1. P. Solvignon, Duality Workshop
Motivations
Understand transition between partons and hadrons
Study of higher twists
Spin and flavor dependence of quark-hadron duality
Access high xbj region if duality is demonstrated and well understood
Frascati, June 6, 2005
P. Solvignon, Duality Workshop
P. Solvignon, Duality workshop

2. P. Solvignon, Duality Workshop
Hint of duality
Frascati, June 6, 2005
P. Solvignon, Duality Workshop
P. Solvignon, Duality workshop

3. P. Solvignon, Duality Workshop
The E experiment
Spokepeople: N. Liyanage, J-P. Chen, Seonho Choi
Graduate Student: P. Solvignon
Ran in January-February 2003
Inclusive experiment: 3He(e,e’)X
Measured polarized cross-sections differences and asymmetries
Form g1, g2, A1 and A2 for 3He
Test duality on the neutron SSF  
Frascati, June 6, 2005
P. Solvignon, Duality Workshop
P. Solvignon, Duality workshop

4. The experimental setup
Polarized e- beam at 3, 4 and 5 GeV; Pavg =(773)%
Both HRS in symmetric config. at 25o and 32o:  Double statistics  Control systematics
PID= Cerenkov + EM calo.  /e reduced by 104  (e-)>99%
JLab HALL A
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

5. P. Solvignon, Duality Workshop
Polarized 3He target
Spin exchange between optically pumped Rb and 3He
Longitudinal and transverse configurations
High luminosity: 1036 s-1 cm-2
2 independent polarimetries: NMR and EPR
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

6. P. Solvignon, Duality Workshop
Data analysis
 -   - 
A//raw =  A raw = 
 +   +
Generate asymmetries:
Measure unpolarized cross section:
Form polarized cross sections differences:
Can also get Born asymmetries:
oborn = oraw - 2(N2/ 3He)N + R.C.
//()raw = 2 A//() o
//() = //()raw + R.C.
A//()= //() / 2oborn
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

7. (// + tan(/2)  ) (- // + Polarized structure functions  )
Extract g1 and g2 directly from our data
MQ2 E
g1 =   
4e E´ E +E´
(// + tan(/2)  )
MQ2
g2 =  
4e E´(E +E´)
(- // +
E + E´ cos

E´sin
 )
Need external input of R to form A1 and A2
A//  A
A1 =  - 
D(1+ ) d(1+ )
 A// A
A2 =  + 
D(1+ ) d(1+ )
(D and d depend of R)
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

8. P. Solvignon, Duality Workshop
Elastic asymmetry
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

9. P. Solvignon, Duality Workshop
Asymmetries
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

10. P. Solvignon, Duality Workshop
Comparison of both HRS
Frascati, June 6, 2005
P. Solvignon, Duality Workshop
P. Solvignon, Duality workshop

11. Unpolarized cross sections
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

12. Polarized structure function g1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

13. Polarized structure function g1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

14. Polarized structure function g1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

15. Polarized structure function g1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

16. Polarized structure function g1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

17. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

18. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

19. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

20. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

21. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

22. P. Solvignon, Duality Workshop
Spin asymmetry A2
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

23. P. Solvignon, Duality Workshop
Conclusion
E provides precision data of SSF on neutron (3He) for 1.0 < Q2 < 4.0 (GeV/c) 2
Direct extraction of g1 and g2 from our data
Overlap between E resonance data and DIS  test of Quark-hadron duality for neutron and nuclei SSF
E data combined with proton data  test of spin-flavor dependence of duality
Our data can also be used to extract moments of SSF (e.g. GDH sum rule, d2, BC sum rule)
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

24. P. Solvignon, Duality Workshop
Outlook
Extraction of the neutron SSF
Final results by the end of 2005
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

25. Extra slides

26. Polarized structure function g2
Frascati, June 6, 2005
P. Solvignon, Duality Workshop

27. P. Solvignon, Duality Workshop
Spin asymmetry A1
Frascati, June 6, 2005
P. Solvignon, Duality Workshop