Consistency checks for two-body finite-volume matrix elements. II. Perturbative systems

Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W.

doi:10.1103/PhysRevD.101.094508

Title: Consistency checks for two-body finite-volume matrix elements. II. Perturbative systems

Journal Article · Thu May 21 00:00:00 EDT 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.101.094508· OSTI ID:1630374

Briceño, Raúl A.; Hansen, Maxwell T.;

There is a broad need to study form-factor of multihadron states, from understanding the na- ture of hadronic resonances and bound-states in terms of their constituent quarks and gluons to the manifestation of beyond the Standard Model physics at low energies. With this goal in mind, a framework was developed to determine two-hadron form-factors by relating finite-volume matrix ele- ments, computed from lattice QCD, to infinite-volume $$\mathbf{2}+\mathcal{J} \to \mathbf{2}$$ electroweak transition amplitudes. Following earlier studies of the formalism, we continue to provide non-trivial consistency checks in order to gain confidence in the framework. We explore the non-relativistic limit of a two-hadron system probed by a scalar current, showing that near threshold the finite-volume matrix element can be expressed as a series in the inverse volume of the box. We provide two confirmations of the analytic expansion. First, we evaluate the exact result numerically and explore the asymptotically large-volume limit. Second, we perform an independent analytical determination of the matrix ele- ment using time-ordered perturbation theory. This is similar in spirit to existing calculations in the literature, but unlikely previous result we include all diagrams appearing at the desired order.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; de-sc0019229; sc0019229

OSTI ID:: 1630374

Alternate ID(s):: OSTI ID: 1630698

Report Number(s):: JLAB-THY-19-3113; DOE-OR-23177-4865; PRVDAQ; 094508

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (89)

Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of the $D_{s 0}^{*} (2317)$ Liu, Liuming; Orginos, Kostas; Guo, Feng-Kun Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014508	journal	January 2013
Emerging Understanding of the $Δ I = 1 / 2$ Rule from Lattice QCD Boyle, P. A.; Christ, N. H.; Garron, N. Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.152001	journal	April 2013
Hadron–Hadron interactions from $$N_\mathrm{{f}}=2+1+1$$Nf=2+1+1 lattice QCD: the $$\rho \,$$ρ-resonance: Extended Twisted Mass Collaboration Werner, M.; Ueding, M.; Helmes, C. The European Physical Journal A, Vol. 56, Issue 2 https://doi.org/10.1140/epja/s10050-020-00057-4	journal	February 2020
Ab Initio Determination of Light Hadron Masses Durr, S.; Fodor, Z.; Frison, J. Science, Vol. 322, Issue 5905 https://doi.org/10.1126/science.1163233	journal	November 2008
Resonance parameters of the rho-meson from asymmetrical lattices Pelissier, C.; Alexandru, A. Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014503	journal	January 2013
Finite-Volume Spectrum of $π^{+} π^{+}$ and $π^{+} π^{+} π^{+}$ Systems Mai, M.; Döring, M. Physical Review Letters, Vol. 122, Issue 6 https://doi.org/10.1103/PhysRevLett.122.062503	journal	February 2019
Multiple-channel generalization of Lellouch-Lüscher formula Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.016007	journal	July 2012
Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074510	journal	April 2017
Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$ Feng, Xu; Jin, Lu-Chang; Tuo, Xin-Yu Physical Review Letters, Vol. 122, Issue 2 https://doi.org/10.1103/PhysRevLett.122.022001	journal	January 2019
$n$ -boson energies at finite volume and three-boson interactions Beane, Silas R.; Detmold, William; Savage, Martin J. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.074507	journal	October 2007
Moving multichannel systems in a finite volume with application to proton-proton fusion Briceño, Raúl A.; Davoudi, Zohreh Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094507	journal	November 2013
The B → K ⁎ form factors on the lattice Agadjanov, Andria; Bernard, Véronique; Meißner, Ulf-G. Nuclear Physics B, Vol. 910 https://doi.org/10.1016/j.nuclphysb.2016.07.005	journal	September 2016
Improving the volume dependence of two-body binding energies calculated with lattice QCD Davoudi, Zohreh; Savage, Martin J. Physical Review D, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevD.84.114502	journal	December 2011
Timelike pion form factor in lattice QCD Feng, Xu; Aoki, Sinya; Hashimoto, Shoji Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054504	journal	March 2015
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions Lellouch, Laurent; Lüscher, Martin Communications in Mathematical Physics, Vol. 219, Issue 1 https://doi.org/10.1007/s002200100410	journal	May 2001
Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki Journal of High Energy Physics, Vol. 2017, Issue 10, 31 p. https://doi.org/10.1007/JHEP10(2017)115	journal	October 2017
Resonance scattering phase shifts on a non-rest-frame lattice Rummukainen, K.; Gottlieb, Steven Nuclear Physics B, Vol. 450, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00313-H	journal	September 1995
$P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034525	journal	August 2017
Relativistic, model-independent, multichannel $2 \to 2$ transition amplitudes in a finite volume Briceño, Raúl A.; Hansen, Maxwell T. Physical Review D, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevD.94.013008	journal	July 2016
Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction Huang, Kerson; Yang, C. N. Physical Review, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRev.105.767	journal	February 1957
Two-nucleon systems in a finite volume: Quantization conditions Briceño, Raúl; Davoudi, Zohreh; Luu, Thomas Physical Review D, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevD.88.034502	journal	August 2013
The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD Andersen, Christian; Bulava, John; Hörz, Ben Nuclear Physics B, Vol. 939 https://doi.org/10.1016/j.nuclphysb.2018.12.018	journal	February 2019
$π γ \to π π$ transition and the $ρ$ radiative decay width from lattice QCD Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074502	journal	October 2018
Predicting positive parity $B_{s}$ mesons from lattice QCD Lang, C. B.; Mohler, Daniel; Prelovsek, Sasa Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.08.038	journal	November 2015
Erratum: Testing the threshold expansion for three-particle energies at fourth order in $ϕ^{4}$ theory [Phys. Rev. D 96 , 054515 (2017)] Sharpe, Stephen R. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.099901	journal	November 2018
Masses and decay constants of the $D_{s 0}^{*} (2317)$ and $D_{s 1} (2460)$ from $N_{f} = 2$ lattice QCD close to the physical point Bali, Gunnar S.; Collins, Sara; Cox, Antonio Physical Review D, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevD.96.074501	journal	October 2017
Relativistic, model-independent, three-particle quantization condition Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.116003	journal	December 2014
Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094502	journal	November 2015
Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions Briceño, Raúl A.; Davoudi, Zohreh; Hansen, Maxwell T. Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevD.101.014509	journal	January 2020
Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD Leskovec, Luka; Prelovsek, Sasa Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.114507	journal	June 2012
$b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J. Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.054506	journal	September 2019
Two-particle multichannel systems in a finite volume with arbitrary spin Briceño, Raúl A. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074507	journal	April 2014
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.114509	journal	December 2015
Multichannel $1 \to 2$ transition amplitudes in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Walker-Loud, André Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevD.91.034501	journal	February 2015
$K \to (π π)_{I = 2}$ Decay Amplitude from Lattice QCD Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review Letters, Vol. 108, Issue 14 https://doi.org/10.1103/PhysRevLett.108.141601	journal	April 2012
Ab initio calculation of the neutron-proton mass difference Borsanyi, S.; Durr, S.; Fodor, Z. Science, Vol. 347, Issue 6229 https://doi.org/10.1126/science.1257050	journal	March 2015
Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume Briceño, Raúl A.; Hansen, Maxwell T. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074509	journal	October 2015
Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry Beane, S. R.; Chang, E.; Cohen, S. D. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024003	journal	August 2013
Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states Lüscher, M. Communications in Mathematical Physics, Vol. 105, Issue 2 https://doi.org/10.1007/BF01211097	journal	June 1986
Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J. Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)043	journal	July 2018
$I = 3$ Three-Pion Scattering Amplitude from Lattice QCD Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R. Physical Review Letters, Vol. 124, Issue 3 https://doi.org/10.1103/PhysRevLett.124.032001	journal	January 2020
Standard Model Prediction for Direct $C P$ Violation in $K \to π π$ Decay Bai, Z.; Blum, T.; Boyle, P. A. Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.212001	journal	November 2015
Form factors of two-hadron states from a covariant finite-volume formalism Baroni, Alessandro; Briceño, Raúl A.; Hansen, Maxwell T. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034511	journal	August 2019
