Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition

Woss, Antoni J.; Wilson, David J.; Dudek, Jozef J.

doi:10.1103/PhysRevD.101.114505

Title: Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition

Abstract

We present a method for efficiently finding solutions of Lüscher’s quantization condition, the equation which relates two-particle scattering amplitudes to the discrete spectrum of states in a periodic spatial volume of finite extent such as that present in lattice QCD. The approach proposed is based on an eigenvalue decomposition in the space of coupled-channels and partial-waves, which proves to have several desirable and simplifying features that are of great benefit when considering problems beyond simple elastic scattering of spinless particles. We illustrate the method with a toy model of vector-vector scattering featuring a high density of solutions, and with an application to explicit lattice QCD energy level data describing $J^P=1^-$ and $1^+$ scattering in several coupled channels.

Authors:

;

Publication Date:: 2020-06-01

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC) (United Kingdom)

Contributing Org.:: for the Hadron Spectrum Collaboration

OSTI Identifier:: 1633699

Alternate Identifier(s):: OSTI ID: 1633980

Report Number(s):: JLAB-THY-20-3133; DOE/OR/23177-4898; arXiv:2001.08474
Journal ID: ISSN 2470-0010; PRVDAQ; 114505

Grant/Contract Number:: ST/P000681/1; ST/P002307/1; ST/R002452/1; ST/R00689X/1; SC0018416; AC05-06OR23177; AC05-00OR22725; AC02-05CH11231

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Quantum chromodynamics; Particles & Fields

Citation Formats


                    Woss, Antoni J., Wilson, David J., and Dudek, Jozef J. Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition.  United States: N. p., 2020. 
        Web.  doi:10.1103/PhysRevD.101.114505.

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                    Woss, Antoni J., Wilson, David J., & Dudek, Jozef J. Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition.  United States.  doi:https://doi.org/10.1103/PhysRevD.101.114505

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                    Woss, Antoni J., Wilson, David J., and Dudek, Jozef J. Mon .  
        "Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition".  United States.  doi:https://doi.org/10.1103/PhysRevD.101.114505.

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@article{osti_1633699,

  title        = {Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition},

  author       = {Woss, Antoni J. and Wilson, David J. and Dudek, Jozef J.},

  abstractNote = {We present a method for efficiently finding solutions of Lüscher’s quantization condition, the equation which relates two-particle scattering amplitudes to the discrete spectrum of states in a periodic spatial volume of finite extent such as that present in lattice QCD. The approach proposed is based on an eigenvalue decomposition in the space of coupled-channels and partial-waves, which proves to have several desirable and simplifying features that are of great benefit when considering problems beyond simple elastic scattering of spinless particles. We illustrate the method with a toy model of vector-vector scattering featuring a high density of solutions, and with an application to explicit lattice QCD energy level data describing $J^P=1^-$ and $1^+$ scattering in several coupled channels.},

  doi          = {10.1103/PhysRevD.101.114505},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {6}

}

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Works referenced in this record:

Scalar mesons in a finite volume
journal, January 2011

Bernard, V.; Lage, M.; Meißner, U. -G.
Journal of High Energy Physics, Vol. 2011, Issue 1
DOI: 10.1007/JHEP01(2011)019

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
journal, September 2017

Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki
Journal of High Energy Physics, Vol. 2017, Issue 9, 23 p.
DOI: 10.1007/JHEP09(2017)109

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

Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J.
Physical Review D, Vol. 85, Issue 1
DOI: 10.1103/PhysRevD.85.014507

Rummukainen-Gottlieb formula on a two-particle system with different masses
journal, January 2012

Fu, Ziwen
Physical Review D, Vol. 85, Issue 1
DOI: 10.1103/PhysRevD.85.014506

Coupled-channel scattering on a torus
journal, July 2013

Guo, Peng; Dudek, Jozef J.; Edwards, Robert G.
Physical Review D, Vol. 88, Issue 1
DOI: 10.1103/PhysRevD.88.014501

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

Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 86, Issue 1
DOI: 10.1103/PhysRevD.86.016007

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

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 95, Issue 7
DOI: 10.1103/PhysRevD.95.074510

