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Nucleon Form Factors and the BLAST Experiment at MIT-Bates. Probing Nucleon Structure with Spin-Dependent Electron Scattering at Low Q 2. Introduction/Motivation BLAST Experiment Results and Discussion. Spin 1/2: Elastic electron scattering from nucleons. t = Q 2 /4M 2
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Nucleon Form Factors and the BLAST Experiment at MIT-Bates Probing Nucleon Structure with Spin-Dependent Electron Scattering at Low Q2 • Introduction/Motivation • BLAST Experiment • Results and Discussion R. Alarcon @ PAV06
Spin 1/2: Elastic electron scattering from nucleons t = Q2/4M2 e = [1+2(1+t)tan2(q /2)]-1 GEp(0) = 1, GEn(0) = 0 Sach’s ff’s: charge magnetism GMp(0) = 2.79 GMn(0) = –1.91
p p n Polarized e-N scattering • Polarized beam + polarized target: Donnelly + Raskin, Ann. Phys. 169 (1986)247 p neutron charge ff n neutron magnetic ff • Polarized beam + polarization of recoil nucleon: neutron charge ff proton GE/GM Akhiezer+Rekalo, Sov.JPN 3 (1974) 277 Arnold,Carlson+Gross, PRC 21 (1980) 1426
Why study hadron form factors? • They give us the ground state properties of (all visible) matter: • size and shape • charge and magnetism distributions • spin and angular momentum • They are required for knowledge of many other things: • structure of nuclei at short distances • Proton charge radius and Lamb shift • precision tests of Weak interaction at low Q2 • They should give clues on how to connect QCD to the NN force cPT pQCD form factors quarks/gluons p cloud lattice QCD They can be measured NOW with high precision!
Scientific Motivation for BLAST • Comprehensive study of spin observables from few-body nuclei at low Q2. • Nucleon form factors provide basic information on nucleon structure. • Low-Q2 region is a testing ground for QCD and pion-cloud inspired and other effective nucleon models. • GnE is the least known among the nucleon form factors, with errors of typically 15-20%. • GnE related to neutron charge distribution. • Precise knowledge of GnE is essential for parity violation experiments.
MIT-Bates Linear Accelerator Center • Linac: 2500 MeV • Beam: 850 MeV / Imax = 225 mA / Pe = 65 % • SHR: Siberian Snake + Compton Polarimeter • Target: Internal Target = Atomic Beam Source
Internal Target Physics at MIT-Bates Ee 1 GeV, Pe= 40-80 % Im= 200 mA, 10 min • pure species • thin • high polarization • thin cell • low holding field South Hall Ring L = 1031-1033 atoms cm-2 s-1 Novosibirsk, AmPS, HERMES, IUCF, COSY
Atomic Beam Source • Isotopically pure H or D • Vector Polarized H • Vector and Tensor D • Target Thickness/Luminosity • Flow 2.2 x 1016 atoms/s • Density 6 x 1013 atoms/cm2 • Luminosity 6 x 1031 cm-2s-1 • Target Polarization typically 70-80%
Atomic Beam Source • Quasielastic • Beam-Target Asymmetry • Aved(exp) = h·Pz ·Aved(th) • <hPz> = 0.567 ± 0.006 <Pz> = 0.85 ± 0.04 <h> = 0.67 ± 0.04
Bates Large Acceptance Spectrometer Toroid • Left-Right symmetry • Large Acceptance • 0.1 < Q2/(GeV/c)2 < 1.0 • Coils: B = 3.8 kG • Drift Chambers PID,tracking • ≈ 0.5º, • Cerenkov Counters • e, separation • Scintillators • TOF, PID, trigger • Neutron Counters • Neutron ToF
Experimental Program High quality data for nucleon and deuteron structure by means of spin-dependent electron scattering
Neutron: Invariant Mass and Time of Flight • Very clean quasi-elastic 2H(e,e’n)p spectrum • Highly efficient proton veto (Wire Chambers)
Neutron: Invariant Mass and Time of Flight • Very clean quasi-elastic 2H(e,e’n)p spectrum • Highly efficient proton veto (Wire Chambers)
Target Spin Orientation nucleons Electron - Right Sector “Parallel” Kinematics * ≈ 0 electrons
Target Spin Orientation Neutrons electrons Electron - left sector “Perpendicular” Kinematics * ≈ 90 nucleons electrons
Kinematics and Observables • Electrodisintegration of the Deuteron • Quasi-elastic 2H(e,e’n) • Beam + Target Polarized
Neutron Magnetic Form Factor GMn 1. New measurement technique. 2. Includes full deuteron structure. 3. Consistent with recent polarization and other data. 4. Provides a tighter fit to form factor in the low Q2 region.
Preliminary BLAST GMn Data N. Meitanis
Extraction of GnE • Quasielastic • Full Monte Carlo Simulation of the BLAST experiment • Deuteron Electrodisintegration cross section calculations by H. Arenhövel • Accounted for FSI, MEC, IC, RC • Spin-perpendicular beam-target asymmetry AedV(90º,0º) shows high sensitivity to GnE
Extraction of GnE • Quasielastic • Full Monte Carlo Simulation of the BLAST experiment • Deuteron Electrodisintegration cross section calculations by H. Arenhövel • Accounted for FSI, MEC, IC, RC • Spin-perpendicular beam-target asymmetry AedV(90º,0º) shows high sensitivity to GnE • Compare measured AedV with BLASTMC, varying GnE
Systematic Errors • Uncertainty of target spin angle 5% • 12% per degree • Beam-target polarization product 2.5% • Radiative effects <1.0% • Small helicity dependency • Uncertainty of GnM 1.5% • Model dependency <3% • Effect of potential negligible • Final state interaction reliable Total: 6.6%
GnE World Plot PRELIMINARY
GnE World Plot • Preliminary result • Only 50% of data, final data should reach 0.5 (GeV/c)2 • Use Arenhovel’s calculations for GnM and contribution of GnE • Need to combine with other BLAST measurements for global fit • Provide low Q2 data • Check bump • Pion cloud PRELIMINARY V. Ziskin and E. Geis
BLAST Fit to World Polarization Data • Remarkable consistency of all modern polarization experiments! Global fit determines GEn to better than ±7%
Nucleon Models • Dispersion theory gives the best description • No theory describes GnEat low and high Q2 simultaneously
Conclusions & Outlook • BLAST at MIT-Bates has measured at low Q2 the nucleon form factors using polarized electrons from vector-polarized hydrogen/deuterium. • Very small systematic errors • GnEoverall known to ≈ 5% at Q2 < 1 (GeV/c)2 • Dispersion theory gives the best description • No theory describes GnEat low and high Q2 simultaneously • Evidence for enhancement at low Q2 - role of pion cloud? • With new precision data of T20 from BLAST and with improved A(Q2) new attempt to GnE determine from GQ • ed elastic analysis: Mainz-Saclay discrepancy 8% in A factor of 2 in GnE • New measurements of A(Q2) at JLab (E-05-004) and MAMI • Extension of GnE at high Q2 < 3.5 (GeV/c)2 (E-02-13) • Proposal of BLAST@ELSA/Bonn Measure GnEfor Q2 = 0.04-1.5 (GeV/c)2 with both vector-polarized 2H and polarized 3He