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

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

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)

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

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

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

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

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

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

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

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

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

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

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 E spin structure functions as a model for the radiative corrections on //( ) for our lowest energy Then used our own data

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

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

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

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 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

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

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

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.

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

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

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

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

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

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.

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.

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

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

Extra slides

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

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

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