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

Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.
Physical Review D, Vol. 86, Issue 3
DOI: 10.1103/PhysRevD.86.034031

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

Clark, M. A.; Babich, R.; Barros, K.
Computer Physics Communications, Vol. 181, Issue 9
DOI: 10.1016/j.cpc.2010.05.002

Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013

Dudek, Jozef J.; Edwards, Robert G.; Guo, Peng
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.094505

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

Briceño, Raúl A.; Davoudi, Zohreh
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.094507

Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies
journal, November 2017

Morningstar, Colin; Bulava, John; Singha, Bijit
Nuclear Physics B, Vol. 924
DOI: 10.1016/j.nuclphysb.2017.09.014

Lattice calculation of I = 2 pion scattering length
journal, September 1992

Sharpe, Stephen R.; Gupta, Rajan; Kilcup, Gregory W.
Nuclear Physics B, Vol. 383, Issue 1-2
DOI: 10.1016/0550-3213(92)90681-Z

Theory of the Low-Energy Pion-Pion Interaction
journal, July 1960

Chew, Geoffrey F.; Mandelstam, Stanley
Physical Review, Vol. 119, Issue 1
DOI: 10.1103/PhysRev.119.467

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
journal, October 2017

Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki
Journal of High Energy Physics, Vol. 2017, Issue 10, 31 p.
DOI: 10.1007/JHEP10(2017)115

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
journal, October 2019

Romero-López, Fernando; Sharpe, Stephen R.; Blanton, Tyler D.
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/JHEP10(2019)007

$P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD
journal, August 2017

Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan
Physical Review D, Vol. 96, Issue 3
DOI: 10.1103/PhysRevD.96.034525

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

Rummukainen, K.; Gottlieb, Steven
Nuclear Physics B, Vol. 450, Issue 1-2
DOI: 10.1016/0550-3213(95)00313-H

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
journal, February 2019

Andersen, Christian; Bulava, John; Hörz, Ben
Nuclear Physics B, Vol. 939
DOI: 10.1016/j.nuclphysb.2018.12.018

Minuit - a system for function minimization and analysis of the parameter errors and correlations
journal, December 1975

James, F.; Roos, M.
Computer Physics Communications, Vol. 10, Issue 6
DOI: 10.1016/0010-4655(75)90039-9

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

Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 90, Issue 11
DOI: 10.1103/PhysRevD.90.116003

Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009

Peardon, Michael; Bulava, John; Foley, Justin
Physical Review D, Vol. 80, Issue 5
DOI: 10.1103/PhysRevD.80.054506

Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length
journal, September 2015

Helmes, C.; Jost, C.; Knippschild, B.
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)109

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

Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J.
Physical Review D, Vol. 92, Issue 9
DOI: 10.1103/PhysRevD.92.094502

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

Leskovec, Luka; Prelovsek, Sasa
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/PhysRevD.85.114507

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

Lin, Huey-Wen; Cohen, Saul D.; Dudek, Jozef
Physical Review D, Vol. 79, Issue 3
DOI: 10.1103/PhysRevD.79.034502

$b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD
journal, September 2019

Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J.
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/PhysRevD.100.054506

Toward the excited meson spectrum of dynamical QCD
journal, August 2010

Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.
Physical Review D, Vol. 82, Issue 3
DOI: 10.1103/PhysRevD.82.034508

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice
journal, April 2014

Lang, C. B.; Leskovec, Luka; Mohler, Daniel
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)162

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

Briceño, Raúl A.
Physical Review D, Vol. 89, Issue 7
DOI: 10.1103/PhysRevD.89.074507

Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
journal, September 2019

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/PhysRevD.100.054508

Isospin-0 $π π$ s-wave scattering length from twisted mass lattice QCD
journal, September 2017

Liu, L.; Bacchio, S.; Dimopoulos, P.
Physical Review D, Vol. 96, Issue 5
DOI: 10.1103/PhysRevD.96.054516

Pion-nucleon scattering in the Roper channel from lattice QCD
journal, January 2017

Lang, C. B.; Leskovec, L.; Padmanath, M.
Physical Review D, Vol. 95, Issue 1
DOI: 10.1103/PhysRevD.95.014510

