Lead ( P b) R adius Ex periment : PREX
description
Transcript of Lead ( P b) R adius Ex periment : PREX
Lead ( Pb) Radius Experiment : PREX208
208Pb
E = 1 GeV, electrons on lead
05
Elastic Scattering Parity Violating Asymmetry
Spokespersons• Paul Souder• Krishna Kumar• Robert Michaels• Guido Urciuoli
G.M. Urciuoli
Hall A Collaboration Experiment
neutron weak charge >> proton weak charge
is small, best observed by parity violation
)()()(ˆ5 rArVrV
||)()(///3 rrrZrdrV )()()sin41(
22)( 2 rNrZ
GrA NPW
F
22 |)(| QFdd
dd
PMott
)()(41)( 0
32 rqrjrdQF PP )()(
41)( 0
32 rqrjrdQF NN
)()(
sin4122 2
22
2
QFQFQG
dd
dd
dd
dd
AP
NW
F
LR
LR
Electron - Nucleus Potential
electromagnetic axial
Neutron form factor
Parity Violating Asymmetry
)(rA
1sin41 2 W
Proton form factor
0
%1%3 n
n
RdR
AdA
APV~ 500 ±15ppb, Q2~ 0.01 GeV2
G.M. Urciuoli
strmb
dd
1fmq
Reminder: Electromagnetic Scattering determines
r
r
Pb208
(charge distribution)
1 2 3
G.M. Urciuoli
Z of weak interaction : sees the neutrons
0
proton neutron
Electric charge 1 0
Weak charge 0.08 1
Analysis is clean, like electromagnetic scattering: 1. Probes the entire nuclear volume 2. Perturbation theory applies
G.M. Urciuoli
Neutron Densities
• Proton-Nucleus Elastic• Pion, alpha, d Scattering• Pion Photoproduction• Magnetic scattering• Theory Predictions Fit mostly by data other
than neutron densities
Involve strong probes
Most spins couple to zero.
Therefore, PREX is a powerful check of nuclear theory.
G.M. Urciuoli
Nuclear Structure: Neutron density is a fundamental observable that remains elusive.
ZN
Reflects poor understanding of symmetry energy of nuclear matter = the energy cost of
xn
)21()()2/1,(),( 2xnSxnExnE
n.m. density
ratio proton/neutrons
• Slope unconstrained by data
• Adding R from Pb will eliminate the
dispersion in plot.
N208
G.M. Urciuoli
( R.J. Furnstahl )
Measurement at one Q is sufficient to measure R
2
N
Pins down the symmetry energy (1 parameter)
PREX accuracy
PREX accuracy
G.M. Urciuoli
PREX & Neutron Stars
Crab Pulsar
( C.J. Horowitz, J. Piekarweicz )
R calibrates EOS of Neutron Rich Matter
Combine PREX R with Obs. Neutron Star Radii
Some Neutron Stars seem too Cold
N
N
Crust ThicknessExplain Glitches in Pulsar Frequency ?
Strange star ? Quark Star ?
Cooling by neutrino emission (URCA)
0.2 fm URCA probable, else not pn RR
Phase Transition to “Exotic” Core ?
G.M. Urciuoli
FP
TM1Solid
Liquid
Liquid/Solid Transition Density
• Thicker neutron skin in Pb means energy rises rapidly with density Quickly favors uniform phase.
• Thick skin in Pb low transition density in star.
Neutron EOS and Neutron Star Crust
Fig. from J.M. Lattimer & M. Prakash, Science 304 (2004) 536.
Horowitz
G.M. Urciuoli
Pb Radius vs Neutron Star Radius
• The 208Pb radius constrains the pressure of neutron matter at subnuclear densities.
• The NS radius depends on the pressure at nuclear density and above.
• Important to have both low density and high density measurements to constrain density dependence of EOS.– If Pb radius is relatively large: EOS at low density is stiff with
high P. If NS radius is small than high density EOS soft.– This softening of EOS with density could strongly suggest a
transition to an exotic high density phase such as quark matter, strange matter, color superconductor, kaon condensate…
G.M. Urciuoli
PREX Constrains Rapid Direct URCA Cooling of Neutron Stars
• Proton fraction Yp for matter in beta equilibrium depends on symmetry energy S(n).
• Rn in Pb determines density dependence of S(n).
• The larger Rn in Pb the lower the threshold mass for direct URCA cooling.
• If Rn-Rp<0.2 fm all EOS models do not have direct URCA in 1.4 M¯ stars.
• If Rn-Rp>0.25 fm all models do have URCA in 1.4 M¯ stars.
