P -wave π π scattering and the ρ resonance from lattice QCD

Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey

doi:10.1103/PhysRevD.96.034525

Title: $P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD

Authors:: Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey

Publication Date:: 2017-08-31

Sponsoring Org.:: USDOE

OSTI Identifier:: 1377979

Grant/Contract Number:: SC-0011090; FC02-06ER41444; AC02-05CH11231

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 96 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Alexandrou, Constantia, Leskovec, Luka, Meinel, Stefan, Negele, John, Paul, Srijit, Petschlies, Marcus, Pochinsky, Andrew, Rendon, Gumaro, and Syritsyn, Sergey. P -wave π π scattering and the ρ resonance from lattice QCD.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.034525.

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                    Alexandrou, Constantia, Leskovec, Luka, Meinel, Stefan, Negele, John, Paul, Srijit, Petschlies, Marcus, Pochinsky, Andrew, Rendon, Gumaro, & Syritsyn, Sergey. P -wave π π scattering and the ρ resonance from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.96.034525

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                    Alexandrou, Constantia, Leskovec, Luka, Meinel, Stefan, Negele, John, Paul, Srijit, Petschlies, Marcus, Pochinsky, Andrew, Rendon, Gumaro, and Syritsyn, Sergey. Thu .  
"P -wave π π scattering and the ρ resonance from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.96.034525.

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@article{osti_1377979,

  title        = {P -wave π π scattering and the ρ resonance from lattice QCD},

  author       = {Alexandrou, Constantia and Leskovec, Luka and Meinel, Stefan and Negele, John and Paul, Srijit and Petschlies, Marcus and Pochinsky, Andrew and Rendon, Gumaro and Syritsyn, Sergey},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.96.034525},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {8}

}

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Works referenced in this record:

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Title: P -wave π π scattering and the ρ resonance from lattice QCD

Citation Formats

Continuum limit and improved action in lattice theories journal, September 1983

Light hadron spectroscopy in two-flavor QCD with small sea quark masses journal, October 2004

Resonance parameters of the rho-meson from asymmetrical lattices journal, January 2013

Review of Particle Physics journal, October 2016

Coupled-channel scattering on a torus journal, July 2013

Hadronic coupling constants in lattice gauge theory journal, January 1986

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

Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles journal, April 2017

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

Decay width of light quark hybrid meson from the lattice journal, April 2006

Meson masses and decay constants from unquenched lattice QCD journal, September 2009

Bottomonium spectrum at order v 6 from domain-wall lattice QCD: Precise results for hyperfine splittings journal, December 2010

Improved nonrelativistic QCD for heavy-quark physics journal, November 1992

ρ and K * resonances on the lattice at nearly physical quark masses and N f = 2 journal, March 2016

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

Hybrid meson decay from the lattice journal, April 2002

2 + 1 flavor lattice QCD toward the physical point journal, February 2009

Pion-pion scattering amplitude journal, April 2005

Hadron–hadron interactions from imaginary-time Nambu–Bethe–Salpeter wave function on the lattice journal, June 2012

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

Improved continuum limit lattice action for QCD with wilson fermions journal, September 1985

Lattice QCD calculation of the ρ meson decay width journal, November 2007

Resonance parameters of the ρ meson from lattice QCD journal, May 2011

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD journal, June 2012

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

Axial nucleon form factors from lattice QCD journal, February 2011

Lattice operators for scattering of particles with spin journal, January 2017

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

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal, July 1990

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

Determination of Δ -resonance parameters from lattice QCD journal, August 2013

Continuum limit and improved action in lattice theories journal, September 1983

Analytic smearing of SU ( 3 ) link variables in lattice QCD journal, March 2004

Angular momentum on the lattice: The case of nonzero linear momentum journal, January 2006

Low energy scattering phase shifts for meson-baryon systems journal, June 2016

Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] journal, November 2014

Scattering in the π N negative parity channel in lattice QCD journal, March 2013

Hadronic decay of a vector meson from the lattice journal, March 2003

Scattering phases for meson and baryon resonances on general moving-frame lattices journal, November 2012

Study of decuplet baryon resonances from lattice QCD journal, June 2016

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal, September 2016

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea journal, March 2012

Coupled channel analysis of the ρ meson decay in lattice QCD journal, September 2011

Finite-volume matrix Hamiltonian model for a Δ → N π system journal, May 2013

Isoscalar π π Scattering and the σ Meson Resonance from QCD journal, January 2017

Confinement of quarks journal, October 1974

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

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

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

On the generalized eigenvalue method for energies and matrix elements in lattice field theory journal, April 2009

Computation of the action for on-shell improved lattice gauge theories at weak coupling journal, August 1985

Rho resonance parameters from lattice QCD journal, August 2016

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

An a 0 resonance in strongly coupled π η , K K ¯ scattering from lattice QCD journal, May 2016

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

Partial wave analysis inK-matrix formalism journal, January 1995

Direct determinations of the nucleon and pion σ terms at nearly physical quark masses journal, May 2016

πN scattering in the region in an effective field theory journal, September 2010

Improved methods for the study of hadronic physics from lattice QCD journal, February 2015

