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E01-012 : Spin-Duality Analysis update. Patricia Solvignon Temple University, Philadelphia. Hall A Collaboration Meeting, June 23-24, 2005. Duality in unpolarized structure functions. Hall C results. I. Niculescu et al. , Phys. Rev. Lett. 85 (2000) 1182. Motivations.

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e01 012 spin duality analysis update

E01-012 : Spin-DualityAnalysis update

Patricia Solvignon

Temple University, Philadelphia

Hall A Collaboration Meeting, June 23-24, 2005

slide2

Duality in unpolarized structure functions

Hall C results

P. Solvignon, Hall A Collab. Meeting

I. Niculescu et al., Phys. Rev. Lett. 85 (2000) 1182

slide3

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

X. Zheng et al., Phys. Rev. Lett. 92 (2004) 012004

P. Solvignon, Hall A Collab. Meeting

slide4

Hint of duality

E94-010saw a hint of duality in g1(3He)

Figure from Seonho Choi

P. Solvignon, Hall A Collab. Meeting

slide5

The E01-012 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-sectionsdifferences and asymmetries
  • Form g1, g2, A1 andA2 for 3He

Test duality on the neutron SSF

P. Solvignon, Hall A Collab. Meeting

slide6

Data analysis

Generate asymmetries and unpolarized cross sections

(N+/Q+ LT+)-(N-/Q- LT-)

A/ / ()raw= 

(N+/Q+ LT+)+(N-/Q- LT-)

Ncut Ntrial

oraw =  

Ninc 3Hedet LT Nacc Ltarg p 

P. Solvignon, Hall A Collab. Meeting

slide7

Data analysis

Apply correction for nitrogen dilution

A/ / () exp= A/ / ()raw /(fN2Ptarg Pbeam)

oexp = oraw- 2(N2/3He)N

P. Solvignon, Hall A Collab. Meeting

slide8

Data analysis

Form polarized cross section differences

//() exp= 2 A //()expoexp

Apply radiative corrections on //() and o

//()= //() exp + R.C.

A//()= //() / 2oborn

P. Solvignon, Hall A Collab. Meeting

slide9

Analysis update

Target

  • Density evaluated for each run
  • EPR analysis almost done
  • NMR analysis completed (V. Sulkosky)

Cross sections and asymmetries

  • Detector efficiencies done
  • Nitrogen dilution done
  • 1st pass radiative corrections

Preliminary results on 3He spin structure functions

P. Solvignon, Hall A Collab. Meeting

slide10

Target performance

Pavg= 37%

P. Solvignon, Hall A Collab. Meeting

slide11

Density check: perp vs. para

Running with Duke

Running with Exodus

P. Solvignon, Hall A Collab. Meeting

slide12

HRS cross sections comparison

Agreement between left and right arms cross sections is at 2% level.

P. Solvignon, Hall A Collab. Meeting

slide13

Nitrogen cross sections

QFS model from

J.W. Lightbody and

J.S. O’Connell

P. Solvignon, Hall A Collab. Meeting

slide14

Radiative corrections

  • Elastic tail negligeable at all our kinematics
  • For 1st 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

P. Solvignon, Hall A Collab. Meeting

slide15

Asymmetries

N2 dilution applied

and

1st pass radiative

corrections

P. Solvignon, Hall A Collab. Meeting

slide16

Unpolarized cross sections before R.C.

raw with both arms combined

exp= raw - N

N corrected for density ratio

P. Solvignon, Hall A Collab. Meeting

slide17

Unpolarized Born cross sections

After R.C., we obtain born

Smoothed exp

P. Solvignon, Hall A Collab. Meeting

slide18

Polarized structure functions

Extract g1 and g2 directly from our data

MQ2 E 1

g1 =   

4e2 E´ E +E´

(//+ tan(/2) )

(- //+

MQ22 1

g2=  

4e2 2E´(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)

P. Solvignon, Hall A Collab. Meeting

slide19

Polarized structure function g1

DIS fit : no Q2-evolution included here

P. Solvignon, Hall A Collab. Meeting

slide20

Polarized structure function g1

Large negative contribution of (1232)

P. Solvignon, Hall A Collab. Meeting

slide21

Polarized structure function g1

Still large negative contribution of (1232).

But, at lower x, resonance data seem to oscillate around the DIS curve.

P. Solvignon, Hall A Collab. Meeting

slide22

Polarized structure function g1

The (1232) disappears and the resonance data seems to approach the DIS behavior.

P. Solvignon, Hall A Collab. Meeting

slide23

Polarized structure function g1

No resonance structure can be seen anymore.

P. Solvignon, Hall A Collab. Meeting

slide24

Spin asymmetry A1

DIS data on 3He

P. Solvignon, Hall A Collab. Meeting

slide25

Spin asymmetry A1

A1 is large and negative in the (1232) region.

P. Solvignon, Hall A Collab. Meeting

slide26

Spin asymmetry A1

A1 is still negative in the (1232) region.

P. Solvignon, Hall A Collab. Meeting

slide27

Spin asymmetry A1

The (1232) vanishes while the non-resonant background is rising. A1 becomes positive in the (1232) region.

P. Solvignon, Hall A Collab. Meeting

slide28

Spin asymmetry A1

The two highest Q2 data sets agree with each other and show the same trend as DIS data.

P. Solvignon, Hall A Collab. Meeting

slide29

Spin asymmetry A2

P. Solvignon, Hall A Collab. Meeting

slide30

Still to do

  • Finalize target analysis
  • 2nd 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

P. Solvignon, Hall A Collab. Meeting

slide32

Polarized structure function g2

P. Solvignon, Hall A Collab. Meeting

slide33

Elastic tail

P. Solvignon, Hall A Collab. Meeting

slide34

Target density

P. Solvignon, Hall A Collab. Meeting