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Resonant π^{+}γ→π^{+}π^{0} Amplitude from Quantum Chromodynamics.

Accepted version
Peer-reviewed

Repository DOI


Type

Article

Change log

Authors

Briceño, Raúl A 
Dudek, Jozef J 
Edwards, Robert G 
Shultz, Christian J 
Thomas, Christopher E 

Abstract

We present the first ab initio calculation of a radiative transition of a hadronic resonance within quantum chromodynamics (QCD). We compute the amplitude for ππ→πγ^{⋆}, as a function of the energy of the ππ pair and the virtuality of the photon, in the kinematic regime where ππ couples strongly to the unstable ρ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to m_{π}≈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 ρ pole and identify from its residue the ρ→πγ^{⋆} form factor.

Description

Keywords

Hadron Spectrum Collaboration

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

115

Publisher

American Physical Society (APS)
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
Support is provided by the U.S. Department of Energy contract DEAC05-06OR23177 under which Jefferson Science Associates manages Jefferson Lab, the Early Career award contract DE- SC0006765, and the JSA Graduate Fellowship program. Support is also provided by the U.K. Science and Technology Facilities Council [grant number ST/L000385/1].