Position Space Interpretation for Generalized Parton Distributions

simple model for E q (x, 0, −∆ 2 ⊥ )
For simplicity, make ansatz where E q ∝ H q
with
E u (x, 0, −∆ 2 ⊥) = κp u
2 H u(x, 0, −∆ 2 ⊥)
E d (x, 0, −∆ 2 ⊥) = κ p d H d(x, 0, −∆ 2 ⊥)
κ p u = 2κ p + κ n = 1.673
κ p d = 2κ n + κ p = −2.033.
Satisfies: ∫ dxE q (x, 0, 0) = κ P q
Model too simple but illustrates that anticipated distortion is very
significant since κ u and κ d known to be large!
Position Space Interpretation for Generalized Parton Distributions – p.21/55