https://doi.org/10.1140/epja/i2011-11163-7
Regular Article - Theoretical Physics
Dynamical coupled-channel approaches on a momentum lattice
1
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
2
Institute for Advanced Simulation and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
3
Institut für Kernphysik, Forschungszentrum Jülich, D-52425, Jülich, Germany
* e-mail: doering@hiskp.uni-bonn.de
Received:
3
August
2011
Revised:
28
October
2011
Accepted:
28
November
2011
Published online:
27
December
2011
Dynamical coupled-channel approaches are a widely used tool in hadronic physics that allow to analyze different reactions and partial waves in a consistent way. In such approaches the basic interactions are derived within an effective Lagrangian framework and the resulting pseudo-potentials are then unitarized in a coupled-channel scattering equation. We propose a scheme that allows for a solution of the arising integral equation in discretized momentum space for periodic as well as anti-periodic boundary conditions. This permits to study finite-size effects as they appear in lattice QCD simulations. The new formalism, at this stage with a restriction to S -waves, is applied to coupled-channel models for the σ(600), f 0(980), and a 0(980) mesons, and also for the Λ(1405) baryon. Lattice spectra are predicted.
© SIF, Springer-Verlag Berlin Heidelberg, 2011
