Pion scattering in the isospin I=2 channel from elongated lattices

Culver, C.; Mai, M.; Alexandru, A.; Döring, M.; Lee, F. X.

doi:10.1103/PhysRevD.100.034509

Title: Pion scattering in the isospin $I = 2$ channel from elongated lattices

Abstract

Pion-pion elastic scattering in the isospin I=2 channel is reported on in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our measurements match the experimental results.

Authors:: Culver, C.; Mai, M.; Alexandru, A.; Döring, M.; Lee, F. X.

Publication Date:: 2019-08-01

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1556834

Alternate Identifier(s):: OSTI ID: 1557623

Report Number(s):: JLAB-THY-19-2972; DOE/OR/-23177-4729; arXiv:1905.10202
Journal ID: ISSN 2470-0010; PRVDAQ; 034509

Grant/Contract Number:: FG02-95ER40907; AC05-06OR23177; SC001658MM; PHY-1151648; PHY-1452055

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; 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; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Culver, C., Mai, M., Alexandru, A., Döring, M., and Lee, F. X.. Pion scattering in the isospin I=2 channel from elongated lattices.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.034509.

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                    Culver, C., Mai, M., Alexandru, A., Döring, M., & Lee, F. X.. Pion scattering in the isospin I=2 channel from elongated lattices.  United States.  https://doi.org/10.1103/PhysRevD.100.034509

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                    Culver, C., Mai, M., Alexandru, A., Döring, M., and Lee, F. X.. Thu .  
"Pion scattering in the isospin I=2 channel from elongated lattices".  United States.  https://doi.org/10.1103/PhysRevD.100.034509.

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@article{osti_1556834,

  title        = {Pion scattering in the isospin I=2 channel from elongated lattices},

  author       = {Culver, C. and Mai, M. and Alexandru, A. and Döring, M. and Lee, F. X.},

  abstractNote = {Pion-pion elastic scattering in the isospin I=2 channel is reported on in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our measurements match the experimental results.},

  doi          = {10.1103/PhysRevD.100.034509},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

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Works referenced in this record:

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016

Bolton, Daniel R.; Briceño, Raúl A.; Wilson, David J.
Physics Letters B, Vol. 757
DOI: 10.1016/j.physletb.2016.03.043

Energy shift of the three-particle system in a finite volume
journal, April 2019

Pang, Jin-Yi; Wu, Jia-Jun; Hammer, Hans-Werner
Physical Review D, Vol. 99, Issue 7
DOI: 10.1103/PhysRevD.99.074513

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

Pelissier, C.; Alexandru, A.
Physical Review D, Vol. 87, Issue 1
DOI: 10.1103/PhysRevD.87.014503

Finite-Volume Spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ Systems
journal, February 2019

Mai, M.; Döring, M.
Physical Review Letters, Vol. 122, Issue 6
DOI: 10.1103/PhysRevLett.122.062503

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

Inverse amplitude method and Adler zeros
journal, March 2008

Gómez Nicola, A.; Peláez, J. R.; Ríos, G.
Physical Review D, Vol. 77, Issue 5
DOI: 10.1103/PhysRevD.77.056006

Multi-mass solvers for lattice QCD on GPUs
journal, February 2012

Alexandru, A.; Pelissier, C.; Gamari, B.
Journal of Computational Physics, Vol. 231, Issue 4
DOI: 10.1016/j.jcp.2011.11.003

$S$ - 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

Chiral Perturbation Theory and Final-State Theorem
journal, November 1988

Truong, Tran N.
Physical Review Letters, Vol. 61, Issue 22
DOI: 10.1103/PhysRevLett.61.2526

Timelike pion form factor in lattice QCD
journal, March 2015

Feng, Xu; Aoki, Sinya; Hashimoto, Shoji
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054504

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

Gasser, J.; Leutwyler, H.
Nuclear Physics B, Vol. 250, Issue 1-4
DOI: 10.1016/0550-3213(85)90492-4

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

Scattering phase-shift formulas for mesons and baryons in elongated boxes
journal, September 2017

Lee, Frank X.; Alexandru, Andrei
Physical Review D, Vol. 96, Issue 5
DOI: 10.1103/PhysRevD.96.054508

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

$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$
journal, March 2016

Bali, Gunnar S.; Collins, Sara; Cox, Antonio
Physical Review D, Vol. 93, Issue 5
DOI: 10.1103/PhysRevD.93.054509

