https://doi.org/10.1140/epja/i2007-10562-7
Regular Article - Theoretical Physics
Analysis of the Δ -resonance in a finite volume⋆
1
Laboratoire de Physique Théorique, Université Louis Pasteur, 3-5, rue de l'Université, F-67084, Strasbourg, France
2
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
3
Institut für Kernphysik (Theorie), Forschungszentrum Jülich, D-52425, Jülich, Germany
* e-mail: rusetsky@itkp.uni-bonn.de
Received:
19
December
2007
Accepted:
21
January
2008
Published online:
24
March
2008
We discuss Lüscher's approach for the extraction of the Δ -resonance parameters from lattice QCD data. Within this approach, we propose a novel strategy to analyze the data corresponding to the finite volume energy spectrum. By using the new method, it is further demonstrated that Lüscher's approach allows one to determine the mass and width of the Δ at a reasonable accuracy, despite the fact that the “avoided level crossing” in the energy spectrum has been washed out due to the large width of the resonance.
PACS: 12.38.Gc Lattice QCD calculations – / 14.20.Gk Baryon resonances with S = 0 –
© Società Italiana di Fisica and Springer-Verlag, 2008
