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Position Space Interpretation for Generalized Parton Distributions

Position Space Interpretation for Generalized Parton Distributions

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Deeply Virtual Compton Scattering (DVCS)<br />

T µν<br />

∫<br />

= i<br />

d 4 z e i¯q·z 〈 p ′ ∣ ∣∣<br />

TJ µ ( − z 2<br />

)<br />

( J ν z<br />

)∣ ∣∣<br />

p〉<br />

2<br />

Bj<br />

↩→<br />

gµν ⊥<br />

2<br />

∫ 1<br />

−1<br />

(<br />

)<br />

1<br />

dx<br />

x−ξ+iε + 1<br />

H(x, ξ, ∆ 2 )ū(p ′ )γ + u(p) + ...<br />

x+ξ−iε<br />

back ¯q = (q+q ′ )/2 ∆ = p ′ −p x Bj ≡ −q 2 /2p·q = 2ξ(1+ξ)<br />

<strong>Position</strong> <strong>Space</strong> <strong>Interpretation</strong> <strong>for</strong> <strong>Generalized</strong> <strong>Parton</strong> <strong>Distributions</strong> – p.55/55

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