W-D. Nowak - INFN

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Wolf-Dieter <strong>Nowak</strong>, Perspectives in Hadronic Physics, May 15, 2008 – p. 2 Table of Contents ⊲ 3-dimensional picture of the nucleon ⊲ Proton spin budget in a nutshell ⊲ DIS results: Quark & gluon contributions, QCD fits ⊲ Deeply Virtual Compton Scattering (DVCS) ⊲ Beam-charge and beam-spin asymmetries ⊲ Transverse target-spin asymmetries ⊲ Model-dependent constraints on J u vs. J d ⊲ Summary and Outlook
Wolf-Dieter <strong>Nowak</strong>, Perspectives in Hadronic Physics, May 15, 2008 – p. 3 3-dimensional Picture of the Proton Nucleon momentum in Infinite Momentum Frame: (p γ ∗ + p nucl ) z → ∞ • Form factor y • Parton density δ z ⊥ xp y • Generalized parton distribution at =0 δ z ⊥ xp y b ⊥ z b ⊥ x z x z x f ( x) f ( x, b ) ⊥ ρ( b ⊥ ) 0 b ⊥ x 1 0 x 1 0 b ⊥ Nucleon’s transv. charge distribution given by 2-dim. Fourier transform of Form Factor: ⇒ Parton’s transverse localization b ⊥ Probability density to find partons of given long. mom. fraction x at resol. scale 1/Q 2 (no transv. inform.) ⇒ Parton’s longitudinal momentum distribution function (PDF) f(x) Generalized Parton Distrib. s (GPDs) probe simultaneously transverse localization b ⊥ for a given longitudinal momentum fraction x. 2nd moment by Ji relation: J q,g = 1 2 lim t→0 R x dx [H q,g (x, ξ, t) + E q,g (x, ξ, t)]
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W-D. Nowak - INFN

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