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arXiv · 0902.2346

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

V. Bernard·D. Hoja·U. -G. Meißner·A. Rusetsky
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Abstract

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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V. Bernard, D. Hoja, U. -G. Meißner, A. Rusetsky. 2009-02-13. The mass of the Delta resonance in a finite volume: fourth-order calculation. https://doi.org/10.1088/1126-6708%2F2009%2F06%2F061

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