Baryon resonances and hadronic interactions in a finite volume

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dc.contributor.authorHall, J.
dc.contributor.authorHsu, A.
dc.contributor.authorLeinweber, D.
dc.contributor.authorThomas, A.
dc.contributor.authorYoung, R.
dc.contributor.conferenceInternational Symposium on Lattice Field Theory (30th : 2012 : Cairns, Australia)
dc.date.issued2012
dc.descriptionExtent: 7p.
dc.description.abstractIn a finite volume, resonances and multi-hadron states are identified by discrete energy levels. When comparing the results of lattice QCD calculations to scattering experiments, it is important to have a way of associating the energy spectrum of the finite-volume lattice with the asymptotic behaviour of the S-matrix. A new technique for comparing energy eigenvalues with scattering phase shifts is introduced, which involves the construction of an exactly solvable matrix Hamiltonian model. The model framework is applied to the case of ∆ → Nπ decay, but is easily generalized to include multi-channel scattering. Extracting resonance parameters involves matching the energy spectrum of the model to that of a lattice QCD calculation. The resulting fit parameters are then used to generate phase shifts. Using a sample set of pseudodata, it is found that the extraction of the resonance position is stable with respect to volume for a variety of regularization schemes, and compares favorably with the well-known Lüscher method. The model-dependence of the result is briefly investigated.
dc.description.statementofresponsibilityJ. M. M. Hall, A. C. P. Hsu, D. B. Leinweber, A. W. Thomas and R. D. Young
dc.description.urihttp://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=164
dc.identifier.citationPoS (Lattice 2012); 145
dc.identifier.doi10.22323/1.164.0145
dc.identifier.issn1824-8039
dc.identifier.orcidHall, J. [0000-0002-7719-1103]
dc.identifier.orcidLeinweber, D. [0000-0002-4745-6027]
dc.identifier.orcidThomas, A. [0000-0003-0026-499X]
dc.identifier.orcidYoung, R. [0000-0002-4527-1811]
dc.identifier.urihttp://hdl.handle.net/2440/77617
dc.language.isoen
dc.publisherProceedings of Science
dc.publisher.placeItaly
dc.rights© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence
dc.source.urihttp://pos.sissa.it/archive/conferences/164/145/Lattice%202012_145.pdf
dc.titleBaryon resonances and hadronic interactions in a finite volume
dc.typeConference paper
pubs.publication-statusPublished

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