Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-03-10
Phys.Rev.D79:093007,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, 28 figures, version accepted by PRD
Scientific paper
10.1103/PhysRevD.79.093007
We compare a recent lattice determination of the nucleon distribution amplitudes with other approaches and models. We study the nucleon distribution amplitudes up to twist 6 in next-to leading conformal spin and we also investigate conformal d-wave contributions to the leading twist distribution amplitude. With the help of light-cone sum rules one can relate the distribution amplitudes to the form factors of the nucleon or the $ N \to \Delta$ transition at intermediate values of the momentum transfer. We compare our results with experimental data in the range 1 GeV$^2 \leq Q^2 \leq 10$ GeV$^2$. Keeping in mind that we are working only in LO QCD and NLO-QCD corrections might be sizeable we already obtain a surprisingly good agreement for the nucleon form factors $G_M^n$, $G_M^p$, $G_A^p$ and $G_T^p$ and for the $N \to \Delta$ transition form factor ratios $R_{EM}$ and $R_{SM}$.
Göckeler Meinulf
Kaltenbrunner Thomas
Lenz Alexander
Warkentin Nikolaus
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