dc.contributor.author Woss, Antoni en dc.contributor.author Thomas, Christopher en dc.contributor.author Dudek, JJ en dc.contributor.author Edwards, RG en dc.contributor.author Wilson, David en dc.date.accessioned 2018-09-05T12:48:38Z dc.date.available 2018-09-05T12:48:38Z dc.date.issued 2018-07-01 en dc.identifier.issn 1126-6708 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/279572 dc.description.abstract We present the first determination of $\rho \pi$ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 $\rho \pi$, we calculate partial-wave amplitudes with $J \le 3$ and determine the degree of dynamical mixing between the coupled $S$ and $D$-wave channels with $J^P=1^+$. The analysis makes use of the relationship between scattering amplitudes and the discrete spectrum of states in the finite volume lattice. Constraints on the scattering amplitudes are provided by over one hundred energy levels computed on two lattice volumes at various overall momenta and in several irreducible representations of the relevant symmetry groups. The spectra follow from variational analyses of matrices of correlations functions computed with large bases of meson-meson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass so that $m_\pi \sim 700$ MeV, ensuring that the $\rho$ is stable against strong decay. This work demonstrates the successful application of techniques, opening the door to calculations of scattering processes that incorporate the effects of dynamically-coupled partial-waves, including those involving resonances or bound states. dc.publisher Springer Berlin Heidelberg dc.rights Attribution 4.0 International (CC BY 4.0) dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.title Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD en dc.type Article prism.issueIdentifier 7 en prism.publicationDate 2018 en prism.publicationName Journal of High Energy Physics en prism.volume 2018 en dc.identifier.doi 10.17863/CAM.26944 dcterms.dateAccepted 2018-06-20 en rioxxterms.versionofrecord 10.1007/JHEP07(2018)043 en rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved en rioxxterms.licenseref.startdate 2018-07-01 en dc.contributor.orcid Woss, Antoni [0000-0002-7377-8812] dc.contributor.orcid Thomas, Christopher [0000-0001-8817-4977] dc.contributor.orcid Wilson, David [0000-0003-2364-1161] dc.identifier.eissn 1029-8479 rioxxterms.type Journal Article/Review en pubs.funder-project-id STFC (ST/P000681/1) pubs.funder-project-id STFC (1628534)
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Except where otherwise noted, this item's licence is described as Attribution 4.0 International (CC BY 4.0)