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References - Bogoliubov Laboratory of Theoretical Physics - JINR

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(a) (b)<br />

Figure 3: (a) Selection <strong>of</strong> elastic events using elliptical (Δx, Δy) cutforQ 2 =8.5GeV 2 .<br />

(b) Δp spectrum for Q 2 =8.5GeV 2 after Δp − Δθ and (Δx, Δy) cut.<br />

With significant background, kinematic correlation with the scattered electron becomes<br />

crucial for elastic ep scattering. A drastic background reduction is achieved by<br />

calculating the electron impact point (x, y) in BigCal from the proton momentum, angle<br />

and the beam energy assuming two body ep scattering, and comparing it with the observed<br />

impact point. Elastic events are found at (Δx, Δy) =(0, 0) as shown in figure 3a.<br />

Figure 3b shows the momentum spectrum after Δp and (Δx, Δy) cuts.<br />

Figure 4 shows the variation<br />

<strong>of</strong> the extracted form factor ratio<br />

as a function <strong>of</strong> the estimated<br />

background within the cuts for the<br />

Q 2 <strong>of</strong> 8.5 GeV 2 point. For this<br />

setting, the background increases<br />

much more rapidly as a function<br />

<strong>of</strong> the cut width, which is apparent<br />

in the rapid decrease <strong>of</strong> the uncorrected<br />

form factor ratio. The corrected<br />

form factor ratio in this case<br />

is still independent <strong>of</strong> the background<br />

correction up to statistical<br />

fluctuations in the polarization <strong>of</strong><br />

the extra events accepted by wider<br />

cuts and the uncertainty in the<br />

background polarization used for<br />

Figure 4: Cut width dependence <strong>of</strong> the extracted form factor<br />

ratio, at Q 2 =8.5 GeV 2 .<br />

the correction, demonstrating that the background subtraction is handled correctly.<br />

303

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