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What pHe3 can teach us Polarized He-3 is an effective neutron target d-quark target Polarized protons are an effective u-quark target 1 Therefore combining pp and pHe3 data will allow a full quark flavor separation u, d, ubar, dbar Two physics trusts for a polarized pHe3 program: Measuring the sea quark helicity distributions through W-production Access to dbar Caveat maximum beam energy for He-3: 166 GeV Need increased luminosity to compensate for lower W-cross section Measuring single spin asymmetries A N for pion production and Drell-Yan expectations for A N (pions) similar effect for π ± ( π 0 unchanged) 3 He: helpful input for understanding of transverse spin phenomena Critical to tag spectator protons from 3He with roman pots
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eRHIC: polarized eHe3 scattering Future: Polarized electron – proton and electron – He3 scattering allows for a test of the best know Sum Rule in QCD The Bjoerken Sum Rule 2 Calculated in pQCD Currently measured to 10% EIC could provide a 1-2% measurement, if beam polarization Is measured to 1-2% g 1 p and g 1 n : polarized structure functions
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More insights to the proton E.C. Aschenauer He-3 Workshop, BNL, September 2011 Unpolarized distribution function q(x), G(x) Helicity distribution function q(x), G(x) Transversity distribution function q(x) Correlation between and Sivers distribution function Boer-Mulders distribution function beyond collinear picture Explore spin orbit correlations 3
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q: W Production Basics E.C. Aschenauer He-3 Workshop, BNL, September 2011 4 u u dd Since W is maximally parity violating W’s couple only to one parton helicity large Δu and Δd result in large asymmetries. No Fragmentation ! Similar expression for W - to get Δ and Δd…
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de Florian, Vogelsang expectations for A L e in pp collisions E.C. Aschenauer He-3 Workshop, BNL, September 2011 5 t largeu large strong sensitivity to t largeu large limited sensitivity to
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A L W : Future Possibilities E.C. Aschenauer He-3 Workshop, BNL, September 2011 6 Can we increase p-beam energy? 325 GeV: factor 2 in W access to lower x for g(x) Increased beam-energy and polarized He-3 beam full flavor separation A L W : pp @ 500 GeV A L W : He3-p @ 432 GeV phase 2 of pp2pp@STAR can separate scattering on n or p
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Quantum phase-space tomography of the nucleon 3D picture in momentum space 3D picture in coordinate space transverse momentum generalized parton distributions dependent distributions exclusive reaction like DVCS E.C. Aschenauer He-3 Workshop, BNL, September 2011 7 Polarized p d-quark u-quark Join the real 3D experience !! TMDs GPDs Wigner Distribution W(x,r,k t ) d3rd3r d 2 k t dz
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E.C. Aschenauer He-3 Workshop, BNL, September 2011 A N in 3 He-proton collisions Sivers fcts. for u and d quarks opposite in sign and slightly larger for d quarks Z. Kang @ 2010 Iowa RSC meeting u d isospin rotation leads to different signs for A N for protons and neutrons asymmetries for neutrons are larger (due to electric charges) expectations for Drell Yan proton neutron expectations for A N (pions) similar effect for π ± ( π 0 unchanged) this time computed within twist-3 formalism here, effect due to favored/unfavored fragmentation caveat: does not yet include possibility of nodes in Sivers function 3He: helpful input for understanding of transverse spin phenomena 8 The long term future future of pp@RHIC
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