The Δ-resonance in a finite volume

2007/02/07 by Véronique Bernard, Ulf-G. Meißner, Akaki Rusetsky
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.07.030

published as Nucl.Phys.B788:1-20,2008 · 20 pages, 8 postscript figures

arxiv created 2007/02/07 · openalex publication_date 2007/08/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 Euclidian box up-to-and-including O(epsilon³) 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.

Citations

• Finite-volume effects for two-hadron states in moving frames
• Chiral extrapolations and the covariant small scale expansion☆☆This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contract number RII3-CT-2004-506078. Work supported in part by DFG (SFB/TR 16, “Subnuclear Structure of Matter”) and BMBF.