Adjoint sources in lattice gauge theory journal, September 1985

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ππ partial waves from 0.6 to 1.8 GeV journal, September 1975

π π interaction in the ρ channel in finite volume journal, January 2013

Resonant π + γ → π + π 0 Amplitude from Quantum Chromodynamics journal, December 2015

Erratum: Angular momentum on the lattice: The case of nonzero linear momentum [Phys. Rev. D 73 , 014504 (2006)] journal, October 2006

π π → π γ * amplitude and the resonant ρ → π γ * transition from lattice QCD journal, June 2016

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

Precise determination of the lattice spacing in full lattice QCD journal, February 2010

Two-Flavor Simulations of ρ ( 770 ) and the Role of the K K ¯ Channel journal, September 2016

Studying the ρ resonance parameters with staggered fermions journal, August 2016

Non-singlet axial vector couplings of the baryon octet in lattice QCD journal, August 1989

Centrifugal-Barrier Effects in Resonance Partial Decay Widths, Shapes, and Production Amplitudes journal, February 1972

Glueball masses and string tension in lattice QCD journal, June 1987

Title: $P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD

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Light hadron spectroscopy in two-flavor QCD with small sea quark masses
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Review of Particle Physics
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Hadronic coupling constants in lattice gauge theory
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Multiple-channel generalization of Lellouch-Lüscher formula
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Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
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$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD
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Decay width of light quark hybrid meson from the lattice
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Meson masses and decay constants from unquenched lattice QCD
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Bottomonium spectrum at order $v^{6}$ from domain-wall lattice QCD: Precise results for hyperfine splittings
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Improved nonrelativistic QCD for heavy-quark physics
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$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$
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Resonance scattering phase shifts on a non-rest-frame lattice
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Hybrid meson decay from the lattice
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$2 + 1$ flavor lattice QCD toward the physical point
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Pion-pion scattering amplitude
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Hadron–hadron interactions from imaginary-time Nambu–Bethe–Salpeter wave function on the lattice
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Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
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Improved continuum limit lattice action for QCD with wilson fermions
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Lattice QCD calculation of the $ρ$ meson decay width
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Resonance parameters of the $ρ$ meson from lattice QCD
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Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD
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First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
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Axial nucleon form factors from lattice QCD
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Lattice operators for scattering of particles with spin
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Two-particle multichannel systems in a finite volume with arbitrary spin
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How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
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Multichannel $1 \to 2$ transition amplitudes in a finite volume
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Determination of $Δ$ -resonance parameters from lattice QCD
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Continuum limit and improved action in lattice theories
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Analytic smearing of $SU (3)$ link variables in lattice QCD
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Angular momentum on the lattice: The case of nonzero linear momentum
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Low energy scattering phase shifts for meson-baryon systems
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Erratum: Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)]
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Scattering in the $π N$ negative parity channel in lattice QCD
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Hadronic decay of a vector meson from the lattice
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Scattering phases for meson and baryon resonances on general moving-frame lattices
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Study of decuplet baryon resonances from lattice QCD
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I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD
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The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
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Coupled channel analysis of the $ρ$ meson decay in lattice QCD
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Finite-volume matrix Hamiltonian model for a $Δ \to N π$ system
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Isoscalar $π π$ Scattering and the $σ$ Meson Resonance from QCD
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Confinement of quarks
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Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
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Finite volume corrections to the two-particle decay of states with nonzero momentum
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Resonances in coupled $π K, η K$ scattering from lattice QCD
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On the generalized eigenvalue method for energies and matrix elements in lattice field theory
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Computation of the action for on-shell improved lattice gauge theories at weak coupling
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Rho resonance parameters from lattice QCD
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Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
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An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD
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Two-particle states on a torus and their relation to the scattering matrix
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Partial wave analysis inK-matrix formalism
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Direct determinations of the nucleon and pion $σ$ terms at nearly physical quark masses
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πN scattering in the region in an effective field theory
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Improved methods for the study of hadronic physics from lattice QCD
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Adjoint sources in lattice gauge theory
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$ρ$ meson decay in $2 + 1$ flavor lattice QCD
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ππ partial waves from 0.6 to 1.8 GeV
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$π π$ interaction in the $ρ$ channel in finite volume
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Resonant $π^{+} γ \to π^{+} π^{0}$ Amplitude from Quantum Chromodynamics
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Erratum: Angular momentum on the lattice: The case of nonzero linear momentum [Phys. Rev. D 73 , 014504 (2006)]
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$π π \to π γ^{}$ amplitude and the resonant $ρ \to π γ^{}$ transition from lattice QCD
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Finite-volume effects for two-hadron states in moving frames
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Precise determination of the lattice spacing in full lattice QCD
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Two-Flavor Simulations of $ρ (770)$ and the Role of the $K \bar{K}$ Channel
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Studying the $ρ$ resonance parameters with staggered fermions
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Non-singlet axial vector couplings of the baryon octet in lattice QCD
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Centrifugal-Barrier Effects in Resonance Partial Decay Widths, Shapes, and Production Amplitudes
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Glueball masses and string tension in lattice QCD
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