Difference between revisions of "DeltaDoverD Progress"

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A complete test of independent fragmentation can be performed with polarized proton and neutron targets. The ratio of the difference of polarized to unpolarized cross sections for proton and neutron targets <math>\Delta R_{np}^{\pi^+ + \pi^-}</math> can be written in terms of the structure functions:
 
A complete test of independent fragmentation can be performed with polarized proton and neutron targets. The ratio of the difference of polarized to unpolarized cross sections for proton and neutron targets <math>\Delta R_{np}^{\pi^+ + \pi^-}</math> can be written in terms of the structure functions:
  
<math>\Delta R_{np}^{\pi^+ + \pi^-} = \frac{\Delta \sigma_p^{\pi^+ + \pi^-} - \Delta \sigma_{n}^{\pi^+ + \pi^-}}{\sigma_p^{\pi^+ + \pi^-} - \sigma_{n}^{\pi^+ + \pi^-}}=</math>
+
<math>\Delta R_{np}^{\pi^+ + \pi^-} = \frac{\Delta \sigma_p^{\pi^+ + \pi^-} - \Delta \sigma_{n}^{\pi^+ + \pi^-}}{\sigma_p^{\pi^+ + \pi^-} - \sigma_{n}^{\pi^+ + \pi^-}}= \frac{g_1^p - g_1^n}{F_1^p - F_1^n}(x,Q^2)</math>
 
 
<math>=\frac{(\Delta u +\Delta \bar{u}) - (\Delta d + \Delta \bar{d})}{(u+\bar{u}) - (d+\bar{d})}(x,Q^2)=</math>
 
 
 
<math>= \frac{g_1^p - g_1^n}{F_1^p - F_1^n}(x,Q^2)</math>
 
  
 
== Delta d over d==
 
== Delta d over d==

Revision as of 19:34, 6 February 2011

TD_Ddoverd_2008

TD_Ddoverd_2009

TD_Ddoverd_2010

The goal

Fragmentation Function test

A complete test of independent fragmentation can be performed with polarized proton and neutron targets. The ratio of the difference of polarized to unpolarized cross sections for proton and neutron targets [math]\Delta R_{np}^{\pi^+ + \pi^-}[/math] can be written in terms of the structure functions:

[math]\Delta R_{np}^{\pi^+ + \pi^-} = \frac{\Delta \sigma_p^{\pi^+ + \pi^-} - \Delta \sigma_{n}^{\pi^+ + \pi^-}}{\sigma_p^{\pi^+ + \pi^-} - \sigma_{n}^{\pi^+ + \pi^-}}= \frac{g_1^p - g_1^n}{F_1^p - F_1^n}(x,Q^2)[/math]

Delta d over d

[math]\frac{\Delta d_v}{d_v}(x,Q^2) = \frac{\Delta \sigma_p^{\pi^+ \pm \pi^-} - 4\Delta \sigma_{2H}^{\pi^+ \pm \pi^-}}{\sigma_p^{\pi^+ \pm \pi^-} - 4\sigma_{2H}^{\pi^+ \pm \pi^-}} (x,Q^2)[/math]

1/24/2011

1.) Find energy range with substantial ND3, pi- events when B <0.

Ratio plot for Q^2 and X_{BJ}

once you find the Q^2 and X_BJ range holding a reasonable amount of data.



2.) Inclusive electron scattering ratio of

Inclusiveelectrons -vs- Q-squared Inclusive Missing Mass (W) for 1.0 Q^2 <1.2
[[|300px|thumb|The ratio of inclusive electrons detected in scintillator paddle #7 when Btorus >0 (B_p)to inclusive electrons detected by paddle 11 when B<0(B_n) NH3 Target]] [[|300px|thumb|The inclusive missing mass W for each torus setting. Dashed line is B>0 and solid line is B<0]]
[[|300px|thumb|The ratio of inclusive electrons detected in scintillator paddle #7 when Btorus >0 (B_p)to inclusive electrons detected by paddle 11 when B<0(B_n)]]ND3 Target [[|300px|thumb|The inclusive missing mass W for each torus setting. Dashed line is B>0 and solid line is B<0]]
[[|300px|thumb|The ratio of inclusive electrons detected in scintillator paddle #7 when Btorus >0 (B_p)to inclusive electrons detected by paddle 11 when B<0(B_n)]] Both Targets 300px|thumb|The inclusive missing mass W for each torus setting. Dashed line is B>0 and solid line is B<0

