• Media type: E-Article
  • Title: The Delta-resonance in a finite volume
  • Contributor: Bernard, V. [Author]; Meissner, U.G. [Author]; Rusetsky, A. [Author]
  • imprint: North-Holland Publ. Co., 2008
  • Published in: Nuclear physics / B 788, 1 - 20 (2008). doi:10.1016/j.nuclphysb.2007.07.030
  • Language: English
  • DOI: https://doi.org/10.1016/j.nuclphysb.2007.07.030
  • ISSN: 0550-3213
  • Keywords: propagator: pole ; effective Lagrangian: chiral ; energy levels ; quantum chromodynamics ; field theory in a finite volume ; Chiral lagrangians ; lattice field theory ; Baryon resonances ; nucleon resonance: Delta ; numerical calculations ; lattice QCD
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  • Description: We study the extraction of Delta-resonance parameters from lattice data for small quark masses, corresponding to the case of an unstable Delta. To this end, we calculate the spectrum of the correlator of two Delta-fields in a finite Euclidean box up-to-and-including O(epsilon(3)) 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 Delta-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. (c) 2007 Elsevier B.V. All rights reserved.
  • Access State: Open Access