Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics

Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G.; Shultz, Christian J.; Thomas, Christopher E.; Wilson, David J.

doi:10.1103/PhysRevLett.115.242001

Title: Resonant $π^{+} γ \to π^{+} π^{0}$ amplitude from Quantum Chromodynamics

Journal Article · Tue Dec 08 00:00:00 EST 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.115.242001· OSTI ID:1227935

Briceño, Raúl A. ^[1]; Dudek, Jozef J. ^[2]; Edwards, Robert G. ^[1]; Shultz, Christian J. ^[3]; Thomas, Christopher E. ^[4]; Wilson, David J. ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Old Dominion Univ., Norfolk, VA (United States)
Univ. of Cambridge, Cambridge (United Kingdom)

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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: for the Hadron Spectrum Collaboration

Grant/Contract Number:: AC05-06OR23177; ST/L000385/1

OSTI ID:: 1227935

Alternate ID(s):: OSTI ID: 1228417

Report Number(s):: JLAB-THY-15-2106; DOE/OR/23177-3473; arXiv:1507.06622; PRLTAO; TRN: US1600796

Journal Information:: Physical Review Letters, Vol. 115, Issue 24; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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References (49)

Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction Aznauryan, I. G.; Bashir, A.; Braun, V. M. International Journal of Modern Physics E, Vol. 22, Issue 06 https://doi.org/10.1142/S0218301313300154	journal	June 2013
Dispersive approach to hadronic light-by-light scattering Colangelo, G.; Hoferichter, M.; Procura, M. Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)091	journal	September 2014
Towards a data-driven analysis of hadronic light-by-light scattering Colangelo, Gilberto; Hoferichter, Martin; Kubis, Bastian Physics Letters B, Vol. 738 https://doi.org/10.1016/j.physletb.2014.09.021	journal	November 2014
Consequences of anomalous ward identities Wess, J.; Zumino, B. Physics Letters B, Vol. 37, Issue 1 https://doi.org/10.1016/0370-2693(71)90582-X	journal	November 1971
Global aspects of current algebra Witten, Edward Nuclear Physics B, Vol. 223, Issue 2 https://doi.org/10.1016/0550-3213(83)90063-9	journal	August 1983
Measurement of the resonance parameters and radiative width of the $ρ^{+}$ Huston, J.; Berg, D.; Chandlee, C. Physical Review D, Vol. 33, Issue 11 https://doi.org/10.1103/PhysRevD.33.3199	journal	June 1986
The ϱ radiative decay width: A measurement at 200 GeV Capraro, L.; Lévy, Ph.; Querrou, M. Nuclear Physics B, Vol. 288 https://doi.org/10.1016/0550-3213(87)90233-1	journal	January 1987
Excited meson radiative transitions from lattice QCD using variationally optimized operators Shultz, Christian J.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114501	journal	June 2015
Light meson form factors at near physical masses Owen, Benjamin J.; Kamleh, Waseem; Leinweber, Derek B. Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074503	journal	April 2015
Transition of $ρ \to π γ$ in lattice QCD Owen, Benjamin J.; Kamleh, Waseem; Leinweber, Derek B. Physical Review D, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevD.92.034513	journal	August 2015
Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states Lüscher, M. Communications in Mathematical Physics, Vol. 105, Issue 2 https://doi.org/10.1007/BF01211097	journal	June 1986
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Resonance scattering phase shifts on a non-rest-frame lattice Rummukainen, K.; Gottlieb, Steven Nuclear Physics B, Vol. 450, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00313-H	journal	September 1995
Finite-volume effects for two-hadron states in moving frames Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R. Nuclear Physics B, Vol. 727, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.08.029	journal	October 2005
Finite volume corrections to the two-particle decay of states with nonzero momentum Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi Physical Review D, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevD.72.114506	journal	December 2005
Moving multichannel systems in a finite volume with application to proton-proton fusion Briceño, Raúl A.; Davoudi, Zohreh Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094507	journal	November 2013
Multiple-channel generalization of Lellouch-Lüscher formula Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.016007	journal	July 2012
Two-particle multichannel systems in a finite volume with arbitrary spin Briceño, Raúl A. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074507	journal	April 2014
Three particles in a finite volume Polejaeva, K.; Rusetsky, A. The European Physical Journal A, Vol. 48, Issue 5 https://doi.org/10.1140/epja/i2012-12067-8	journal	May 2012
Three-particle scattering amplitudes from a finite volume formalism Briceño, Raúl A.; Davoudi, Zohreh Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094507	journal	May 2013
Relativistic, model-independent, three-particle quantization condition Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.116003	journal	December 2014
Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182001	journal	October 2014