3.) Semi Inclusive pion production ratios -vs- Q^2, Only electron cuts

/cache/mss/clas/eg1b/production/pass1/v4/4p2out/misc/dst/dst2828*


ND3 4.2-

28287 28288 28289 28311 28312 28313 28314 28315 28316 28317 28319 28320 28321 28322 28323 28335 28336 28337 28338 28339 28340 28341 28351 28352 28367 28368 28369 28370 28371 28372 28373 28374 28375 28376 28377 28378 28379 28380 28381 28385 28386 28389 28390 28391 28392 28393 28394 28396 28397 28398 28399 28400 28401

ND3 4.2+

28074 28075 28076 28077 28078 28079

NH3 4.2-

28407 28408 28409 28410 28411 28412 28413 28414 28415 28416 28417 28422 28423 28424 28425 28426 28427 28428 28429 28432 28433 28438 28439 28443 28445 28446 28447 28448 28449 28450 28456 28457 28458 28460 28461 28462 28463 28464 28467 28469 28471 28472 28473 28476 28478 28479


NH3 4.2+

28205 28207 28208 28209 28210 28211 28212 28214 28215 28216 28217 28222 28223 28224 28225 28226 28227 28230 28231 28232 28233 28234 28235 28236 28240 28242 28244 28245 28246 28247 28249 28250 28252 28253 28254 28255 28256 28260 28261 28262 28263 28264 28265 28266 28272 28274 28275 28276 28277

File locations http://www.jlab.org/Hall-B/secure/eg1/EG2000/nevzat/UPGRADE_DST/

/cache/mss/home/nguler/dst

Rates before and after requiring pions

all the cuts are applied, except NPHE>2.5 cut.

NPHE ND3 4 2- nopions.gifNPHE ND3 4 2- withpions.gif

4.2 GeV, ND3 target, 98 files, B<0[math]\frac{\mbox{SemiInclusive Events}}{\mbox{Inclusive Events}}= 14.5% [/math]

NPHE ND3 4 2+ nopions.gifNPHE ND3 4 2+ withpions.gif

4.2 GeV, ND3 target, 32 files, B>0[math]\frac{\mbox{SemiInclusive Events}}{\mbox{Inclusive Events}}= 4.4 %[/math]

The ratio for ND3 4.2 GeV data

Electron paddle selection

Inclusive

ElectronPaddleNumber4 2GeVND3negativewithoutpions.gif ElectronPaddleNumber4 2GeVND3positivewithoutpions.gif
Electron Paddle Number(Inclusive, B<0, 4.2 GeV Beam, ND3 Target) Electron Paddle Number(Inclusive, B>0, 4.2 GeV Beam, ND3 Target)

Semi-Inclusive

ElectronPaddleNumber4 2GeVND3negativewithpions.gif ElectronPaddleNumber4 2GeVND3positivewithpions.gif
Electron Paddle Number(Semi-Inclusive, B<0, 4.2 GeV Beam, ND3 Target) Electron Paddle Number(Semi-Inclusive, B>0, 4.2 GeV Beam, ND3 Target)


B>0, ND3 Electron paddle number=5

B<0, ND3 Electron paddle number=10

The Ratio

X_B [math]\frac{ND3,Epaddle=5,B\gt 0}{ND3,Epaddle=10,B\lt 0}[/math] without pions [math]\frac{ND3,Epaddle=5,B\gt 0}{ND3,Epaddle=10,B\lt 0}[/math] with pions
0.3 [math]1.01 \pm 0.02[/math] [math] 1.2 \pm 0.1[/math]
0.35 [math]1.06 \pm 0.01[/math] [math]1.1 \pm 0.06[/math]
0.4 [math]1.1 \pm 0.01[/math] [math]1.03 \pm 0.08[/math]
0.45 [math]1.1 \pm 0.01[/math] [math]1.1 \pm 0.09[/math]
0.5 [math]0.9 \pm 0.02[/math] [math]0.6 \pm 0.2[/math]
0.55 [math]0.23 \pm 0.06[/math] [math]0.13 \pm 0.5[/math]


The ratio for NH3 4.2 GeV data

Electron paddle selection

Inclusive

ElectronPaddleNumber4 2GeVNH3negativewithoutpions.gif ElectronPaddleNumber4 2GeVNH3positivewithoutpions.gif
Electron Paddle Number(Inclusive, B<0, NH3 target, 4.2 GeV Beam) Electron Paddle Number(Inclusive, B>0, NH3 target, 4.2 GeV Beam)