Excited and exotic charmonium, D s and D meson spectra for two light quark masses from lattice QCD
journal, December 2016

Cheung, Gavin K. C.; O’Hara, Cian; Moir, Graham
Journal of High Energy Physics, Vol. 2016, Issue 12
DOI: 10.1007/JHEP12(2016)089

Standard Model Prediction for Direct $C P$ Violation in $K \to π π$ Decay
journal, November 2015

Bai, Z.; Blum, T.; Boyle, P. A.
Physical Review Letters, Vol. 115, Issue 21
DOI: 10.1103/PhysRevLett.115.212001

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
journal, July 2018

Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J.
Journal of High Energy Physics, Vol. 2018, Issue 7
DOI: 10.1007/JHEP07(2018)043

Three-particle systems with resonant subprocesses in a finite volume
journal, January 2019

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.014516

Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice
journal, July 2004

Bedaque, Paulo F.
Physics Letters B, Vol. 593, Issue 1-4
DOI: 10.1016/j.physletb.2004.04.045

Precise determination of the $I = 2$ $π π$ scattering length from mixed-action lattice QCD
journal, January 2008

Beane, Silas R.; Luu, Thomas C.; Orginos, Kostas
Physical Review D, Vol. 77, Issue 1
DOI: 10.1103/PhysRevD.77.014505

Meson-baryon scattering lengths from mixed-action lattice QCD
journal, April 2010

Torok, A.; Beane, S. R.; Detmold, W.
Physical Review D, Vol. 81, Issue 7
DOI: 10.1103/PhysRevD.81.074506

Two particle states and the S -matrix elements in multi-channel scattering
journal, July 2005

He, Song; Feng, Xu; Liu, Chuan
Journal of High Energy Physics, Vol. 2005, Issue 07
DOI: 10.1088/1126-6708/2005/07/011

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

Detmold, William; Nicholson, Amy N.
Physical Review D, Vol. 93, Issue 11
DOI: 10.1103/PhysRevD.93.114511

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

Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.
Physical Review D, Vol. 90, Issue 9
DOI: 10.1103/PhysRevD.90.099902

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

Lang, C. B.; Verduci, V.
Physical Review D, Vol. 87, Issue 5
DOI: 10.1103/PhysRevD.87.054502

Three-body unitarity in the finite volume
journal, December 2017

Mai, M.; Döring, M.
The European Physical Journal A, Vol. 53, Issue 12
DOI: 10.1140/epja/i2017-12440-1

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

Göckeler, M.; Horsley, R.; Lage, M.
Physical Review D, Vol. 86, Issue 9
DOI: 10.1103/PhysRevD.86.094513

Angular momentum on a lattice
journal, July 1982

Johnson, R. C.
Physics Letters B, Vol. 114, Issue 2-3
DOI: 10.1016/0370-2693(82)90134-4

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"><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> scattering length from maximally twisted mass lattice QCD
journal, February 2010

Feng, Xu; Jansen, Karl; Renner, Dru
Physics Letters B, Vol. 684, Issue 4-5
DOI: 10.1016/j.physletb.2010.01.018

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

Bulava, John; Fahy, Brendan; Hörz, Ben
Nuclear Physics B, Vol. 910
DOI: 10.1016/j.nuclphysb.2016.07.024

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

Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.
Physical Review Letters, Vol. 118, Issue 2
DOI: 10.1103/PhysRevLett.118.022002

Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states
journal, December 2019

Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W.
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/PhysRevD.100.114505

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

Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.
Physical Review Letters, Vol. 113, Issue 18
DOI: 10.1103/PhysRevLett.113.182001

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

Wilson, David J.; Dudek, Jozef J.; Edwards, Robert G.
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054008

Scalar mesons moving in a finite volume and the role of partial wave mixing
journal, August 2012

Döring, M.; Meißner, U. -G.; Oset, E.
The European Physical Journal A, Vol. 48, Issue 8
DOI: 10.1140/epja/i2012-12114-6

Lattice QCD and Three-Particle Decays of Resonances
journal, October 2019

Hansen, Maxwell T.; Sharpe, Stephen R.
Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1
DOI: 10.1146/annurev-nucl-101918-023723

