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

Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

doi:10.1103/PhysRevD.100.054506

Title: $b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD

Abstract

We present the first lattice QCD calculation of coupled $$\pi\omega$$ and $$\pi\phi$$ scattering, incorporating coupled $$S$$ and $$D$$-wave $$\pi\omega$$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis of matrices of two-point correlation functions, computed using large bases of operators resembling single-meson, two-meson and three-meson structures, with the light-quark mass corresponding to a pion mass of $$m_\pi \approx 391$$ MeV. Utilising the relationship between the discrete spectrum of finite-volume energies and infinite-volume scattering amplitudes, we find a narrow axial-vector resonance ($$J^{PC}=1^{+-}$$), the analogue of the $$b_1$$ meson, with mass $$m_{R}\approx1380$$ MeV and width $$\Gamma_{R}\approx 91$$ MeV. The resonance is found to couple dominantly to $$S$$-wave $$\pi\omega$$, with a much-suppressed coupling to $$D$$-wave $$\pi\omega$$, and a negligible coupling to $$\pi\phi$$ consistent with the `OZI rule'. No resonant behavior is observed in $$\pi\phi$$, indicating the absence of a putative low-mass $$Z_s$$ analogue of the $$Z_c$$ claimed in $$\pi J/\psi$$. In order to minimally present the contents of a unitary three-channel scattering matrix, we introduce an $$n$$-channel generalization of the traditional two-channel Stapp parameterization.

Authors:: Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.; Hadron Spectrum Collaboration

Publication Date:: Wed Sep 18 00:00:00 EDT 2019

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)

Contributing Org.:: Hadron Spectrum Collaboration

OSTI Identifier:: 1562569

Alternate Identifier(s):: OSTI ID: 1567053

Report Number(s):: JLAB-THY-19-2910; DOE/OR/; 23177-4664; arXiv:1904.04136; DAMTP-2019-12
Journal ID: ISSN 2470-0010; PRVDAQ; 054506

Grant/Contract Number:: SC0018416; AC05-06OR23177; AC05-00OR22725; AC02-05CH11231; ST/P000681/1; ST/P002307/1; ST/R002452/1; ST/R00689X/1; UF160419

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., and Hadron Spectrum Collaboration. b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.054506.

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                    Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., & Hadron Spectrum Collaboration. b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.100.054506

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                    Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., and Hadron Spectrum Collaboration. Wed .  
"b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.100.054506.

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@article{osti_1562569,

  title        = {b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD},

  author       = {Woss, Antoni J. and Thomas, Christopher E. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J. and Hadron Spectrum Collaboration},

  abstractNote = {We present the first lattice QCD calculation of coupled $\pi\omega$ and $\pi\phi$ scattering, incorporating coupled $S$ and $D$-wave $\pi\omega$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis of matrices of two-point correlation functions, computed using large bases of operators resembling single-meson, two-meson and three-meson structures, with the light-quark mass corresponding to a pion mass of $m_\pi \approx 391$ MeV. Utilising the relationship between the discrete spectrum of finite-volume energies and infinite-volume scattering amplitudes, we find a narrow axial-vector resonance ($J^{PC}=1^{+-}$), the analogue of the $b_1$ meson, with mass $m_{R}\approx1380$ MeV and width $\Gamma_{R}\approx 91$ MeV. The resonance is found to couple dominantly to $S$-wave $\pi\omega$, with a much-suppressed coupling to $D$-wave $\pi\omega$, and a negligible coupling to $\pi\phi$ consistent with the `OZI rule'. No resonant behavior is observed in $\pi\phi$, indicating the absence of a putative low-mass $Z_s$ analogue of the $Z_c$ claimed in $\pi J/\psi$. In order to minimally present the contents of a unitary three-channel scattering matrix, we introduce an $n$-channel generalization of the traditional two-channel Stapp parameterization.},

  doi          = {10.1103/PhysRevD.100.054506},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 100,

  place        = {United States},

  year         = {Wed Sep 18 00:00:00 EDT 2019},

  month        = {Wed Sep 18 00:00:00 EDT 2019}

}

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Cited by: 30 works

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FIG. 1: Quark propagation lines (black are light quarks, green are strange quarks) from operator constructions featuring in an optimized $a$₀-like operator.

