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Title: Resonant π + γ π + π 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 $$\pi\pi \to \pi\gamma^\star$$, 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 unstable $$\rho$$ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to $$m_\pi \approx 400$$ MeV. As a result, 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.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4] ;  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  3. Old Dominion Univ., Norfolk, VA (United States)
  4. Univ. of Cambridge, Cambridge (United Kingdom)
Publication Date:
Report Number(s):
JLAB-THY-15-2106; DOE/OR/23177-3473; arXiv:1507.06622
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1600796
Grant/Contract Number:
AC05-06OR23177; ST/L000385/1
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Orgs:
for the Hadron Spectrum Collaboration
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1227935
Alternate Identifier(s):
OSTI ID: 1228417

Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., Shultz, Christian J., Thomas, Christopher E., and Wilson, David J.. Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics. United States: N. p., Web. doi:10.1103/PhysRevLett.115.242001.
Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., Shultz, Christian J., Thomas, Christopher E., & Wilson, David J.. Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics. United States. doi:10.1103/PhysRevLett.115.242001.
Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., Shultz, Christian J., Thomas, Christopher E., and Wilson, David J.. 2015. "Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics". United States. doi:10.1103/PhysRevLett.115.242001. https://www.osti.gov/servlets/purl/1227935.
@article{osti_1227935,
title = {Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics},
author = {Briceño, Raúl A. and Dudek, Jozef J. and Edwards, Robert G. and Shultz, Christian J. and Thomas, Christopher E. and Wilson, David J.},
abstractNote = {We present the first ab initio calculation of a radiative transition of a hadronic resonance within Quantum Chromodynamics (QCD). We compute the amplitude for $\pi\pi \to \pi\gamma^\star$, 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 unstable $\rho$ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to $m_\pi \approx 400$ MeV. As a result, 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.},
doi = {10.1103/PhysRevLett.115.242001},
journal = {Physical Review Letters},
number = 24,
volume = 115,
place = {United States},
year = {2015},
month = {12}
}