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Isoscalar ππ Scattering and the σ Meson Resonance from QCD

dc.creatorBriceño, RA
dc.creatorDudek, JJ
dc.creatorEdwards, RG
dc.creatorWilson, David John
dc.date.accessioned2016-12-12
dc.date.accessioned2018-11-24T23:19:37Z
dc.date.available2017-03-08T11:49:13Z
dc.date.available2018-11-24T23:19:37Z
dc.date.issued2017-01-13
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/262931
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3487
dc.description.abstractWe present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum, we obtain the $\textit{S}$-wave phase shift up to the $K\overline{K}$ threshold. Calculations are performed at two values of the $\textit{u}$, $\textit{d}$ quark mass corresponding to $\textit{m}_{\pi} = 236, 391$ MeV , and the resulting amplitudes are described in terms of a σ meson which evolves from a bound state below the ππ threshold at the heavier quark mass to a broad resonance at the lighter quark mass.
dc.languageen
dc.publisherAmerican Physical Society
dc.publisherPhysical Review Letters
dc.titleIsoscalar ππ Scattering and the σ Meson Resonance from QCD
dc.typeArticle


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