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Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

Lüscher, M.
Communications in Mathematical Physics, Vol. 104, Issue 2
DOI: 10.1007/BF01211589

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

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

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

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

Tuning for three flavors of anisotropic clover fermions with stout-link smearing
journal, September 2008

Edwards, Robert G.; Joó, Bálint; Lin, Huey-Wen
Physical Review D, Vol. 78, Issue 5
DOI: 10.1103/PhysRevD.78.054501

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

$S$ - 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

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

McNeile, C.; Michael, C.
Physical Review D, Vol. 73, Issue 7
DOI: 10.1103/PhysRevD.73.074506

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

A study of the reaction π−p→ωπ−p at 18 GeV/c: the D and S decay amplitudes for b1(1235)→ωπ
journal, August 2002

Nozar, M.; Adams, G. S.; Adams, T.
Physics Letters B, Vol. 541, Issue 1-2
DOI: 10.1016/S0370-2693(02)02194-9

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

$ρ$ 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

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

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

Review of Particle Physics
journal, August 2018

Tanabashi, M.; Hagiwara, K.; Hikasa, K.
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.030001

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

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

Three particles in a finite volume
journal, May 2012

Polejaeva, K.; Rusetsky, A.
The European Physical Journal A, Vol. 48, Issue 5
DOI: 10.1140/epja/i2012-12067-8

The Angular Distribution of Scattering and Reaction Cross Sections
journal, October 1952

Blatt, John M.; Biedenharn, L. C.
Reviews of Modern Physics, Vol. 24, Issue 4
DOI: 10.1103/RevModPhys.24.258

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

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

Briceño, Raúl A.; Davoudi, Zohreh
Physical Review D, Vol. 87, Issue 9
DOI: 10.1103/PhysRevD.87.094507

Charmonium excited state spectrum in lattice QCD
journal, February 2008

Dudek, Jozef J.; Edwards, Robert G.; Mathur, Nilmani
Physical Review D, Vol. 77, Issue 3
DOI: 10.1103/PhysRevD.77.034501

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

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

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

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

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

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

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

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

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

Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
journal, November 2017

Cheung, Gavin K. C.; Thomas, Christopher E.; Dudek, Jozef J.
Journal of High Energy Physics, Vol. 2017, Issue 11
DOI: 10.1007/JHEP11(2017)033

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

Observation of a Charged Charmoniumlike Structure in $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ at $\sqrt{s} = 4.26 GeV$
journal, June 2013

Ablikim, M.; Achasov, M. N.; Ai, X. C.
Physical Review Letters, Vol. 110, Issue 25
DOI: 10.1103/PhysRevLett.110.252001

Study of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and Observation of a Charged Charmoniumlike State at Belle
journal, June 2013

Liu, Z. Q.; Shen, C. P.; Yuan, C. Z.
Physical Review Letters, Vol. 110, Issue 25
DOI: 10.1103/PhysRevLett.110.252002

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

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016

Moir, Graham; Peardon, Michael; Ryan, Sinéad M.
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)011

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

Moore, David C.; Fleming, George T.
Physical Review D, Vol. 73, Issue 1
DOI: 10.1103/PhysRevD.73.014504

Excited state baryon spectroscopy from lattice QCD
journal, October 2011

Edwards, Robert G.; Dudek, Jozef J.; Richards, David G.
Physical Review D, Vol. 84, Issue 7
DOI: 10.1103/PhysRevD.84.074508

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

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 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

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

$K π$ scattering and the $K^{*}$ decay width from lattice QCD
journal, September 2013

