Position Space Interpretation for Generalized Parton Distributions
Position Space Interpretation for Generalized Parton Distributions
Position Space Interpretation for Generalized Parton Distributions
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Boosts in nonrelativistic QM<br />
⃗x ′ = ⃗x + ⃗vt t ′ = t<br />
purely kinematical (quantization surface t = 0 inv.)<br />
↩→ 1. boosting wavefunctions very simple<br />
q ⃗v (⃗p 1 , ⃗p 2 ) = q ⃗ 0 (⃗p 1 − m 1 ⃗v, ⃗p 2 − m 2 ⃗v).<br />
2. dynamics of center of mass<br />
⃗R ≡ ∑ i<br />
x i ⃗r i with x i ≡ m i<br />
M<br />
decouples from the internal dynamics<br />
<strong>Position</strong> <strong>Space</strong> <strong>Interpretation</strong> <strong>for</strong> <strong>Generalized</strong> <strong>Parton</strong> <strong>Distributions</strong> – p.37/55