Darmstadt 2008 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 34: Postersitzung
HK 34.64: Poster
Donnerstag, 13. März 2008, 14:00–16:00, Poster C3
Transverse momentum distributions of quarks from the lattice using extended gauge links — •Bernhard Musch1, Philipp Hägler1, Andreas Schäfer2, Meinulf Göckeler2, Dru B. Renner3, and John W. Negele4 — 1Physik Department T39, TU München, James-Franck-Straße, D-85747 Garching — 2Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg — 3Theory Group, Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, D-15738 Zeuthen — 4Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA02139, USA
We present preliminary numerical studies in Lattice QCD related to the intrinsic transverse momentum distribution of partons in the nucleon. We employ non-local operators, consisting of spatially separated quark creation and annihilation operators connected by a Wilson line. As an example, we calculate the first x-moment of the transverse momentum dependent parton distribution function f1n=1(kT→) at a pion mass of about 600 MeV [1], using quark propagators provided by LHPC [2]. Our results show a Gaussian-like distribution. The root mean squared transverse momentum is approximately 560 MeV for a single Gaussian fit, close to phenomenological values. Finally, we show that non-local operators offer a new way to analyze the Bjorken-x dependence in PDFs such as f1(x, kT→).
Supported by the DFG Emmy Noether-program, BMBF and U.S. DOE grant DE-FG02-94ER40818.
[1] B. Musch, Ph. Hägler et al., PoS (LATTICE 2007) 155
[2] Ph. Hägler et al., LHPC Collaboration, arXiv:0705.4295