Prelovsek, Sasa; Leskovec, Luka; Lang, C. B.
Physical Review D, Vol. 88, Issue 5
DOI: 10.1103/PhysRevD.88.054508

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

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

Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi
Physical Review D, Vol. 72, Issue 11
DOI: 10.1103/PhysRevD.72.114506

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

Numerical study of the relativistic three-body quantization condition in the isotropic approximation
journal, July 2018

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
Physical Review D, Vol. 98, Issue 1
DOI: 10.1103/PhysRevD.98.014506

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

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

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

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

$X (3872)$ and $Y (4140)$ using diquark-antidiquark operators with lattice QCD
journal, August 2015

Padmanath, M.; Lang, C. B.; Prelovsek, S.
Physical Review D, Vol. 92, Issue 3
DOI: 10.1103/PhysRevD.92.034501

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

Adjoint sources in lattice gauge theory
journal, September 1985

Michael, C.
Nuclear Physics B, Vol. 259, Issue 1
DOI: 10.1016/0550-3213(85)90297-4

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD
journal, July 2018

Brett, Ruairí; Bulava, John; Fallica, Jacob
Nuclear Physics B, Vol. 932
DOI: 10.1016/j.nuclphysb.2018.05.008

$ρ$ 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

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments
journal, January 1957

Stapp, H. P.; Ypsilantis, T. J.; Metropolis, N.
Physical Review, Vol. 105, Issue 1
DOI: 10.1103/PhysRev.105.302

Quark-Mass Dependence of Elastic $π K$ Scattering from QCD
journal, July 2019

Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J.
Physical Review Letters, Vol. 123, Issue 4
DOI: 10.1103/PhysRevLett.123.042002

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

Moore, David C.; Fleming, George T.
Physical Review D, Vol. 74, Issue 7
DOI: 10.1103/PhysRevD.74.079905

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

Isoscalar meson spectroscopy from lattice QCD
journal, June 2011

Dudek, Jozef J.; Edwards, Robert G.; Joó, Bálint
Physical Review D, Vol. 83, Issue 11
DOI: 10.1103/PhysRevD.83.111502

Search for a strangeonium-like structure $Z_{s}$ decaying into $ϕ π$ and a measurement of the cross section $e^{+} e^{-} \to ϕ π π$
journal, January 2019

Ablikim, M.; Achasov, M. N.; Ahmed, S.
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.011101

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

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

Determination of s - and p -wave I  = 1/2 Kπ scattering amplitudes in N f  = 2 + 1 lattice QCD
text, January 2018

Brett, Ruairí; Bulava, John; Fallica, Jacob
GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
DOI: 10.15120/gsi-2019-00680

Scattering phases for meson and baryon resonances on general moving-frame lattices
text, January 2012

Gockeler, M.; Horsley, R.; Lage, M.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/phppubdb-23062

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journal, December 2019

Abreu, Luciano M.; Favero, Aline G.; Llanes-Estrada, Felipe J.
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/physrevd.100.116012

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Title: b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD

Abstract

Citation Formats

Figures / Tables:

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

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

Finite-Volume Spectrum of π + π + and π + π + π + Systems journal, February 2019

Coupled-channel scattering on a torus journal, July 2013

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

Tuning for three flavors of anisotropic clover fermions with stout-link smearing journal, September 2008

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

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

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

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

A study of the reaction π−p→ωπ−p at 18 GeV/c: the D and S decay amplitudes for b1(1235)→ωπ journal, August 2002

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

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

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

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

Review of Particle Physics journal, August 2018

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

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

Three particles in a finite volume journal, May 2012

The Angular Distribution of Scattering and Reaction Cross Sections journal, October 1952

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

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

Charmonium excited state spectrum in lattice QCD journal, February 2008

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

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

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

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

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

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

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

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

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

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

Tetraquark operators in lattice QCD and exotic flavour states in the charm sector journal, November 2017

