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E01-012 : Spin-Duality Analysis update Patricia Solvignon Temple University, Philadelphia Hall A Collaboration Meeting, June 23-24, 2005

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Hall C results I. Niculescu et al., Phys. Rev. Lett. 85 (2000) 1182

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Understand transition between partons and hadrons Study of higher twists Spin and flavor dependence of quark-hadron duality Access high x bj region if duality is demonstrated and well understood X. Zheng et al., Phys. Rev. Lett. 92 (2004) 012004

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June 23, 2005P. Solvignon, Hall A Collab. Meeting E94-010 saw a hint of duality in g 1 ( 3 He) Figure from Seonho Choi

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Ran in January-February 2003 Inclusive experiment: 3 He(e,e)X Measured polarized cross-sections differences and asymmetries Form g 1, g 2, A 1 and A 2 for 3 He Spokepeople: N. Liyanage, J-P. Chen, Seonho Choi Graduate Student: P. Solvignon Test duality on the neutron SSF

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June 23, 2005P. Solvignon, Hall A Collab. Meeting ( N + / Q + LT + )-( N - / Q - LT - ) A / / ( ) raw = ( N + / Q + LT + )+( N - / Q - LT - ) N cut N trial o raw = N inc 3 H e det LT N acc L targ p Generate asymmetries and unpolarized cross sections

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June 23, 2005P. Solvignon, Hall A Collab. Meeting A / / ( ) exp = A / / ( ) raw /(f N 2 P targ P beam ) o exp = o raw - 2( N 2 / 3 He ) N Apply correction for nitrogen dilution

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June 23, 2005P. Solvignon, Hall A Collab. Meeting A //( ) = //( ) / 2 o born //( ) exp = 2 A //( ) exp o exp //( ) = //( ) exp + R.C. Form polarized cross section differences Apply radiative corrections on //( ) and o

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Density evaluated for each run EPR analysis almost done NMR analysis completed (V. Sulkosky) Target Cross sections and asymmetries Detector efficiencies done Nitrogen dilution done 1 st pass radiative corrections Preliminary results on 3 He spin structure functions

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June 23, 2005P. Solvignon, Hall A Collab. Meeting P avg = 37%

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Running with Duke Running with Exodus

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Agreement between left and right arms cross sections is at 2% level.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting QFS model from J.W. Lightbody and J.S. OConnell

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Elastic tail negligeable at all our kinematics For 1 st pass, used QFS as model for o Used E94-010 spin structure functions as a model for the radiative corrections on //( ) for our lowest energy Then used our own data

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June 23, 2005P. Solvignon, Hall A Collab. Meeting N 2 dilution applied 1 st pass radiative corrections and

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June 23, 2005P. Solvignon, Hall A Collab. Meeting raw with both arms combined exp = raw - N N corrected for density ratio

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Smoothed exp After R.C., we obtain born

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June 23, 2005P. Solvignon, Hall A Collab. Meeting A // A A 1 = - D(1+ ) d(1+ ) ( // + tan( /2) ) A // A A 2 = + D(1+ ) d(1+ ) MQ 2 E 1 g 1 = 4 e 2 E´ E +E´ MQ 2 2 1 g 2 = 4 e 2 2E´(E +E´) ( - // + E + E´ cos E´sin ) (D and d depend of R) Extract g 1 and g 2 directly from our data Need external input of R to form A 1 and A 2

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June 23, 2005P. Solvignon, Hall A Collab. Meeting DIS fit : no Q 2 -evolution included here

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Large negative contribution of (1232)

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Still large negative contribution of (1232). But, at lower x, resonance data seem to oscillate around the DIS curve.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting The (1232) disappears and the resonance data seems to approach the DIS behavior.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting No resonance structure can be seen anymore.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting DIS data on 3 He

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June 23, 2005P. Solvignon, Hall A Collab. Meeting A 1 is large and negative in the (1232) region.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting A 1 is still negative in the (1232) region.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting The (1232) vanishes while the non-resonant background is rising. A 1 becomes positive in the (1232) region.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting The two highest Q 2 data sets agree with each other and show the same trend as DIS data.

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June 23, 2005P. Solvignon, Hall A Collab. Meeting

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June 23, 2005P. Solvignon, Hall A Collab. Meeting Finalize target analysis 2 nd pass radiative corrections Extract the neutron spin structure functions Extract moments of structure functions (e.g. GDH sum rule, BC sum rule) Final results expected by the end of 2005

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Extra slides

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June 23, 2005P. Solvignon, Hall A Collab. Meeting

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June 23, 2005P. Solvignon, Hall A Collab. Meeting

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June 23, 2005P. Solvignon, Hall A Collab. Meeting

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