Dynamical coupled-channel approaches on a momentum lattice

Döring, M.; Rusetsky, A.; Meißner, U.-G.; Haidenbauer, J.

doi:10.1140/epja/i2011-11163-7

Journal Article

PreJuSER-19580

Dynamical coupled-channel approaches on a momentum lattice

Döring, M. ; Haidenbauer, J.FZJ* ; Meißner, U.-G.FZJ* ; Rusetsky, A.

2011
Springer Berlin

The European physical journal / A 47, 163 (2011) [10.1140/epja/i2011-11163-7]

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Please use a persistent id in citations: http://hdl.handle.net/2128/10270 doi:10.1140/epja/i2011-11163-7

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 sigma(600), f(0)(980), and a(0)(980) mesons, and also for the Lambda(1405) baryon. Lattice spectra are predicted.

Keyword(s): model: coupled channel ; boundary condition ; finite size: effect ; momentum: discrete ; integral equations: solution ; effective Lagrangian ; partial wave ; Lambda(1405) ; unitarity ; a0(980) ; f0(980) ; f0(600) ; Lippmann-Schwinger equation ; potential ; numerical calculations ; hadron: exchange ; meson meson: scattering ; phase shift ; energy levels

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Note: This work is supported by the Helmholtz Association by funds provided to the virtual institute "Spin and Strong QCD" (VH-VI-231), by the EU-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter" (HadronPhysics2, grant no. 227431) under the Seventh Framework Program of the EU, by the DFG (TR 16 and "Sachbeihilfe" GZ: DO 1302/1-2), and by COSY FFE under contract 41821485 (COSY 106). A.R. acknowledges support of the Georgia National Science Foundation (Grant #GNSF/ST08/4-401).; 7 pages, 4 figures; 7 pages, 4 figures

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