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

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

2009-02-13

arxiv.org/abs/0902.2346v1

JHEP 0906:061,2009

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 7 figures

Scientific paper

10.1088/1126-6708/2009/06/061

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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