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arxiv: 0902.2346 · v1 · submitted 2009-02-13 · ✦ hep-lat · hep-ph

The mass of the Delta resonance in a finite volume: fourth-order calculation

V. Bernard (Paris U. , IPN) , D. Hoja (Bonn U. , HISKP) , U.-G. Mei{\ss}ner (Bonn U. , HISKP , FZ Juelich) , A. Rusetsky (Bonn U. This is my paper
classification ✦ hep-lat hep-ph
keywords finitedeltaexplicitmassquarkresonancesmallvolume
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We calculate the self-energy of the Delta (1232) resonance in a finite volume, 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 pion-nucleon pair in a finite box in terms of both the quark mass and the box size L. It is shown that finite-volume corrections can be sizeable at small quark masses.

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