Three-particle systems with resonant subprocesses in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014516	journal	January 2019
Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics Wagman, Michael L.; Winter, Frank; Chang, Emmanuel Physical Review D, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevD.96.114510	journal	December 2017
Two particle states and the S -matrix elements in multi-channel scattering He, Song; Feng, Xu; Liu, Chuan Journal of High Energy Physics, Vol. 2005, Issue 07 https://doi.org/10.1088/1126-6708/2005/07/011	journal	July 2005
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD Moir, Graham; Peardon, Michael; Ryan, Sinéad M. Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)011	journal	October 2016
Matrix elements of unstable states Bernard, V.; Hoja, D.; Meißner, U. -G. Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)023	journal	September 2012
Light hadron masses from lattice QCD Fodor, Zoltan; Hoelbling, Christian Reviews of Modern Physics, Vol. 84, Issue 2 https://doi.org/10.1103/RevModPhys.84.449	journal	April 2012
Erratum: Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.099902	journal	November 2014
Three-body unitarity in the finite volume Mai, M.; Döring, M. The European Physical Journal A, Vol. 53, Issue 12 https://doi.org/10.1140/epja/i2017-12440-1	journal	December 2017
Effects of finite volume on the $K_{L} - K_{S}$ mass difference Christ, N. H.; Feng, X.; Martinelli, G. Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114510	journal	June 2015
Two nucleon systems at $m_{π} \sim 450 MeV$ from lattice QCD Orginos, Kostas; Parreño, Assumpta; Savage, Martin J. Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.114512	journal	December 2015
I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD Bulava, John; Fahy, Brendan; Hörz, Ben Nuclear Physics B, Vol. 910 https://doi.org/10.1016/j.nuclphysb.2016.07.024	journal	September 2016
Isoscalar $π π$ Scattering and the $σ$ Meson Resonance from QCD Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/PhysRevLett.118.022002	journal	January 2017
Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114505	journal	December 2019
Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182001	journal	October 2014
Resonances in coupled $π K, η K$ scattering from lattice QCD Wilson, David J.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054008	journal	March 2015
Finite volume corrections to the two-particle decay of states with nonzero momentum Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi Physical Review D, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevD.72.114506	journal	December 2005
Scattering processes and resonances from lattice QCD Briceño, Raúl A.; Dudek, Jozef J.; Young, Ross D. Reviews of Modern Physics, Vol. 90, Issue 2 https://doi.org/10.1103/RevModPhys.90.025001	journal	April 2018
Vector particle scattering on the lattice Romero-López, F.; Rusetsky, A.; Urbach, C. Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014503	journal	July 2018
Lattice QCD and Three-Particle Decays of Resonances Hansen, Maxwell T.; Sharpe, Stephen R. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101918-023723	journal	October 2019
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD Hörz, Ben; Hanlon, Andrew Physical Review Letters, Vol. 123, Issue 14 https://doi.org/10.1103/PhysRevLett.123.142002	journal	October 2019
Perturbative results for two- and three-particle threshold energies in finite volume Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevD.93.014506	journal	January 2016
Two-nucleon higher partial-wave scattering from lattice QCD Berkowitz, Evan; Kurth, Thorsten; Nicholson, Amy Physics Letters B, Vol. 765 https://doi.org/10.1016/j.physletb.2016.12.024	journal	February 2017
Extraction of isoscalar $π π$ phase shifts from lattice QCD Guo, D.; Alexandru, A.; Molina, R. Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014507	journal	July 2018
Three-body unitarity versus finite-volume $π^{+} π^{+} π^{+}$ spectrum from lattice QCD Mai, M.; Döring, M.; Culver, C. Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.054510	journal	March 2020
Elastic $I = 3 / 2$ $p$ -wave nucleon-pion scattering amplitude and the $Δ (1232)$ resonance from $N_{f} = 2 + 1$ lattice QCD Andersen, Christian Walther; Bulava, John; Hörz, Ben Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014506	journal	January 2018
Numerical study of the relativistic three-body quantization condition in the isotropic approximation Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014506	journal	July 2018
Implementing the three-particle quantization condition including higher partial waves Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R. Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)106	journal	March 2019
Two nucleons on a lattice Beane, S. R.; Bedaque, P. F.; Parreño, A. Physics Letters B, Vol. 585, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.02.007	journal	April 2004
Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevD.97.054513	journal	March 2018
$I = 2$ $π π$ $S$ -wave scattering phase shift from lattice QCD Beane, S. R.; Chang, E.; Detmold, W. Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034505	journal	February 2012
Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.094506	journal	May 2016
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Phase shift of isospin-2 $π π$ scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.071504	journal	April 2011
Energy of $n$ identical bosons in a finite volume at $O (L^{- 7})$ Detmold, William; Savage, Martin J. Physical Review D, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevD.77.057502	journal	March 2008
Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD Brett, Ruairí; Bulava, John; Fallica, Jacob Nuclear Physics B, Vol. 932 https://doi.org/10.1016/j.nuclphysb.2018.05.008	journal	July 2018
Threshold expansion of the three-particle quantization condition Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.096006	journal	May 2016
Quark-Mass Dependence of Elastic $π K$ Scattering from QCD Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J. Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.042002	journal	July 2019
Resonant $π^{+} γ \to π^{+} π^{0}$ Amplitude from Quantum Chromodynamics Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review Letters, Vol. 115, Issue 24 https://doi.org/10.1103/PhysRevLett.115.242001	journal	December 2015
Two-nucleon systems in a finite volume. II. ${}^{3}S_{1} − {}^{3}D_{1}$ coupled channels and the deuteron Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C. Physical Review D, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevD.88.114507	journal	December 2013
$π π \to π γ^{}$ amplitude and the resonant $ρ \to π γ^{}$ transition from lattice QCD Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114508	journal	June 2016
Finite-volume effects for two-hadron states in moving frames Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R. Nuclear Physics B, Vol. 727, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.08.029	journal	October 2005
Cross-channel study of pion scattering from lattice QCD Mai, M.; Culver, C.; Alexandru, A. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114514	journal	December 2019
$K \to π π$ $Δ I = 3 / 2$ decay amplitude in the continuum limit Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074502	journal	April 2015
Two-Flavor Simulations of $ρ (770)$ and the Role of the $K \bar{K}$ Channel Hu, B.; Molina, R.; Döring, M. Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.122001	journal	September 2016
Finite-volume matrix elements in multiboson states Detmold, William; Flynn, Michael Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074509	journal	April 2015

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