Elastic $I = 3 / 2$ $p$ -wave nucleon-pion scattering amplitude and the $Δ (1232)$ resonance from $N_{f} = 2 + 1$ lattice QCD
journal, January 2018

Andersen, Christian Walther; Bulava, John; Hörz, Ben
Physical Review D, Vol. 97, Issue 1
DOI: 10.1103/PhysRevD.97.014506

Implementing the three-particle quantization condition including higher partial waves
journal, March 2019

Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R.
Journal of High Energy Physics, Vol. 2019, Issue 3
DOI: 10.1007/JHEP03(2019)106

Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD
journal, March 2018

Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.
Physical Review D, Vol. 97, Issue 5
DOI: 10.1103/PhysRevD.97.054513

$I = 2$ $π π$ $S$ -wave scattering phase shift from lattice QCD
journal, February 2012

Beane, S. R.; Chang, E.; Detmold, W.
Physical Review D, Vol. 85, Issue 3
DOI: 10.1103/PhysRevD.85.034505

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

Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.
Physical Review D, Vol. 87, Issue 3
DOI: 10.1103/PhysRevD.87.034505

An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD
journal, May 2016

Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.
Physical Review D, Vol. 93, Issue 9
DOI: 10.1103/PhysRevD.93.094506

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

Lüscher, Martin
Nuclear Physics B, Vol. 354, Issue 2-3
DOI: 10.1016/0550-3213(91)90366-6

Three-body spectrum in a finite volume: The role of cubic symmetry
journal, June 2018

Döring, M.; Hammer, H. -W.; Mai, M.
Physical Review D, Vol. 97, Issue 11
DOI: 10.1103/PhysRevD.97.114508

Phase shift of isospin-2 $π π$ scattering from lattice QCD
journal, April 2011

Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.
Physical Review D, Vol. 83, Issue 7
DOI: 10.1103/PhysRevD.83.071504

$I = 2$ two-pion wave function and scattering phase shift
journal, July 2008

Sasaki, Kiyoshi; Ishizuka, Naruhito
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.014511

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

Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R.
Nuclear Physics B, Vol. 727, Issue 1-2
DOI: 10.1016/j.nuclphysb.2005.08.029

$K \to π π$ $Δ I = 3 / 2$ decay amplitude in the continuum limit
journal, April 2015

Blum, T.; Boyle, P. A.; Christ, N. H.
Physical Review D, Vol. 91, Issue 7
DOI: 10.1103/PhysRevD.91.074502

The Chroma Software System for Lattice QCD
journal, March 2005

Edwards, Robert G.; Joó, Bálint
Nuclear Physics B - Proceedings Supplements, Vol. 140
DOI: 10.1016/j.nuclphysbps.2004.11.254

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Title: Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition

Abstract

Citation Formats

Scalar mesons in a finite volume journal, January 2011

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force journal, September 2017

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

Rummukainen-Gottlieb formula on a two-particle system with different masses journal, January 2012

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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

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Toward the excited isoscalar meson spectrum from lattice QCD journal, November 2013

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

Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies journal, November 2017

Lattice calculation of I = 2 pion scattering length journal, September 1992

Theory of the Low-Energy Pion-Pion Interaction journal, July 1960

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data journal, October 2017

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P -wave π π scattering and the ρ resonance from lattice QCD journal, August 2017

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Minuit - a system for function minimization and analysis of the parameter errors and correlations journal, December 1975

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

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Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length journal, September 2015

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b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD journal, September 2019

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Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism journal, September 2019

Isospin-0 π π s-wave scattering length from twisted mass lattice QCD journal, September 2017

Pion-nucleon scattering in the Roper channel from lattice QCD journal, January 2017

Excited and exotic charmonium, D s and D meson spectra for two light quark masses from lattice QCD journal, December 2016

Standard Model Prediction for Direct C P Violation in K → π π Decay journal, November 2015

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD journal, July 2018

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Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice journal, July 2004

Precise determination of the I = 2 π π scattering length from mixed-action lattice QCD journal, January 2008

Meson-baryon scattering lengths from mixed-action lattice QCD journal, April 2010

