Gießen 2007 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 42: Theorie

HK 42.1: Talk

Thursday, March 15, 2007, 11:15–11:30, C

Moments of Generalized Parton Distribution Functions. — •Marina Dorati¹ and Thomas Hemmert² — ¹Dip. Fisica Teorica, Universita’ di Pavia, Pavia, Italia — ²Physik Dep. T39, Technische Universitaet Muenchen

We apply the formalism of covariant Baryon Chiral Perturbation Theory (BChPT) to the analysis of the moments of the Generalized Parton Distributions (GPDs) of the nucleon. We concentrate on the isovector n=1 case and perfom a O(p⁴) calculation to obtain the vector (A_2,0^v(q²), B_2,0^v(q²),C_2,0^v(q²))[1] and axial vector (Ã_2,0^v(q²), B_2,0^v(q²))[2] Generalized Form Factors at low q². These results can be used for chiral extrapolations of lattice data for GPDs.

Of particular interest is the forward limit, where A_2,0^v(q²=0) corresponds to the averaged momentum fraction ⟨ x⟩_u−d, while Ã_2,0^v(q²=0) is directly connected to its spin dependent analogue ⟨Δ x⟩_u−d . Both quantities are known from phenomenology and lattice data for these moments are also available.

Work supported in part by BMBF and INFN.

[1] U.-G Meissner, G. Schierholz, Lattice QCD, Chiral Perturbation Theory and Hadron Phenomenology Mini-proceedings of workshop at ECT*, Trento, Italy, October 2-6 2006, hep-ph/0611072.

M. Dorati, T.A Gail, T.R. Hemmert, forthcoming.

[2] M. Dorati, T.R. Hemmert, forthcoming.