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References - Bogoliubov Laboratory of Theoretical Physics - JINR

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y the nearly 1000 combined citations <strong>of</strong> these papers and several review papers <strong>of</strong> nucleon<br />

form factors [5–8]. An entirely new picture <strong>of</strong> the structure <strong>of</strong> the proton has emerged<br />

after the GEp-I and GEp-II experiments showed that the ratio GEp/GMp was in fact not<br />

constant, and decreased by a factor <strong>of</strong> 3.7 over the Q 2 range <strong>of</strong> 1 to 5.6 GeV 2 . These<br />

results are illustrated in Fig. 1, where they are also compared with Rosenbluth separation<br />

data [9–12].<br />

The meaning <strong>of</strong> the results seen in Fig.<br />

1 is that the spatial distribution <strong>of</strong> the<br />

electric charge <strong>of</strong> the proton is “s<strong>of</strong>ter”,<br />

i.e. larger in extent (in the Breit frame),<br />

than its magnetization currents distribution,<br />

which is definitively not intuitive.<br />

However, the relativistic boost required to<br />

transform these spatial distributions back<br />

to the laboratory frame are not trivial and<br />

only the form factors themselves are relativistic<br />

invariants. Recently G.A. Miller<br />

[14] has shown that an invariant charge distribution<br />

can only be defined on the wave<br />

front; the two-dimensional charge density<br />

on the wave front is the Fourier transform<br />

<strong>of</strong> the Dirac form factor, F1.<br />

It is well known by now that GEp is<br />

difficult to obtain from Rosenbluth separation,<br />

a technique which is also especially<br />

Figure 1: Comparison <strong>of</strong> μpGEp/GMp from the two<br />

JLab polarization data (filled circle and square) [3,4],<br />

and Rosenbluth separation data (empty triangle) [9–<br />

12]; dashed curve is a re-fit <strong>of</strong> Rosenbluth data [13];<br />

solid curve is an updated form <strong>of</strong> the fit in ref. [4].<br />

sensitive to systematics errors and subject to large, ɛ-dependent radiative corrections.<br />

The two-photon exchange contribution, neglected in the past, has been shown to be an<br />

important term to add to the standard radiative corrections for cross section data; it has<br />

a strong ɛ-dependence and brings the Rosenbluth form factor ratio closer to the recoil<br />

polarization results [15, 16]. Two-photon contributions are expected to affect the recoil<br />

polarization results only very weakly [16].<br />

Following the unexpected results from the polarization experiments, a new experiment,<br />

GEp-III [17], was approved to extend the Q 2 -range to 9 GeV 2 in Hall C; and to check<br />

the hypotheses <strong>of</strong> two-photon exchange contribution in ep elastic scattering, the GEp-2γ<br />

experiment [18], using recoil polarization, was approved to measure the ratio at Q 2 <strong>of</strong> 2.5<br />

GeV 2 for three different kinematics. Two new detectors were built by the collaboration<br />

to carry out these experiments; a large solid-angle electromagnetic calorimeter and a<br />

double focal plane polarimeter. In both experiments the recoil protons were detected in<br />

the high momentum spectrometer (HMS) equipped with the new focal plane polarimeter.<br />

The scattered electrons were detected in a new lead glass calorimeter (BigCal) built for<br />

this purpose out <strong>of</strong> 1744 glass bars, 4x4 cm 2 each, giving a total frontal area <strong>of</strong> 2.6 m 2 ,<br />

which provides complete kinematical matching. This experiment finished taking data in<br />

the spring <strong>of</strong> 2008. The data analysis is in progress. In this paper, we will describe the<br />

recoil polarization method, the experimental results, and discuss the status <strong>of</strong> the proton<br />

elastic electromagnetic form factor data, including the latest results from the GEp-III and<br />

GEp-2γ experiments, and compare them to a number <strong>of</strong> theoretical predictions.<br />

300

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