Two particle states and the S -matrix elements in multi-channel scattering journal, July 2005

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

Three-body unitarity in the finite volume journal, December 2017

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

Angular momentum on a lattice journal, July 1982

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

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

Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states journal, December 2019

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

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Lattice QCD and Three-Particle Decays of Resonances journal, October 2019

Elastic I = 3 / 2 p -wave nucleon-pion scattering amplitude and the Δ ( 1232 ) resonance from N f = 2 + 1 lattice QCD journal, January 2018

Implementing the three-particle quantization condition including higher partial waves journal, March 2019

Isoscalar π π , K K ¯ , η η scattering and the σ , f 0 , f 2 mesons from QCD journal, March 2018

I = 2 π π S -wave scattering phase shift from lattice QCD journal, February 2012

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

Three-body spectrum in a finite volume: The role of cubic symmetry journal, June 2018

Phase shift of isospin-2 π π scattering from lattice QCD journal, April 2011

I = 2 two-pion wave function and scattering phase shift journal, July 2008

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

K → π π Δ I = 3 / 2 decay amplitude in the continuum limit journal, April 2015

The Chroma Software System for Lattice QCD journal, March 2005

Scalar mesons in a finite volume
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Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
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Helicity operators for mesons in flight on the lattice
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Rummukainen-Gottlieb formula on a two-particle system with different masses
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Coupled-channel scattering on a torus
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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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Solving lattice QCD systems of equations using mixed precision solvers on GPUs
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Toward the excited isoscalar meson spectrum from lattice QCD
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Moving multichannel systems in a finite volume with application to proton-proton fusion
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Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies
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Lattice calculation of I = 2 pion scattering length
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Theory of the Low-Energy Pion-Pion Interaction
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Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
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Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
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$P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD
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Resonance scattering phase shifts on a non-rest-frame lattice
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The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
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Minuit - a system for function minimization and analysis of the parameter errors and correlations
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Relativistic, model-independent, three-particle quantization condition
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Novel quark-field creation operator construction for hadronic physics in lattice QCD
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Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length
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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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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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$b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD
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Toward the excited meson spectrum of dynamical QCD
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Axial resonances a 1(1260), b 1(1235) and their decays from the lattice
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Two-particle multichannel systems in a finite volume with arbitrary spin
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Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
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Isospin-0 $π π$ s-wave scattering length from twisted mass lattice QCD
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Pion-nucleon scattering in the Roper channel from lattice QCD
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Excited and exotic charmonium, D s and D meson spectra for two light quark masses from lattice QCD
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Standard Model Prediction for Direct $C P$ Violation in $K \to π π$ Decay
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Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
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Three-particle systems with resonant subprocesses in a finite volume
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Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice
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Precise determination of the $I = 2$ $π π$ scattering length from mixed-action lattice QCD
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Meson-baryon scattering lengths from mixed-action lattice QCD
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Two particle states and the S -matrix elements in multi-channel scattering
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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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Three-body unitarity in the finite volume
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Scattering phases for meson and baryon resonances on general moving-frame lattices
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Angular momentum on a lattice
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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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Isoscalar $π π$ Scattering and the $σ$ Meson Resonance from QCD
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Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states
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Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
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Resonances in coupled $π K, η K$ scattering from lattice QCD
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Scalar mesons moving in a finite volume and the role of partial wave mixing
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Lattice QCD and Three-Particle Decays of Resonances
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Elastic $I = 3 / 2$ $p$ -wave nucleon-pion scattering amplitude and the $Δ (1232)$ resonance from $N_{f} = 2 + 1$ lattice QCD
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Implementing the three-particle quantization condition including higher partial waves
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Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD
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$I = 2$ $π π$ $S$ -wave scattering phase shift 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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Three-body spectrum in a finite volume: The role of cubic symmetry
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Phase shift of isospin-2 $π π$ scattering from lattice QCD
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$I = 2$ two-pion wave function and scattering phase shift
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Finite-volume effects for two-hadron states in moving frames
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$K \to π π$ $Δ I = 3 / 2$ decay amplitude in the continuum limit
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The Chroma Software System for Lattice QCD
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