Resonant [pi] super(+) [gamma] [arrowright] [pi] super(+)[pi] super(0) Amplitude from Quantum Chromodynamics

We present the first ab initio calculation of a radiative transition of a hadronic resonance within quantum chromodynamics (QCD). We compute the amplitude for [pi][pi] [arrowright] [pi][gamma]*, as a function of the energy of the [pi][pi] pair and the virtuality of the photon, in the kinematic regim...

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Bibliographic Details
Published in:Physical review letters 2015-12, Vol.115 (24)
Main Authors: Briceno, Raul A, Dudek, Jozef J, Edwards, Robert G, Shultz, Christian J, Thomas, Christopher E, Wilson, David J
Format: Article
Language:English
Subjects:
Amplitudes
Asymptotic properties
Discretization
Kinematics
Mathematical analysis
Photons
Quantum chromodynamics
Residues
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Summary:We present the first ab initio calculation of a radiative transition of a hadronic resonance within quantum chromodynamics (QCD). We compute the amplitude for [pi][pi] [arrowright] [pi][gamma]*, as a function of the energy of the [pi][pi] pair and the virtuality of the photon, in the kinematic regime where [pi][pi] couples strongly to the unstable [rho] resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to m sub([pi]) [asymptotically =] 400 MeV. We obtain a description of the energy dependence of the transition amplitude, constrained at 48 kinematic points, that we can analytically continue to the [rho] pole and identify from its residue the [rho] [arrowright][pi][gamma]* form factor.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.115.242001