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

Abstract : We calculate the self-energy of the Δ(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 para\-meterization 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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http://hal.in2p3.fr/in2p3-00424600
Contributor : Sophie Heurteau <>
Submitted on : Friday, October 16, 2009 - 2:57:59 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:54 PM

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V. Bernard, D. Hoja, U.-G. Meißner, A. Rusetsky. The mass of the Delta resonance in a finite volume: fourth-order calculation. Journal of High Energy Physics, Springer, 2009, 06(2009), pp.061. ⟨10.1088/1126-6708/2009/06/061⟩. ⟨in2p3-00424600⟩

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