Hypercubic smeared links for dynamical fermions
journal, May 2007

Hasenfratz, Anna; Hoffmann, Roland; Schaefer, Stefan
Journal of High Energy Physics, Vol. 2007, Issue 05
DOI: 10.1088/1126-6708/2007/05/029

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

$P$ -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

$I = 2 π π$ scattering phase shift with two flavors of $O (a)$ improved dynamical quarks
journal, October 2004

Yamazaki, T.; Aoki, S.; Fukugita, M.
Physical Review D, Vol. 70, Issue 7
DOI: 10.1103/PhysRevD.70.074513

Chiral symmetry constraints on resonant amplitudes
journal, March 2018

Bruns, Peter C.; Mai, Maxim
Physics Letters B, Vol. 778
DOI: 10.1016/j.physletb.2018.01.006

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

Chiral extrapolations of the $ρ (770)$ meson in $N_{f} = 2 + 1$ lattice QCD simulations
journal, August 2017

Hu, B.; Molina, R.; Döring, M.
Physical Review D, Vol. 96, Issue 3
DOI: 10.1103/PhysRevD.96.034520

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

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

Aoki, S.; Fukugita, M.; Ishikawa, K-I.
Physical Review D, Vol. 76, Issue 9
DOI: 10.1103/PhysRevD.76.094506

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

Feng, Xu; Jansen, Karl; Renner, Dru B.
Physical Review D, Vol. 83, Issue 9
DOI: 10.1103/PhysRevD.83.094505

$I = 2$ $π π$ scattering from fully-dynamical mixed-action lattice QCD
journal, March 2006

Beane, Silas R.; Bedaque, Paulo F.; Orginos, Kostas
Physical Review D, Vol. 73, Issue 5
DOI: 10.1103/PhysRevD.73.054503

Experimental study of 30 000 $K_{e 4}$ decays
journal, February 1977

Rosselet, L.; Extermann, P.; Fischer, J.
Physical Review D, Vol. 15, Issue 3
DOI: 10.1103/PhysRevD.15.574

Lattice QCD calculation of full pion scattering lengths
journal, October 1993

Kuramashi, Y.; Fukugita, M.; Mino, H.
Physical Review Letters, Vol. 71, Issue 15
DOI: 10.1103/PhysRevLett.71.2387

Lattice QCD study of the $s$ -wave $π π$ scattering lengths in the $I = 0$ and 2 channels
journal, April 2013

Fu, Ziwen
Physical Review D, Vol. 87, Issue 7
DOI: 10.1103/PhysRevD.87.074501

Chiral perturbation theory to one loop
journal, November 1984

Gasser, J.; Leutwyler, H.
Annals of Physics, Vol. 158, Issue 1
DOI: 10.1016/0003-4916(84)90242-2

From controversy to precision on the sigma meson: A review on the status of the non-ordinary <mml:math altimg="si28.gif" display="inline" 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:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>500</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> resonance
journal, November 2016

Peláez, José R.
Physics Reports, Vol. 658
DOI: 10.1016/j.physrep.2016.09.001

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

Lüscher, Martin; Wolff, Ulli
Nuclear Physics B, Vol. 339, Issue 1
DOI: 10.1016/0550-3213(90)90540-T

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015

Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 92, Issue 11
DOI: 10.1103/PhysRevD.92.114509

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

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

Lüscher, M.
Communications in Mathematical Physics, Vol. 105, Issue 2
DOI: 10.1007/BF01211097

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

Multipion states in lattice QCD and the charged-pion condensate
journal, July 2008

Detmold, William; Savage, Martin J.; Torok, Aaron
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.014507

Scattering lengths for two pseudoscalar meson systems
journal, March 2014

Sasaki, Kiyoshi; Ishizuka, Naruhito; Oka, Makoto
Physical Review D, Vol. 89, Issue 5
DOI: 10.1103/PhysRevD.89.054502

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

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

Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004

Feng, Xu; Li, Xin; Liu, Chuan
Physical Review D, Vol. 70, Issue 1
DOI: 10.1103/PhysRevD.70.014505

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

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

Lang, C. B.; Mohler, Daniel; Prelovsek, Sasa
Physical Review D, Vol. 84, Issue 5
DOI: 10.1103/PhysRevD.84.054503

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

Variational approach to $N$ -body interactions in finite volume
journal, November 2018

Guo, Peng; Döring, Michael; Szczepaniak, Adam P.
Physical Review D, Vol. 98, Issue 9
DOI: 10.1103/PhysRevD.98.094502

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

collaboration, Alpha; Blossier, Benoit; Morte, Michele Della
Journal of High Energy Physics, Vol. 2009, Issue 04
DOI: 10.1088/1126-6708/2009/04/094

