The mass of the ∆ resonance in a finite volume : fourth - order calculation February 13 , 2009
نویسندگان
چکیده
We calculate the self-energy of the ∆(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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