · BLAST*Polarized*2H*Target* Richard G....
Transcript of Measurement*of**Vector*and* Tensor*Asymmetriesin ...€¦ · BLAST*Polarized*2H*Target* Richard G....
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Richard G. Milner
Measurement of Vector and Tensor Asymmetries in
Quasielastic (e,e’p) Electron Scattering from Deuterium
• Deuteron structure theoretically calculable to high precision • The BLAST Experiment D.K. Hasell et al., Ann. Rev. Nucl. Part. Sci. 61, 409 (2011)
• Quasielastic (e,e’p) Results A. DeGrush et al. Phys. Rev. Lett. 119, 182501 (2017)
• Conclusions
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Richard G. Milner BNL PAC September 13, 2006
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The Spin Structure of the Deuteron
L=0 S=1
n p n p
L=2 S=3/2
S-state 96% of g.s. wave function
D-state 4% of g.s. wave function
1 = L + S
J=1
D-state dominates over S-state
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J.L. Forest, V.R. Pandharipande, S.C. Pieper, R.B. Wiringa, R. Schiavilla, A. Arriaga
Nucleon-nucleon potential
• θ is the polar angle of r wrt the spin quantization axis
• Strong effect of the tensor force on NN potential depending on different Ms sub-states
• Equidensity surfaces have very different structures depending on Ms
Ms = 0, θ=0
Ms = ±1, θ=0
Femtometer toroidal structures in nuclei
attractive
repulsive
tensor force
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Equidensity Surfaces having ρd
±1 = 0.24 fm-3 (A) and ρd0 = 0.24 fm-3 (B)
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Dumbbell Torus
Repulsive NN core
Angular confinement due to tensor force
In the absence of the tensor force, the equidensity surfaces are concentric spheres
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Predictions for Quasielastic (e,e’p)
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Zero around 300 MeV/c!
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Richard G. Milner
MIT-‐Bates Linear Accelerator Center
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DOE Nuclear Physics Research & Engineering Center of Excellence 2005 - present
DOE Nuclear Physics National User Facility 1974-‐2005
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Richard G. Milner
MIT-‐Bates Linear Accelerator
• 850 MeV 70 % polarized electrons • Stored current of 225 mA max. with 30 min. lifetime
• Siberian snake
• Spin [lipper • Compton polarimeter
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Richard G. Milner
Internal Target Concept
€
! e
er
South Hall Ring
• high polarization • pure target • thin cell walls • low holding [ield • low systematics
L ~ 1032 electron·atoms cm2s-‐1 SPIN 2018
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Richard G. Milner
Stored beam for BLAST
• Accelerator complex and BLAST experiment fully automated
• Stored currents: routinely [ill to 225 mA, lifetime of 35 minutes at 100mA
• Beam Polarization: ~65% with possibility of rapid reversal ([lipper) SPIN 2018
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South Hall Ring Polarization
Compton polarimeter data from Dec. 2003 – Dec. 2004 Mean polarization of 66% measured
Shutdown Shutdown
Richard G. Milner SPIN 2018 Ferrara, Italy
Electron beam energy: 850 MeV
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Richard G. Milner
BLAST Detector • Toroidal magnetic [ield
– 3.8 kG max • Drift Chambers
– 3 chambers/sector – 2 superlayers/chamber (±5°) – 3 sense layers/superlayer – 18 tracking layers/sector – 954 sense wires
• Cerenkov Detectors – 1 cm thick aerogel – Electron identi[ication
• Time of [light scintillators – 16 vertical bars, 2.5 cm thick – Trigger and relative timing
• Neutron detectors – 10 cm thick in left sector – 25-‐30 cm thick in right sector
• 2 level, 8 channel trigger system – Concurrent data acquisition
DRIFT CHAMBERS
CERENKOV
TOF
NEUTRON
MAGNET
BEAM
BEAM
TARGET
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Richard G. Milner
BLAST Toroid
• 8 copper coils – 6730 A – 3700 G
• field mapped (3D) – coil position adjusted – ±1% of calculated – minimize target field – tracking
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BLAST Polarized 2H Target
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D. Cheever et al., Nucl. Instr. Meth. A 556, 410 (2006)
• Atomic beam source embedded in ≈2 kG BLAST toroidal magnetic field • Required custom shielding of many components • Flux: 5 x 1016 atoms/sec • Drifilm coated, cryogenically cooled target cell • Cycled through Ms sub-states • Target spin-states switched every 5 minutes • h = 0.656±0.007(stat)±0.04 (sys) • hPz = 0.580±0.0034 (stat)±0.0054(sys) • Pzz = 0.683±0.015(stat)±0.013(sys)
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Richard G. Milner
0.0
1.0
2.0
3.0