Resonances in coupled $π K, η K$ scattering from lattice QCD Wilson, David J.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054008	journal	March 2015
Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094502	journal	November 2015
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions Lellouch, Laurent; Lüscher, Martin Communications in Mathematical Physics, Vol. 219, Issue 1 https://doi.org/10.1007/s002200100410	journal	May 2001
Lattice determination of the $K \to (π π)_{I = 2}$ decay amplitude $A_{2}$ Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review D, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevD.86.074513	journal	October 2012
Emerging Understanding of the $Δ I = 1 / 2$ Rule from Lattice QCD Boyle, P. A.; Christ, N. H.; Garron, N. Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.152001	journal	April 2013
$K$ to $π π$ decay amplitudes from lattice QCD Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review D, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevD.84.114503	journal	December 2011
$K \to (π π)_{I = 2}$ Decay Amplitude from Lattice QCD Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review Letters, Vol. 108, Issue 14 https://doi.org/10.1103/PhysRevLett.108.141601	journal	April 2012
K→ππ decays in a finite volume Lin, C. -J. D.; Martinelli, G.; Sachrajda, C. T. Nuclear Physics B, Vol. 619, Issue 1-3 https://doi.org/10.1016/S0550-3213(01)00495-3	journal	December 2001
A framework for the calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math> transition form factors on the lattice Agadjanov, Andria; Bernard, Véronique; Meißner, Ulf-G. Nuclear Physics B, Vol. 886 https://doi.org/10.1016/j.nuclphysb.2014.07.023	journal	September 2014
Lattice QCD and the Timelike Pion Form Factor Meyer, Harvey B. Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072002	journal	August 2011
Timelike pion form factor in lattice QCD Feng, Xu; Aoki, Sinya; Hashimoto, Shoji Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054504	journal	March 2015
Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume Briceño, Raúl A.; Hansen, Maxwell T. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074509	journal	October 2015
Multichannel $1 \to 2$ transition amplitudes in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Walker-Loud, André Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevD.91.034501	journal	February 2015
Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass Lin, Huey-Wen; Cohen, Saul D.; Dudek, Jozef Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034502	journal	February 2009
$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.034031	journal	August 2012
Helicity operators for mesons in flight on the lattice Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014507	journal	January 2012
Cross-sections for low-energy πgamma; reactions Kaiser, N.; Friedrich, J. M. The European Physical Journal A, Vol. 36, Issue 2 https://doi.org/10.1140/epja/i2008-10582-9	journal	May 2008
Extracting the chiral anomaly from $γ π \to π π$ Hoferichter, Martin; Kubis, Bastian; Sakkas, Dimitrios Physical Review D, Vol. 86, Issue 11 https://doi.org/10.1103/PhysRevD.86.116009	journal	December 2012
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
$π π$ Partial-Wave Analysis from Reactions $π^{+} p \to π^{+} π^{-} Δ^{+ +}$ and $π^{+} p \to K^{+} K^{-} Δ^{+ +}$ at 7.1 GeV/ c Protopopescu, S. D.; Alston-Garnjost, M.; Barbaro-Galtieri, A. Physical Review D, Vol. 7, Issue 5 https://doi.org/10.1103/PhysRevD.7.1279	journal	March 1973
Ab initio Calculation of the $n p \to d γ$ Radiative Capture Process Beane, Silas R.; Chang, Emmanuel; Detmold, William Physical Review Letters, Vol. 115, Issue 13 https://doi.org/10.1103/PhysRevLett.115.132001	journal	September 2015
Lattice QCD calculation of form factors describing the rare decays $B \to K^{*} ℓ^{+} ℓ^{-}$ and $B_{s} \to ϕ ℓ^{+} ℓ^{-}$ Horgan, Ronald R.; Liu, Zhaofeng; Meinel, Stefan Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094501	journal	May 2014
Calculation of $B^{0} \to K^{* 0} μ^{+} μ^{-}$ and $B_{s}^{0} \to ϕ μ^{+} μ^{-}$ Observables Using Form Factors from Lattice QCD Horgan, Ronald R.; Liu, Zhaofeng; Meinel, Stefan Physical Review Letters, Vol. 112, Issue 21 https://doi.org/10.1103/PhysRevLett.112.212003	journal	May 2014
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005
Solving lattice QCD systems of equations using mixed precision solvers on GPUs Clark, M. A.; Babich, R.; Barros, K. Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.002	journal	September 2010
Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics Babich, Ronald; Clark, Michael A.; Joó, Balint 2010 SC - International Conference for High Performance Computing, Networking, Storage and Analysis, 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis https://doi.org/10.1109/SC.2010.40	conference	November 2010

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Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W. arXiv https://doi.org/10.48550/arxiv.1909.10357	text	January 2019

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