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Resonances in Coupled-Channel Scattering

Published version
Peer-reviewed

Type

Article

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Authors

Wilson, DJ 

Abstract

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like π, K and η. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain coupled-channel scattering amplitudes from lattice QCD. Using large diverse bases of operators it is possible to obtain reliable finite volume spectra at energies where multiple channels are open. Utilising the finite volume formalism proposed by Lüscher and extended by several others, scattering amplitudes can be extracted from the finite volume spectra. Recent applications will be discussed where the energy dependence of scattering amplitudes is mapped out in several quantum numbers. These are then continued to complex energies to extract resonance poles and couplings.

Description

Keywords

hep-lat, hep-lat, hep-ph

Journal Title

Proceedings of Science

Conference Name

Journal ISSN

1824-8039

Volume Title

Lattice2016

Publisher

Proceedings of Science

Publisher DOI

Publisher URL

Sponsorship
This work was supported by a grant from the Simons Foundation to the Hamilton Mathematics Institute at Trinity College Dublin, and the Isaac Newton Trust/University of Cambridge Early Career Support Scheme [RG74916].