Rn-Rp in 208Pb
If Yp > red line NS cools quickly via direct URCA reaction n p+e+
Horowitz
G.M. Urciuoli
Atomic Parity Violation• Low Q test of Standard Model• Needs R to make further
progress.
2
N
rdrZrNG
H eePWNF
PNC35/2 )()sin41()(
22
0
APV
Isotope Chain Experiments e.g. Berkeley Yb
G.M. Urciuoli
Neutron Skin and Heavy – Ion Collisions
Danielewicz, Lacey, and Lynch, Science 298 (2002) 1592.
• Impact on Heavy - Ion physics: constraints and predictions• Imprint of the EOS left in the flow and fragmentation
distribution.
G.M. Urciuoli
Measured Asymmetry
Weak Density at one Q2
Neutron Density at one Q2
Correct for CoulombDistortions
Small Corrections forG
nE G
sE MEC
Assume Surface Thickness Good to 25% (MFT)
Atomic Parity Violation
Mean Field & Other
Models
Neutron Stars
R n
PREX Physics Impact
Heavy Ions
G.M. Urciuoli
Corrections to the Asymmetry are Mostly Negligible
Horowitz, et.al. PRC 63 025501
• Coulomb Distortions ~20% = the biggest correction.
• Transverse Asymmetry (to be measured)• Strangeness• Electric Form Factor of Neutron• Parity Admixtures• Dispersion Corrections• Meson Exchange Currents• Shape Dependence• Isospin Corrections• Radiative Corrections• Excited States• Target Impurities
G.M. Urciuoli
Hall A at Jefferson Lab
Polarized e-
SourceHall A
G.M. Urciuoli
PREX in Hall A at JLab
CEBAFHall A
Pol. Source
Lead Foil Target
Spectometers
G.M. Urciuoli
High Resolution Spectrometers
Elastic
Inelastic
detector
Q Q
Dipole
Quad
Spectrometer Concept:
Resolve Elastic
target
Left-Right symmetry to control transverse polarization systematic
Experimental Method
Flux Integration Technique:HAPPEX: 2 MHzPREX: 850 MHz
G.M. Urciuoli
controls
effective
analyzing
powerTune
residual linear pol.Slow helicity
reversalIntensity Attenuat
or(charge
Feedback)
Polarized Source
High PeHigh Q.E.Low Apower
• Optical pumping of solid-state photocathode
• High Polarization
• Pockels cell allows rapid helicity flip
• Careful configuration to reduce beam asymmetries.
• Slow helicity reversal to further cancel beam asymmetries
GaASPhotocato
de
P I T A Effect
)sin( IA Laser at Pol. Source
Polarization Induced Transport Asymmetry
yx
yx
TTTT
where
Transport Asymmetry
Intensity Asymmetry
drifts, but slope is ~ stable. Feedback on
Important Systematic :
Intensity FeedbackAdjustmentsfor small phase shiftsto make close tocircular polarization
Low jitter and high accuracy allows sub-ppmCumulative charge asymmetry in ~ 1 hour
In practice, aim for 0.1 ppm overduration of data-taking.
~ 2 hours
HAPPEX
G.M. Urciuoli
Beam AsymmetriesAraw = Adet - AQ + E+ ixi
• natural beam jitter (regression) • beam modulation (dithering)Slopes from
G.M. Urciuoli
“Energy” BPM
BPM Y2
BPM Y1
BPM X1
BPM X2
Scale +/- 10 nm
Position Diffs average to ~ 1 nm• Good model for
controlling laser systematics at source
• Accelerator setup (betatron matching, phase advance)
Helicity Correlated Differences: Position, Angle, Energy
slug
slug
slug
slug
“slug” = ~1 day running
Spectacular results from HAPPEX-H show we can do PREX.
G.M. Urciuoli
Integrating Detection
PMT
Calorimeter
ADC
Integrator
electrons
• Integrate in 30 msec helicity period.• Deadtime free.• 18 bit ADC with < 10-4 nonlinearity.• Backgrounds & inelastics separated (HRS).
Attempt to improve resolution by replacing Alzak mirrors in light guide with anodized Al or Silver. The x, y dimensions of the quartz determined from beam test data and MC (HAMC) simulations. (11 x 14 cm)Quartz thickness to be optimized with MC.New HRS optics tune focuses elastic events both in x & y at the PREx detector location.
