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HK: Fachverband Hadronen und Kerne

HK 14: Hadron Structure and Spectroscopy II

HK 14.5: Vortrag

Montag, 16. März 2009, 18:00–18:15, H-ZO 30

Transverse Momentum Distributions of Quarks in the Nucleon from Lattice QCD — •Bernhard Musch1, Philipp Hägler1, John Negele2, Andreas Schäfer3, and Dru Renner41Institut für Theoretische Physik T39, Technische Universität München, D-85747 Garching, Germany — 2Massachusetts Institute of Technology, Cambridge, MA02139, USA — 3Universität Regensburg, D-93040 Regensburg, Germany — 4Deutsches Elektronen-Synchrotron DESY, D-15738 Zeuthen, Germany

Transverse momentum dependent parton distribution functions encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients for our understanding of, e.g., azimuthal asymmetries in SIDIS. We present first lattice calculations, based on MILC gauge configurations and propagators from LHPC [1]. We employ non-local operators, consisting of spatially separated quark creation and annihilation operators connected by a straight Wilson line, whose renormalization requires the removal of a divergence linear in the lattice cutoff 1/a. In the kinematical range accessible to us, the resulting distributions show a Gaussian behavior with respect to transverse momentum. Moreover, we find that the transverse momentum densities of polarized quarks in a polarized nucleon are deformed, i.e., not axially symmetric.

Supported by the DFG Emmy Noether-program, BMBF, U.S. DOE grant DE-FG02-94ER40818 and the Excellence Cluster Universe.

[1] B. Musch, Ph. Hägler et al, PoS LC2008 053

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