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Wave functions of the nucleon and its parity partner
from lattice QCD

Warkentin, Nikolaus and Braun, Vladimir M. and Göckeler, Meinulf and Kaltenbrunner, Thomas and Schäfer, Andreas and Schierholz, Gerrit and Nakamura, Yoshifumi and Pleiter, Dirk and Horsley, Roger and Zanotti, James M. and Rakow, Paul E. L and Stüben, Hirnnerk (2008) Wave functions of the nucleon and its parity partner
from lattice QCD. Proceedings of Science PoS(LA, p. 154.

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Abstract

We compute moments of distribution amplitudes using gauge configurations with two flavors of clover fermions from QCDSF/DIK and operators which are optimized with respect to their behavior under the lattice symmetries. The knowledge of these quantities helps in understanding the internal structure of hadrons and in the analysis of (semi-)exclusive processes. We present results for the nucleon distribution amplitude which suggest that the asymmetries (the deviations from the asymptotic form) are smaller than indicated by sum rule calculations. Using the same approach we were also able to calculate the same quantities for the $N^\star(1535)$ , the parity partner of the nucleon. These results show a stronger deviation from the asymptotic form.