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+ 2 208 Pb Electroweak Asymmetry in Elastic Electron-Nucleus Scattering : A measure of the neutron distribution PREX and CREX 48 Ca Neutron Skin Horowitz Robert Michaels Jefferson Lab CIPANP 2015 1/15
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48 Ca 208 Pb Choice of Nuclear Targets First excited state far from elastic Neutron excess Doubly-magic Stable Hall A High Resolution ( 10 -4 ) Spectrometers Neutron form factor Robert Michaels, CIPANP 2015
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Neutron Skin vs Mass Number A R N – R P (fm) A PREX-I PREX-II published Approved proposal C-REX Approved proposal 3/15 Robert Michaels, CIPANP 2015
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Measured Asymmetry Weak Density at one Q 2 Correct for Coulomb Distortions Small Corrections for n E G s E MEC surface thickness Atomic Parity Violation Neutron Stars R N - R P Weak Interaction: Sees the Neutrons G Nuclear Theory (Symmetry Energy ) Skin proton neutron Electric charge 1 0 Weak charge 0.08 1 APPLICATIONS Heavy Ions
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Ways to Find Neutron Distribution and Symmetry Energy Proton-Nucleus Elastic Pion, alpha, d Scattering Pion Photoproduction Heavy ion collisions Rare Isotopes (dripline) Electric Dipole Polarizabilities Magnetic scattering PREX / C-REX (weak interaction) Theory MFT fit mostly by data other than neutron densities Involve strong probes Most spins couple to zero. 5/15
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Input : Eq. of state (EOS) Deduce Mass-Radius relationship, and other properties PREX / CREX helps here pressure density Neutron skin is highly correlated with several neutron star properties J. Piekarewicz, arXiv 1502.01559 Crab Pulsar Neutron Stars relationship to 6/15
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Parity Experiment Method Flux Integration Technique: C-REX : 140 MHz PREX: 500 MHz Example : HAPPEX (integrating mode) Robert Michaels, CIPANP 2015
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Hall A High Resolution Spectrometers Elastic Inelastic detector Dipole Quads target Resolve Elastic Scattering Discriminate Excited States Quad Quartz detectors Drift chambers scintillator Robert Michaels, CIPANP 2015
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Physics Asymmetry CEBAF Hall A JLAB Pol. Source Statistics limited ( 9% ) Systematic error goal achieved ! (2%) Septum Magnet HRS + septum Pb target HRS Pb target 5050 PREX-I PRL 108 (2012) 112502 Results 9/15
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Slug # ( ~ 1 day) Units: microns Parity Quality Beam : Unique Strength of JLab Helicity – Correlated Position Differences Sign flips provide further suppression : Average with signs = what experiment feels achieved < 5 nm Points: Not sign-corrected. 20-50 nm diffs. with pol. source setup & feedback A raw = A det - A Q + E + i x i Plotted below Measured separately Sign flips using ½ wave plate & Wien filter ++ -+ +- -- This BPM, Average = 2.4 3.1 nm PREX data 10/15 Robert Michaels, CIPANP 2015
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PREX Asymmetry (P e x A) ppm Slug ~ 1 day 11/15
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PRL 108 (2012) 112502 Asymmetry leads to R N PREX-I has established a neutron skin at ~95 % CL Neutron Skin = R N - R P = 0.33 + 0.16 - 0.18 fm 12/15 Robert Michaels, CIPANP 2015
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PREX-II and C-REX Status targets Improve the shielding and vacuum seals Both experiments approved PREX-II A rating 35 days C-REX A- rating 45 days Systematic Error Goals for PREX-II demonstrated by PREX-I spectrometers 48 48 Ca 208 Pb Robert Michaels, CIPANP 2015
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Possible Future PREX Program ? Nucleus E (GeV) dR N / R N comment 208 Pb 1 1 %PREX-II approved by Jlab PAC, A rating 48 Ca 2.2 (1-pass) 0.4 % natural 12 GeV exp’t approved, A rating 48 Ca 2.6 2 % surface thickness 40 Ca 2.2 (1-pass) 0.6 % basic check of theory tin isotope 1.8 0.6 % apply to heavy ion tin isotope 2.6 1.6 % surface thickness For reference, each point 30 days stat. error only J. Phys. G39 014104 2012 Shufang Ban, C.J. Horowitz, R. Michaels Not proposed
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PREX, C-REX : Summary Fundamental Nuclear Physics with many applications PREX-I : 9% stat. error in Asymmetry ( PREX-II goal 3 % ) Systematic Error Goals Achieved Main problems to be fixed: shielding and rad-hard vacuum seals. PREX-II and C-REX approved ( might run in 2017 ) Robert Michaels, CIPANP 2015
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