München 2006 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 30: Theorie

HK 30.5: Vortrag

Mittwoch, 22. März 2006, 15:00–15:15, B

Pion-Nucleon interactions in a chiral linear sigma model with hidden local gauge symmetry — •Susanna Wilms, Dirk-H. Rischke, and Juergen Schaffner-Bielich — Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, 60438 Frankfurt am Main, Germany

We investigate the linear sigma model with U(2)LxU(2)R symmetry. The Lagrangian of this model contains scalar and pseudoscalar mesons. We add vector and axial vector mesons as well as chiral nucleons following the principle of hidden local non-abelian gauge invariance. Chiral symmetry breaking introduces bilinear terms coupling the a1 to the pion as well as the f1 to the eta meson. These terms have to be eliminated by a shift of the axial vector meson fields. This shift generates a p-wave pion-nucleon interaction. In a first step, we investigate pion-nucleon scattering at tree level. Further work focusses on the modifications of hadronic spectral properties in a hot and dense medium.