Bochum 2009 – scientific programme
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HK: Fachverband Hadronen und Kerne
HK 13: Hadron Structure and Spectroscopy I
HK 13.9: Talk
Monday, March 16, 2009, 18:30–18:45, H-ZO 20
The mass of the Δ resonance in a finite volume: fourth-order calculations — •Dominik Hoja1,2, Véronique Bernard3, Ulf-G. Meißner1,2,4, and Akaki Rusetsky1,2 — 1Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn — 2Bethe Center for Theoretical Physics, Universität Bonn — 3Université Louis Pasteur, Laboratoire de Physique Théorique — 4Institut für Kernphysik und Jülich Center for Hadron Physics, Forschungszentrum Jülich
The self-energy of the Δ resonance in a finite volume is calculated by using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion and yield an explicit parameterization of the energy spectrum of the interacting π N pair in a finite box in terms of both the quark mass and the box size L. We show that finite-volume corrections are sizable at small quark masses. The values of certain low-energy constants are extracted from fitting to the available data in lattice QCD.
Work supported in part by DFG (TR 16).