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Dynamical coupled-channel approaches on a momentum lattice

  • Regular Article - Theoretical Physics
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Abstract

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.

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Authors and Affiliations

  1. Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany

    M. Döring, U. -G. Meißner & A. Rusetsky

  2. Institute for Advanced Simulation and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany

    J. Haidenbauer & U. -G. Meißner

  3. Institut für Kernphysik, Forschungszentrum Jülich, D-52425, Jülich, Germany

    J. Haidenbauer & U. -G. Meißner

Authors
  1. M. Döring
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  2. J. Haidenbauer
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  3. U. -G. Meißner
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  4. A. Rusetsky
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Correspondence to M. Döring.

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Communicated by S. Hands

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Döring, M., Haidenbauer, J., Meißner, U.G. et al. Dynamical coupled-channel approaches on a momentum lattice. Eur. Phys. J. A 47, 163 (2011). https://doi.org/10.1140/epja/i2011-11163-7

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  • DOI: https://doi.org/10.1140/epja/i2011-11163-7

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