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

Observation of a Charged Charmoniumlike Structure in e + e − → π + π − J / ψ at s = 4.26 GeV journal, June 2013

Study of e + e − → π + π − J / ψ and Observation of a Charged Charmoniumlike State at Belle journal, June 2013

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

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD journal, October 2016

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

Excited state baryon spectroscopy from lattice QCD journal, October 2011

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

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

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

K π scattering and the K * decay width from lattice QCD journal, September 2013

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

Numerical study of the relativistic three-body quantization condition in the isotropic approximation journal, July 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

Rho resonance parameters from lattice QCD journal, August 2016

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

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

X ( 3872 ) and Y ( 4140 ) using diquark-antidiquark operators with lattice QCD journal, August 2015

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

Adjoint sources in lattice gauge theory journal, September 1985

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD journal, July 2018

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

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments journal, January 1957

Quark-Mass Dependence of Elastic π K Scattering from QCD journal, July 2019

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

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

Isoscalar meson spectroscopy from lattice QCD journal, June 2011

Search for a strangeonium-like structure Z s decaying into ϕ π and a measurement of the cross section e + e − → ϕ π π journal, January 2019

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

The Chroma Software System for Lattice QCD journal, March 2005

Determination of s - and p -wave I = 1/2 Kπ scattering amplitudes in N f = 2 + 1 lattice QCD text, January 2018

Scattering phases for meson and baryon resonances on general moving-frame lattices text, January 2012

Mixing and m q dependence of axial vector mesons in the Coulomb gauge QCD model journal, December 2019

Title: $b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

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

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

Coupled-channel scattering on a torus
journal, July 2013

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

Tuning for three flavors of anisotropic clover fermions with stout-link smearing
journal, September 2008

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

$S$ - 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

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

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

A study of the reaction π−p→ωπ−p at 18 GeV/c: the D and S decay amplitudes for b1(1235)→ωπ
journal, August 2002

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

$ρ$ 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

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

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

Review of Particle Physics
journal, August 2018

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

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

Three particles in a finite volume
journal, May 2012

The Angular Distribution of Scattering and Reaction Cross Sections
journal, October 1952

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

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

Charmonium excited state spectrum in lattice QCD
journal, February 2008

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

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

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

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

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

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

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

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

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

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

Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
journal, November 2017

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

Observation of a Charged Charmoniumlike Structure in $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ at $\sqrt{s} = 4.26 GeV$
journal, June 2013

Study of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and Observation of a Charged Charmoniumlike State at Belle
journal, June 2013

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

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016

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

Excited state baryon spectroscopy from lattice QCD
journal, October 2011

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

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

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

$K π$ scattering and the $K^{*}$ decay width from lattice QCD
journal, September 2013

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

Numerical study of the relativistic three-body quantization condition in the isotropic approximation
journal, July 2018

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

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

Rho resonance parameters from lattice QCD
journal, August 2016

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

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

$X (3872)$ and $Y (4140)$ using diquark-antidiquark operators with lattice QCD
journal, August 2015

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

Adjoint sources in lattice gauge theory
journal, September 1985

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD
journal, July 2018

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

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments
journal, January 1957

Quark-Mass Dependence of Elastic $π K$ Scattering from QCD
journal, July 2019

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

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

Isoscalar meson spectroscopy from lattice QCD
journal, June 2011

Search for a strangeonium-like structure $Z_{s}$ decaying into $ϕ π$ and a measurement of the cross section $e^{+} e^{-} \to ϕ π π$
journal, January 2019

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

The Chroma Software System for Lattice QCD
journal, March 2005

Determination of s - and p -wave I  = 1/2 Kπ scattering amplitudes in N f  = 2 + 1 lattice QCD
text, January 2018

Scattering phases for meson and baryon resonances on general moving-frame lattices
text, January 2012

Mixing and $m_{q}$ dependence of axial vector mesons in the Coulomb gauge QCD model
journal, December 2019