Actually two thin quartz detectors
G.M. Urciuoli
G.M. Urciuoli
Lead Target
Liquid Helium Coolant
Pb
C
208
12
Diamond Backing: • High Thermal
Conductivity• Negligible Systematics
Beam, rastered 4 x 4 mm
beam
5 days at 60 uA 1 shift at 80 uA 3 hrs at 100 uA
Successfuly tested
Upgrade of Compton Polarimeter
To reach 1% accuracy:• Green Laser Green Fabry-Perot cavity (increased sensitivity at low E)
• Integrating Method (removes some systematics of analyzing power)
• New Photon and Electron Detectors (new GSO photon calorimeter, FADC based photon integration DAQ)
electrons
Upgrade Møller polarimeter: 4 Tesla field saturated iron foil, new FADC DAQ
Polarimetry
G.M. Urciuoli
G.M. Urciuoli
Transverse Polarization
TTTTT PAAPAA 00 sin
oT PP 3sin
ppmAT 150
HRS-Left HRS-Right
Transverse Asymmetry
Systematic Error for Parity
“Error in”
TP
Left-right apparatus asymmetry
Need 33 1010 <
ppmAT 10 measure in ~ 1 hr (+ 8 hr setup)
Theory est. (Afanasev)
P
Transverse polarization
Part I: Left/Right Asymmetry
correction syst. err.
<
Control w/ slow feedback on polarized source
solenoids.
G.M. Urciuoli
Transverse Polarization
cos0cos 0TT PAA
HRS-Left HRS-
Right
Vertical misalignment
Systematic Error for Parity
P
Horizontal polarization e.g. from (g-2)
Part II: Up/Down Asymmetry
( Note, beam width is very tiny
m100~
up/down misalignment
• Measured in situ using 2-piece detector.
• Study alignment with tracking & M.C.
• Wien angle feedback ( )
33 1010cos TP
Need
)
<<
sinPPT
G.M. Urciuoli
G.M. Urciuoli
Figure of Merit M = 1/E * 1/sqrt(R) * sqrt(1 + B/S)where,E = A_T enhancement for A_T hole events = 50.R = Ratio of A_T hole detector to main Pb detector event ratesB/S = Ratio of bkgd under the A_T hole events to A_T signal
The optimum A_T detector dimension is ~7.6cm in x by 0.8cm in y. This gives Figure of Merit = 0.637 and error inflation ~1.186.
A_T detector design
G.M. Urciuoli
Noise • Need 100 ppm per window pair
• Position noise already good enough
• New 18-bit ADCs Will improve BCM noise.
• Careful about cable runs, PMTs, grounds. Will improve detector noise.
• Tests with Luminosity Monitor to demonstrate capability.
PREX Workshop Aug 08
~ 50 ppm noise per pulse milestone for electronics
Asymmetries in Lumi Monitors after beam noise subtraction
Jan 2008 Data
( need < 100 ppm)
• PREX is an extremely challenging experiment:
– APV ≈ 500 ± 15 ppb.– 1% polarimetry. – Helicity correlated beam asymmetry < 100 ± 10 ppb.– Beam position differences < 1 ± 0.1 nm.– Transverse beam polarization < 1%. – Noise < 100 ppm – (Not melting) Lead Target – Forward angle detection Septum magnet– Precision measurement of Q2: ± 0.7% ± 0.02° accuracy in
spectrometer angles
• However HAPPEX & test runs have demonstrated its feasibility.
• It will run in March-May 2010 and will measure the lead neutron radius with an unprecedented accuracy (1%). This result will have an impact on many other Physics fields (neutron stars, APV, heavy ions …).
PREX: Summary
G.M. Urciuoli
Spares
G.M. Urciuoli
G.M. Urciuoli
Optimum Kinematics for Lead Parity: E = 850 MeV, 6<A> = 0.5 ppm. Accuracy in Asy 3%
n
2AddFOM
2FOM
Fig. of merit
Min. error in R maximize:
1 month run 1% in R
n
G.M. Urciuoli
Optimization for Barium -- of possible direct use for Atomic PV
1 GeV optimum
G.M. Urciuoli
X
(cav
ity)
n
m
Y (
cavi
ty)
n
m
X (stripline) nm Y (stripline) nm
Redundant Position Measurements at the ~1 nm level(Helicity – correlated differences averaged over
~1 day)
Integrating Detection• Integrate in 30 msec helicity period.• Deadtime free.• 18 bit ADC with < 10-4 nonlinearity.• Backgrounds & inelastics must be separeted (HRS).
electrons
ADC
Integrator
PMT
Quartz / Tungsten Calorimeter
(Also a thin quartz detector upstream of this)Attempt to improve resolution by replacing Alzak mirrors in light guide with anodized Al or Silver. The x, y dimensions of the quartz determined from beam test data and MC (HAMC) simulations. (11 x 14 cm)Quartz thickness to be optimized with MC.New HRS optics tune focuses elastic events both in x & y at the PREx detector location.