Eur. Phys. J. A (2011) 47: 139
https://doi.org/10.1140/epja/i2011-11139-7

Regular Article - Theoretical Physics

Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector

¹ Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
² Forschungszentrum Jülich, Jülich Center for Hadron Physics, Institut für Kernphysik (IKP-3) and Institute for Advanced Simulation (IAS-4), D-52425, Jülich, Germany
³ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

Received: 20 July 2011
Accepted: 25 October 2011
Published online: 22 November 2011

Abstract

We develop a scheme for the extraction of the properties of the scalar mesons f ₀(600) , f ₀(980) , and a ₀(980) from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in a finite volume. In order to discuss the feasibility of finding the mass and width of the scalar resonances, we analyze synthetic lattice data with a fixed error assigned, and show that the framework can be indeed used for an accurate determination of resonance pole positions in the multichannel scattering.