Document Type

Article

Publication Date

2015

DOI

10.1103/PhysRevLett.115.242001

Publication Title

Physical Review Letters

Volume

115

Issue

24

Pages

242001 (1-5)

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 πœ‹πœ‹β†’πœ‹πœΈβ‹†, as a function of the energy of the πœ‹πœ‹ pair and the virtuality of the photon, in the kinematic regime where πœ‹πœ‹ couples strongly to the unstable ρ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to mΟ€ β‰ˆ 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 Οβ†’πœ‹πœΈβ‹† form factor.

Comments

Β© 2015 American Physical Society

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Original Publication Citation

BriceΓ±o, R.A., Dudek, J.J., Edwards, R.G., Shultz, C.J., Thomas, C.E., Wilson, D.J. (2015) Resonant πœ‹βΊπœΈ β†’ πœ‹βΊπœ‹β° amplitude from quantum chromodynamics. Physical Review Letters, 115(24), 1-5, Article 242001. https://doi.org/10.1103/PhysRevLett.115.242001

ORCID

0000-0003-1109-1473 (BriceΓ±o), 0000-0003-4327-2121 (Dudek), 0000-0003-2364-1161 (Wilson)

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