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Publication Information
Title The resonant pi+y --> pi+pi0 amplitude from Quantum Chromodynamics
Abstract We present the first \emph{ab initio} calculation of a radiative transition of a hadronic resonance within Quantum Chromodynamics (QCD). We compute the amplitude for $\pi\pi \to \pi\gamma^\star$, 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 \emph{unstable} $\rho$ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to $m_\pi \approx 400$~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 $\rho \to \pi\gamma^\star$ form-factor.
Author(s) Jozef Dudek, Robert Edwards, Christian Shultz, David Wilson, Raul Briceno
Publication Date December 2015
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-15-2106 OSTI Number: 1227935
LANL Number: arXiv:1507.06622 Other Number: DOE/OR/23177-3473
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review Letters
Refereed Yes
Volume 115
Issue 24
Page(s) 242001
Attachments/Datasets/DOI Link
Document(s)
rho_to_pi_short.pdf (STI Document)
JLAB-PHY-15-2025.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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