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The Δ-resonance in a finite volume

Abstract : We study the extraction of Δ-resonance parameters from lattice data for small quark masses, corresponding to the case of an unstable Δ. To this end, we calculate the spectrum of the correlator of two Δ-fields in a finite Euclidean box up-to-and-including O(ϵ3) in the small scale expansion using infrared regularization. On the basis of our numerical study, we argue that the extraction of the parameters of the Δ-resonance (in particular, of the mass and the pion-nucleon-delta coupling constant) from the measured volume dependence of the lowest energy levels should be feasible.
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Submitted on : Monday, September 9, 2013 - 3:36:18 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:29 PM

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V. Bernard, Ulf.G. Meißner, A. Rusetsky. The Δ-resonance in a finite volume. Nuclear Physics B, Elsevier, 2008, 788, pp.1-20. ⟨10.1016/j.nuclphysb.2007.07.030⟩. ⟨in2p3-00859845⟩

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