7-Feb 3-Apr 29-May 24-Jul 18-Sep 13-Nov 8-Jan 5-Mar 30-Apr
Col
lect
ed c
harg
e [M
egaC
oulo
mb]
Beam onBeam to Experiment
Data taking
H & D2 collected charge for BLAST, 2004-2005 = 3.25 MegaCoulomb
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Richard G. Milner
Elastic Electron Scattering Primer
k
k’
p
W q
Q2 ≡ -q·q > 0 ν ≡ E-E’ Q2 = 4 EE’ sin2 θ/2
W2 = (q + p)2 = M2 + 2Mν – Q2
x = Q2/2Mν
Elastic scattering: W2 = M2 => Q2 = 2 Mν
2 22 2( ) 2 tan
1 2
p ppE M
Mott MG Gd d G
d dτσ σ θ
ττ
⎡ ⎤+= • +⎢ ⎥Ω Ω +⎣ ⎦
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Richard G. Milner
BLAST scientiYic motivation: nucleon and nuclear structure at low Q2
• Pion is essential to understanding both nucleon and nuclear structure • In low energy elastic electron-‐nucleon scattering one would expect effects of mesons to occur at
r ~ 2 fermi => Q2 ~ 0.1 (GeV/c)2 • Search for effects of meson cloud on long distance structure of nucleon
• Seek precise determination of neutron electric form factor with low systematic uncertainties
• Spin structure of deuterium is a stringent test of our understanding of the nucleon-‐nucleon interaction in nuclei
• Optimal experimental technique: precision experiments possible using polarized gas target internal to electron storage ring
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Polarized Elastic Electron Scattering
• In elastic scattering, polarizing both the electron and the target proton, allows determination of the ratio GE/GM with low systematic uncertainty.
• With a tensor polarized deuteron target, elastic scattering yields T20.
• With a vector polarized deuteron target, and by detecting the neutron in coincidence, the ratio GE/GM can be determined for the neutron.
• Spin is used as a “knob” to access scattering from the neutron. • By detecting quasielastic 2H(e,e’n) scattering, Gn
E(Q2) was determined at MIT-Bates at low Q2 using the Bates Large Acceptance Spectrometer Toroid (BLAST).
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Charge distribu.on of neutron
Richard G. Milner SPIN 2018 Ferrara, Italy
E. Geis et al., Phys. Rev. Le/. 101, 042501 (2008)
Highlighted in
D.K. Hasell et al., Ann. Rev. Nucl. and Part. Sci. 61, 409 (2011)
neutron proton
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Interpretation of Neutron Charge Distribution
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Precision measurement of deuteron tensor analyzing powers
with BLAST
Precision data validate effective field theory
Richard G. Milner SPIN 2018 Ferrara, Italy
C. Zhang et al., Phys. Rev. Le/. 107, 252501 (2011)
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Quasielastic 2H(e,e’p) Reaction
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Cross section
Missing momentum q pf
• Electron beam polarized • 2H both vector and tensor pol. • q and pf and thus pm determined by
BLAST spectrometer • Large acceptance => pm measured up to
500 MeV/c • Data taking simultaneous with Gn
E and T20 measurements
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Quasielastic 2H(e,e’p) Data Taking
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• Data taken in two separate running periods • Simultaneous with BLAST measurements of Gn
E and T20 • Average target spin angles were 31.3±0.43o and 47.4±0.45o
• Target spin angle was in horizontal plane pointing into the left sector • Determined using T20 data • Electrons scattered into the right (left) sector delivered momentum transfer predominantly parallel (perpendicular) to the target spin vector, the so-called same sector (opposing sector) kinematics
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Quasielastic 2H(e,e’p) Vector Asymmetries
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Zero crossing at about 320 MeV/c AV
ed ≈ hPz at pm = 0
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Quasielastic 2H(e,e’p) Tensor Asymmetries
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• At low pm, S-state dominates so ATd is small
• At high pm, D-state dominates • However, at high pm there is a strong influence of FSI: tensor component of NN force
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Summary • Newly published data are reported for AV
ed and ATd spin asymmetries
for 0.1 < Q2 < 0.5 (GeV/c)2.
• Mapped out in quasielastic kinematics 2H(e,e’p) over 0 < pm < 500 MeV/c. • Polarized electron beam incident on vector and tensor polarized 2H
target. • Large acceptance detector allows large range in Q2 and pm. • D-state contribution is clearly evident as pm increases. • AV
ed has a zero crossing at pm ≈ 320 MeV/c, as predicted. • AT
d in same and opposing sector kinematics probe the proton-neutron interaction over a large spatial range.
• Theoretical understanding validated by experiment.
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