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Type: Conference paper
Title: Baryon resonances and hadronic interactions in a finite volume
Author: Hall, J.
Hsu, A.
Leinweber, D.
Thomas, A.
Young, R.
Citation: PoS (Lattice 2012); 145
Publisher: Proceedings of Science
Publisher Place: Italy
Issue Date: 2012
ISSN: 1824-8039
Conference Name: International Symposium on Lattice Field Theory (30th : 2012 : Cairns, Australia)
Statement of
J. M. M. Hall, A. C. P. Hsu, D. B. Leinweber, A. W. Thomas and R. D. Young
Abstract: In 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.
Description: Extent: 7p.
Rights: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence
RMID: 0020126955
DOI: 10.22323/1.164.0145
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Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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