Semi-Inclusive

ElectronPaddleNumber4 2GeVNH3negativewithpions.gif positive
Electron Paddle Number(Semi-Inclusive, B<0, NH3 target, 4.2 GeV Beam) Electron Paddle Number(Semi-Inclusive, B>0, NH3 target, 4.2 GeV Beam)


B>0, NH3 Electron paddle number=5

B<0, NH3 Electron paddle number=10

The Ratio

X_B [math]\frac{NH3,Epaddle=5,B\gt 0}{NH3,Epaddle=10,B\lt 0}[/math] without pions [math]\frac{NH3,Epaddle=5,B\gt 0}{NH3,Epaddle=10,B\lt 0}[/math] with pions
0.3 [math]1.02 \pm 0.01[/math] [math] 1.2 \pm 0.03[/math]
0.35 [math]1.08 \pm 0.008[/math] [math]1.01 \pm 0.02[/math]
0.4 [math]1.09 \pm 0.009[/math] [math]1.04 \pm 0.02[/math]
0.45 [math]1.19 \pm 0.01[/math] [math]1.1 \pm 0.03[/math]
0.5 [math]0.9 \pm 0.01[/math] [math]0.8 \pm 0.03[/math]
0.55 [math]0.2 \pm 0.03[/math] [math]0.18 \pm 0.09[/math]

1/31/11

Electron paddle number for B>0 is 5 and for B<0 - 10. The cut was applied on [math]X_B[/math] : [math]0.3\lt X_B\lt 0.6[/math]

Inclusive

 Are the ratio's from rates normalized with beam current measured by the FC?
 Is the conclusion that the NH3 and ND3 rates are indistinguishable?

1.) Overlap electron kinematic ([math]\theta[/math], W, Momentum) for B>0 and B<0 and ND3 and NH3.

(NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)

EmomInclusiveoverlay4-2GeV.gif EthetaInclusiveoverlay4-2GeV.gif WInclusiveoverlay4-2GeV.gif
Electron Momentum((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)) Electron [math]\theta[/math] Angle((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)) W mass((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0))

2.) Now plot ratio (B< 0/B>0) electron kinematic ([math]\theta[/math], W, Momentum) for ND3 and NH3. ( I expect 2 curves in one plot)

[math]\frac{ND3 B\lt 0}{ND3 B\gt 0}[/math], [math]\frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]

Emomratioinclusive4-2GeV.jpg Ethetaratioinclusive4-2GeV.jpg Wratioinclusive4-2GeV.jpg
Electron Momentum([math]\frac{ND3 B\lt 0}{ND3 B\gt 0}[/math], [math]\frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]) Electron [math]\theta[/math] Angle([math]\frac{ND3 B\lt 0}{ND3 B\gt 0}[/math], [math]\frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]) W mass([math]\frac{ND3 B\lt 0}{ND3 B\gt 0}[/math], [math]\frac{NH3 B\lt 0}{NH3 B\gt 0}[/math])

2.) Target ratio (B< 0/B>0) Difference electron kinematic ([math]\theta[/math], W, Momentum) (Ration for ND3 target - Ratio for NH3 target). ( I expect 1 curves in one plot)

[math]\frac{ND3 B\lt 0}{ND3 B\gt 0} - \frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]

Emomratiodiffinclusive4-2GeV.jpg Ethetaratiodiffinclusive4-2GeV.jpg Wratiodiffinclusive4-2GeV.jpg
Electron Momentum ([math]\frac{ND3 B\lt 0}{ND3 B\gt 0} - \frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]) [math]\theta[/math] Theta Angle([math]\frac{ND3 B\lt 0}{ND3 B\gt 0} - \frac{NH3 B\lt 0}{NH3 B\gt 0}[/math]) W mass([math]\frac{ND3 B\lt 0}{ND3 B\gt 0} - \frac{NH3 B\lt 0}{NH3 B\gt 0}[/math])

Semi-Inclusive

(NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)

EmomSemiInclusiveoverlay4-2GeV.gif EthetaSemiInclusiveoverlay4-2GeV.gif WSemiInclusiveoverlay4-2GeV.gif
Electron Momentum((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)) Electron [math]\theta[/math] Angle((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0)) W mass((NH3,B>0), (NH3,B<0), (ND3,B>0) && (ND3,B<0))

2