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations
journal, October 2018

Romero-López, F.; Rusetsky, A.; Urbach, C.
The European Physical Journal C, Vol. 78, Issue 10
DOI: 10.1140/epjc/s10052-018-6325-8

Roy equation analysis of ππ scattering
journal, November 2001

Ananthanarayan, B.; Colangelo, G.; Gasser, J.
Physics Reports, Vol. 353, Issue 4
DOI: 10.1016/S0370-1573(01)00009-6

Extraction of isoscalar $π π$ phase shifts from lattice QCD
journal, July 2018

Guo, D.; Alexandru, A.; Molina, R.
Physical Review D, Vol. 98, Issue 1
DOI: 10.1103/PhysRevD.98.014507

Erratum: Coupled channel analysis of the $ρ$ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]
journal, March 2014

Lang, C. B.; Mohler, Daniel; Prelovsek, Sasa
Physical Review D, Vol. 89, Issue 5
DOI: 10.1103/PhysRevD.89.059903

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

$I = 2$ pion scattering length from two-pion wave functions
journal, May 2005

Aoki, S.; Fukugita, M.; Ishikawa, K-I.
Physical Review D, Vol. 71, Issue 9
DOI: 10.1103/PhysRevD.71.094504

Rho resonance parameters from lattice QCD
journal, August 2016

Guo, Dehua; Alexandru, Andrei; Molina, Raquel
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034501

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

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

$I = 2$ pion scattering amplitude with Wilson fermions
journal, July 1993

Gupta, Rajan; Patel, Apoorva; Sharpe, Stephen R.
Physical Review D, Vol. 48, Issue 1
DOI: 10.1103/PhysRevD.48.388

Chiral extrapolation of the sigma resonance
journal, July 2018

Döring, Michael; Hu, Bin; Mai, Maxim
Physics Letters B, Vol. 782
DOI: 10.1016/j.physletb.2018.05.042

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

Energy of $n$ identical bosons in a finite volume at $O (L^{- 7})$
journal, March 2008

Detmold, William; Savage, Martin J.
Physical Review D, Vol. 77, Issue 5
DOI: 10.1103/PhysRevD.77.057502

$ρ$ meson decay in $2 + 1$ flavor lattice QCD
journal, November 2011

Aoki, S.; Ishikawa, K-I.; Ishizuka, N.
Physical Review D, Vol. 84, Issue 9
DOI: 10.1103/PhysRevD.84.094505

Three-body unitarity with isobars revisited
journal, September 2017

Mai, M.; Hu, B.; Döring, M.
The European Physical Journal A, Vol. 53, Issue 9
DOI: 10.1140/epja/i2017-12368-4

Two-Flavor Simulations of $ρ (770)$ and the Role of the $K \bar{K}$ Channel
journal, September 2016

Hu, B.; Molina, R.; Döring, M.
Physical Review Letters, Vol. 117, Issue 12
DOI: 10.1103/PhysRevLett.117.122001

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

Fu, Ziwen; Wang, Lingyun
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034505

$I = 0$ $π π$ $s$ -wave scattering length from lattice QCD
journal, July 2018

Fu, Ziwen; Chen, Xu
Physical Review D, Vol. 98, Issue 1
DOI: 10.1103/PhysRevD.98.014514

ππ phase-shift analysis below the threshold
journal, September 1974

Estabrooks, P.; Martin, A. D.
Nuclear Physics B, Vol. 79, Issue 2
DOI: 10.1016/0550-3213(74)90488-X

Multipion Systems in Lattice QCD and the Three-Pion Interaction
journal, February 2008

Beane, Silas R.; Detmold, William; Luu, Thomas C.
Physical Review Letters, Vol. 100, Issue 8
DOI: 10.1103/PhysRevLett.100.082004

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Title: Pion scattering in the isospin I = 2 channel from elongated lattices

Abstract

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

I = 2 π π scattering phase shift with two flavors of O a improved dynamical quarks journal, October 2004

Chiral symmetry constraints on resonant amplitudes journal, March 2018

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

Chiral extrapolations of the ρ ( 770 ) meson in N f = 2 + 1 lattice QCD simulations journal, August 2017

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

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

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

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

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

I = 2 π π scattering from fully-dynamical mixed-action lattice QCD journal, March 2006

Experimental study of 30 000 K e 4 decays journal, February 1977

Lattice QCD calculation of full pion scattering lengths journal, October 1993

Lattice QCD study of the s -wave π π scattering lengths in the I = 0 and 2 channels journal, April 2013

