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The Form Factors of the Nucleons: Present Status - Fisica

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Two-photon exchange is next term to <strong>the</strong> Born approximation. Affects<br />

form factor observables through interference between <strong>the</strong> single- and<br />

two-photon processes. Requires third form factor, and modification <strong>of</strong><br />

G Ep and G Mp .<br />

with:<br />

u(p, λN) (GM γμ − F2Pμ /M + F3 γ·K Pμ /M2 ~ ~<br />

) u(p, λN) ~ ~ ~ ~<br />

GM = GM + δGM, and GE = GE + δGE, YM ≡ Re (δGM/GM); YE ≡ Re (δGE/GM); Y3≡ (ν/M2 Define<br />

~<br />

~<br />

) Re (F3/GM) <strong>The</strong>n, in double-polarization experiments, <strong>the</strong> measured Pt/Pl ratio<br />

Contains 3 additional terms from two-photon exchange<br />

P /P =<br />

t l<br />

2ε<br />

τ(1+<br />

ε)<br />

<br />

<br />

<br />

<br />

<br />

G<br />

M<br />

E<br />

G<br />

+ Y<br />

E<br />

<br />

2/17/2013 C.F. Perdrisat SAEMP Trento 2013<br />

43<br />

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G<br />

M<br />

E<br />

G<br />

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<br />

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<br />

<br />

Y<br />

M<br />

+<br />

1<br />

2ε<br />

1+<br />

ε<br />

<br />

<br />

<br />

<br />

<br />

<br />

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<br />

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<br />

G<br />

M<br />

E<br />

G<br />

<br />

<br />

<br />

<br />

<br />

Y<br />

3

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