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Bochum 2009 – scientific programme

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HK: Fachverband Hadronen und Kerne

HK 47: Hadron Structure and Spectroscopy II

HK 47.5: Talk

Wednesday, March 18, 2009, 15:00–15:15, H-ZO 30

A method to measure the KN scattering length in lattice QCD — •Michael Lage1,2, Ulf-G. Meißner1,2,3, and Akaki Rusetsky1,21Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn — 2Bethe Center for Theoretical Physics, Universität Bonn — 3Institut für Kernphysik (Theorie), Forschungszentrum Jülich

As first shown by Lüscher, finite volume simulations of the energy levels of two-particle states can give access to scattering information in the infinite volume. However, for the extraction of the KN scattering length, a generalization of this scheme is called for since there is a strong channel coupling between KN and Σ π, the latter channel having its threshold about 100 MeV below the opening of the K N one. In addition, the appearance of the Λ (1405) just between these two thresholds further complicates the picture. We propose a method to determine the (complex) KN scattering length in lattice QCD, using an appropriate modification of Lüscher’s formula.

Work supported in parts by DFG (TR 16).

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