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

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 $$\pi\pi \to \pi\gamma^\star$$, 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:

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)

Publication Date:: Tue Dec 08 00:00:00 EST 2015

Research Org.:: 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 Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Org.:: for the Hadron Spectrum Collaboration

OSTI Identifier:: 1227935

Alternate Identifier(s):: OSTI ID: 1228417

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

Resource 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)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    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., 2015. 
Web.  doi:10.1103/PhysRevLett.115.242001.

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                    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.  https://doi.org/10.1103/PhysRevLett.115.242001

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                    Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., Shultz, Christian J., Thomas, Christopher E., and Wilson, David J. Tue .  
"Resonant π+γ→π+π0 amplitude from Quantum Chromodynamics".  United States.  https://doi.org/10.1103/PhysRevLett.115.242001.  https://www.osti.gov/servlets/purl/1227935.

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@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         = {Tue Dec 08 00:00:00 EST 2015},

  month        = {Tue Dec 08 00:00:00 EST 2015}

}

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Works referenced in this record:

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Works referencing / citing this record:

Hadrons and nuclei
journal, November 2019

Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
The European Physical Journal A, Vol. 55, Issue 11
DOI: 10.1140/epja/i2019-12902-4

Isoscalar ππ Scattering and the σ Meson Resonance from QCD
text, January 2017

Briceño, Ra; Dudek, Jj; Edwards, Rg
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.8222

Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
text, January 2019

Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W.
arXiv
DOI: 10.48550/arxiv.1909.10357

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

Abstract

Citation Formats

Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction journal, June 2013

Dispersive approach to hadronic light-by-light scattering journal, September 2014

Towards a data-driven analysis of hadronic light-by-light scattering journal, November 2014

Consequences of anomalous ward identities journal, November 1971

Global aspects of current algebra journal, August 1983

Measurement of the resonance parameters and radiative width of the ρ + journal, June 1986

The ϱ radiative decay width: A measurement at 200 GeV journal, January 1987

Excited meson radiative transitions from lattice QCD using variationally optimized operators journal, June 2015

Light meson form factors at near physical masses journal, April 2015

Transition of ρ → π γ in lattice QCD journal, August 2015

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal, June 1986

Two-particle states on a torus and their relation to the scattering matrix journal, May 1991

Resonance scattering phase shifts on a non-rest-frame lattice journal, September 1995

Finite-volume effects for two-hadron states in moving frames journal, October 2005

Finite volume corrections to the two-particle decay of states with nonzero momentum journal, December 2005

Moving multichannel systems in a finite volume with application to proton-proton fusion journal, November 2013

Multiple-channel generalization of Lellouch-Lüscher formula journal, July 2012

Two-particle multichannel systems in a finite volume with arbitrary spin journal, April 2014

Three particles in a finite volume journal, May 2012

Three-particle scattering amplitudes from a finite volume formalism journal, May 2013

Relativistic, model-independent, three-particle quantization condition journal, December 2014

Resonances in Coupled π K − η K Scattering from Quantum Chromodynamics journal, October 2014

Resonances in coupled π K , η K scattering from lattice QCD journal, March 2015

Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD journal, November 2015

Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions journal, May 2001

Lattice determination of the K → ( π π ) I = 2 decay amplitude A 2 journal, October 2012

Emerging Understanding of the Δ I = 1 / 2 Rule from Lattice QCD journal, April 2013

K to π π decay amplitudes from lattice QCD journal, December 2011

K → ( π π ) I = 2 Decay Amplitude from Lattice QCD journal, April 2012

K→ππ decays in a finite volume journal, December 2001

Lattice QCD and the Timelike Pion Form Factor journal, August 2011

Timelike pion form factor in lattice QCD journal, March 2015

Multichannel 0 → 2 and 1 → 2 transition amplitudes for arbitrary spin particles in a finite volume journal, October 2015

Multichannel 1 → 2 transition amplitudes in a finite volume journal, February 2015

Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal, February 2013

First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass journal, February 2009

S - and D -wave phase shifts in isospin-2 π π scattering from lattice QCD journal, August 2012

Helicity operators for mesons in flight on the lattice journal, January 2012

Cross-sections for low-energy πgamma; reactions journal, May 2008

Extracting the chiral anomaly from γ π → π π journal, December 2012

Review of Particle Physics journal, August 2014

π π Partial-Wave Analysis from Reactions π + p → π + π − Δ + + and π + p → K + K − Δ + + at 7.1 GeV/ c journal, March 1973

Ab initio Calculation of the n p → d γ Radiative Capture Process journal, September 2015

Lattice QCD calculation of form factors describing the rare decays B → K * ℓ + ℓ − and B s → ϕ ℓ + ℓ − journal, May 2014

Calculation of B 0 → K * 0 μ + μ − and B s 0 → ϕ μ + μ − Observables Using Form Factors from Lattice QCD journal, May 2014

The Chroma Software System for Lattice QCD journal, March 2005

Solving lattice QCD systems of equations using mixed precision solvers on GPUs journal, September 2010

Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics conference, November 2010

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

Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
journal, June 2013

Dispersive approach to hadronic light-by-light scattering
journal, September 2014

Towards a data-driven analysis of hadronic light-by-light scattering
journal, November 2014

Consequences of anomalous ward identities
journal, November 1971

Global aspects of current algebra
journal, August 1983

Measurement of the resonance parameters and radiative width of the $ρ^{+}$
journal, June 1986

The ϱ radiative decay width: A measurement at 200 GeV
journal, January 1987

Excited meson radiative transitions from lattice QCD using variationally optimized operators
journal, June 2015

Light meson form factors at near physical masses
journal, April 2015

Transition of $ρ \to π γ$ in lattice QCD
journal, August 2015

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986

Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991

Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995

Finite-volume effects for two-hadron states in moving frames
journal, October 2005

Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005

Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013

Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012

Two-particle multichannel systems in a finite volume with arbitrary spin
journal, April 2014

Three particles in a finite volume
journal, May 2012

Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013

Relativistic, model-independent, three-particle quantization condition
journal, December 2014

Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
journal, October 2014

Resonances in coupled $π K, η K$ scattering from lattice QCD
journal, March 2015

Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
journal, November 2015

Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001

Lattice determination of the $K \to (π π)_{I = 2}$ decay amplitude $A_{2}$
journal, October 2012

Emerging Understanding of the $Δ I = 1 / 2$ Rule from Lattice QCD
journal, April 2013

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journal, December 2011

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journal, April 2012

K→ππ decays in a finite volume
journal, December 2001

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journal, August 2011

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journal, March 2015

Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume
journal, October 2015

Multichannel $1 \to 2$ transition amplitudes in a finite volume
journal, February 2015

Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
journal, February 2013

First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009

$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD
journal, August 2012

Helicity operators for mesons in flight on the lattice
journal, January 2012

Cross-sections for low-energy πgamma; reactions
journal, May 2008

Extracting the chiral anomaly from $γ π \to π π$
journal, December 2012

Review of Particle Physics
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
journal, March 1973

Ab initio Calculation of the $n p \to d γ$ Radiative Capture Process
journal, September 2015

Lattice QCD calculation of form factors describing the rare decays $B \to K^{*} ℓ^{+} ℓ^{-}$ and $B_{s} \to ϕ ℓ^{+} ℓ^{-}$
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
journal, May 2014

The Chroma Software System for Lattice QCD
journal, March 2005

Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010

Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics
conference, November 2010

Hadrons and nuclei
journal, November 2019

Isoscalar ππ Scattering and the σ Meson Resonance from QCD
text, January 2017

Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
text, January 2019