Chiral perturbation theory to one loop journal, November 1984

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

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude journal, December 2015

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

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

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

Multipion states in lattice QCD and the charged-pion condensate journal, July 2008

Scattering lengths for two pseudoscalar meson systems journal, March 2014

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

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

Two particle states in an asymmetric box and the elastic scattering phases journal, July 2004

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

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

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

Variational approach to N -body interactions in finite volume journal, November 2018

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

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations journal, October 2018

Roy equation analysis of ππ scattering journal, November 2001

Extraction of isoscalar π π phase shifts from lattice QCD journal, July 2018

Erratum: Coupled channel analysis of the ρ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)] journal, March 2014

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

I = 2 pion scattering length from two-pion wave functions journal, May 2005

Rho resonance parameters from lattice QCD journal, August 2016

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

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

I = 2 pion scattering amplitude with Wilson fermions journal, July 1993

Chiral extrapolation of the sigma resonance journal, July 2018

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

Energy of n identical bosons in a finite volume at O ( L − 7 ) journal, March 2008

ρ meson decay in 2 + 1 flavor lattice QCD journal, November 2011

Three-body unitarity with isobars revisited journal, September 2017

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

I = 0 π π s -wave scattering length from lattice QCD journal, July 2018

ππ phase-shift analysis below the threshold journal, September 1974

Multipion Systems in Lattice QCD and the Three-Pion Interaction journal, February 2008

Title: Pion scattering in the isospin $I = 2$ channel from elongated lattices

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016

Energy shift of the three-particle system in a finite volume
journal, April 2019

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

Finite-Volume Spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ Systems
journal, February 2019

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

Inverse amplitude method and Adler zeros
journal, March 2008

Multi-mass solvers for lattice QCD on GPUs
journal, February 2012

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

Chiral Perturbation Theory and Final-State Theorem
journal, November 1988

Timelike pion form factor in lattice QCD
journal, March 2015

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

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

Scattering phase-shift formulas for mesons and baryons in elongated boxes
journal, September 2017

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

$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$
journal, March 2016

Hypercubic smeared links for dynamical fermions
journal, May 2007

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

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

$I = 2 π π$ scattering phase shift with two flavors of $O (a)$ improved dynamical quarks
journal, October 2004

Chiral symmetry constraints on resonant amplitudes
journal, March 2018

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

Chiral extrapolations of the $ρ (770)$ meson in $N_{f} = 2 + 1$ lattice QCD simulations
journal, August 2017

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

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

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

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

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

$I = 2$ $π π$ scattering from fully-dynamical mixed-action lattice QCD
journal, March 2006

Experimental study of 30 000 $K_{e 4}$ decays
journal, February 1977

Lattice QCD calculation of full pion scattering lengths
journal, October 1993

Lattice QCD study of the $s$ -wave $π π$ scattering lengths in the $I = 0$ and 2 channels
journal, April 2013

Chiral perturbation theory to one loop
journal, November 1984

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

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015

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

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

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

Multipion states in lattice QCD and the charged-pion condensate
journal, July 2008

Scattering lengths for two pseudoscalar meson systems
journal, March 2014

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

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

Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004

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

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

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

Variational approach to $N$ -body interactions in finite volume
journal, November 2018

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

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations
journal, October 2018

Roy equation analysis of ππ scattering
journal, November 2001

Extraction of isoscalar $π π$ phase shifts from lattice QCD
journal, July 2018

Erratum: Coupled channel analysis of the $ρ$ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]
journal, March 2014

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

$I = 2$ pion scattering length from two-pion wave functions
journal, May 2005

Rho resonance parameters from lattice QCD
journal, August 2016

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

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

$I = 2$ pion scattering amplitude with Wilson fermions
journal, July 1993

Chiral extrapolation of the sigma resonance
journal, July 2018

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

Energy of $n$ identical bosons in a finite volume at $O (L^{- 7})$
journal, March 2008

$ρ$ meson decay in $2 + 1$ flavor lattice QCD
journal, November 2011

Three-body unitarity with isobars revisited
journal, September 2017

Two-Flavor Simulations of $ρ (770)$ and the Role of the $K \bar{K}$ Channel
journal, September 2016

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

$I = 0$ $π π$ $s$ -wave scattering length from lattice QCD
journal, July 2018

ππ phase-shift analysis below the threshold
journal, September 1974

Multipion Systems in Lattice QCD and the Three-Pion Interaction
journal, February 2008