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Update on E12-07-109: Large Acceptance Proton Form Factor ... - Infn

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0.76<br />

0.74<br />

0.72<br />

0.7<br />

0.68<br />

0.66<br />

0.64<br />

0.62<br />

0.6<br />

0.58<br />

!G E /G M 2.5 GeV 2<br />

BLW<br />

hadr<strong>on</strong>ic<br />

GPD<br />

COZ LO pQCD<br />

Born approx.<br />

GEP-I 2.47 GeV 2<br />

GEP-2G PRELIMINARY<br />

0.56<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

!<br />

Figure 3: Preliminary result for the<br />

prot<strong>on</strong> form factor ratio measured in<br />

GEp-2γ experiment [7] as a functi<strong>on</strong> of<br />

the virtual phot<strong>on</strong> polarizati<strong>on</strong> ε. The<br />

plot shows also the GEp(1) [26] result<br />

and hadr<strong>on</strong>ic [9], GPD [34], and<br />

pQCD [35] two-phot<strong>on</strong> exchange calculati<strong>on</strong>s.<br />

Vertical lines indicate the<br />

lower limit of the validity of the corresp<strong>on</strong>ding<br />

calculati<strong>on</strong>s.<br />

for the GPD calculati<strong>on</strong>s, the two-phot<strong>on</strong> exchange effects increase very slowly with Q 2 . Interestingly, the<br />

pQCD calculati<strong>on</strong>s show the opposite: a slight decrease of the two-phot<strong>on</strong> effects with Q 2 .<br />

6 <str<strong>on</strong>g>Update</str<strong>on</strong>g>d kinematics of the measurements<br />

Q 2 Ebeam beam time pp θSBS Ee θBigCal ∆[ µGE/GM]<br />

GeV 2 GeV days GeV deg GeV deg<br />

optics 6.6 4 28.0<br />

5.0 6.6 1 3.48 28.0 3.94 26.3 0.023<br />

10.0 8.8 10 6.20 16.7 3.47 35.3 0.065<br />

14.5 11. 45 8.61 12.0 3.27 39.0 0.135<br />

Table 1: The kinematics of the proposed data points.<br />

Because of the importance of the precise measurements at high Q 2 , we decided to have <strong>on</strong>e precise<br />

measurement at 14.5 GeV 2 (instead of two neighboring points at 13 and 15 GeV 2 as in the original proposal)<br />

and two points at about 5 and 10 GeV 2 . This will be achieved by reducing the horiz<strong>on</strong>tal sizes of the<br />

detectors and thus, effectively reducing the Q 2 acceptance, but increasing the vertical aceptance and the<br />

event rates per unit Q 2 interval, while keeping the detector area and the number of channels the same.<br />

The optimized acceptance and use of beam time provides more power to discriminate am<strong>on</strong>g different<br />

theoretical predicti<strong>on</strong>s, while keeping the same total beam time as in the original proposal. The kinematical<br />

quantities and anticipated errors for these points are summarized in Table 1. Including four days for optical<br />

and spin transport studies, we have in total 60 days of beam <strong>on</strong> target, as it was requested in the approved<br />

experiment <strong>E12</strong>-<strong>07</strong>-<strong>109</strong>.<br />

8

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