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ππ→πγ$^{∗}$ amplitude and the resonant ρ→πγ$^{∗}$ transition from lattice QCD

dc.creatorBriceño, Raúl A
dc.creatorDudek, Jozef J
dc.creatorEdwards, Robert G
dc.creatorShultz, Christian J
dc.creatorThomas, Christopher Edward
dc.creatorWilson, David John
dc.creatorHadron, Spectrum Collaboration
dc.date.accessioned2016-05-18
dc.date.accessioned2018-11-24T23:18:58Z
dc.date.available2016-06-17T11:20:55Z
dc.date.available2018-11-24T23:18:58Z
dc.date.issued2016-06-10
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/256359
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3381
dc.description.abstractWe present a determination of the P-wave ππ→πγ$^{⋆}$ transition amplitude from lattice quantum chromodynamics. Matrix elements of the vector current in a finite volume are extracted from three-point correlation functions, and from these we determine the infinite-volume amplitude using a generalization of the Lellouch-Lüscher formalism. We determine the amplitude for a range of discrete values of the ππ energy and virtuality of the photon and observe the expected dynamical enhancement due to the ρ resonance. Describing the energy dependence of the amplitude, we are able to analytically continue into the complex energy plane and from the residue at the ρ pole extract the ρ→πγ$^{⋆}$ transition form factor. This calculation, at m$_{π}$ ≈ 400  MeV, is the first to determine the form factor of an unstable hadron within a first principles approach to QCD.
dc.languageen
dc.publisherAmerican Physical Society
dc.publisherPhysical Review D
dc.titleππ→πγ$^{∗}$ amplitude and the resonant ρ→πγ$^{∗}$ transition from lattice QCD
dc.typeArticle


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