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Title: Scattering processes and resonances from lattice QCD

Abstract

The vast majority of hadrons observed in nature are not stable under the strong interaction; rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron resonances offers a window into the workings of quantum chromodynamics (QCD) in the low-energy nonperturbative region, and in addition many probes of the limits of the electroweak sector of the standard model consider processes which feature hadron resonances. From a theoretical standpoint, this is a challenging field: the same dynamics that binds quarks and gluons into hadron resonances also controls their decay into lighter hadrons, so a complete approach to QCD is required. Presently, lattice QCD is the only available tool that provides the required nonperturbative evaluation of hadron observables. This paper reviews progress in the study of few-hadron reactions in which resonances and bound states appear using lattice QCD techniques. The leading approach is described that takes advantage of the periodic finite spatial volume used in lattice QCD calculations to extract scattering amplitudes from the discrete spectrum of QCD eigenstates in a box. An explanation is given of how from explicit lattice QCD calculations one can rigorously garner information about a variety ofmore » resonance properties, including their masses, widths, decay couplings, and form factors. Finally, the challenges which currently limit the field are discussed along with the steps being taken to resolve them.« less

Authors:
 [1];  [2];  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
  3. Univ. of Adelaide, SA (Australia). Special Research Center for the Subatomic Structure of Matter (CSSM). Dept. of Physics
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States); Univ. of Adelaide, SA (Australia)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); Australian Research Council
OSTI Identifier:
1433802
Alternate Identifier(s):
OSTI ID: 1433573
Report Number(s):
JLAB-THY-17-2495; DOE/OR/23177-4283; arXiv:1706.06223
Journal ID: ISSN 0034-6861; TRN: US1802353
Grant/Contract Number:  
AC05-06OR23177; SC0016952; CE110001004; FT120100821; DP14010306
Resource Type:
Accepted Manuscript
Journal Name:
Reviews of Modern Physics
Additional Journal Information:
Journal Volume: 90; Journal Issue: 2; Journal ID: ISSN 0034-6861
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; chiral perturbation theory; lattice QCD; scattering amplitudes

Citation Formats

Briceno, Raul A., Dudek, Jozef J., and Young, Ross D. Scattering processes and resonances from lattice QCD. United States: N. p., 2018. Web. doi:10.1103/RevModPhys.90.025001.
Briceno, Raul A., Dudek, Jozef J., & Young, Ross D. Scattering processes and resonances from lattice QCD. United States. doi:10.1103/RevModPhys.90.025001.
Briceno, Raul A., Dudek, Jozef J., and Young, Ross D. Wed . "Scattering processes and resonances from lattice QCD". United States. doi:10.1103/RevModPhys.90.025001. https://www.osti.gov/servlets/purl/1433802.
@article{osti_1433802,
title = {Scattering processes and resonances from lattice QCD},
author = {Briceno, Raul A. and Dudek, Jozef J. and Young, Ross D.},
abstractNote = {The vast majority of hadrons observed in nature are not stable under the strong interaction; rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron resonances offers a window into the workings of quantum chromodynamics (QCD) in the low-energy nonperturbative region, and in addition many probes of the limits of the electroweak sector of the standard model consider processes which feature hadron resonances. From a theoretical standpoint, this is a challenging field: the same dynamics that binds quarks and gluons into hadron resonances also controls their decay into lighter hadrons, so a complete approach to QCD is required. Presently, lattice QCD is the only available tool that provides the required nonperturbative evaluation of hadron observables. This paper reviews progress in the study of few-hadron reactions in which resonances and bound states appear using lattice QCD techniques. The leading approach is described that takes advantage of the periodic finite spatial volume used in lattice QCD calculations to extract scattering amplitudes from the discrete spectrum of QCD eigenstates in a box. An explanation is given of how from explicit lattice QCD calculations one can rigorously garner information about a variety of resonance properties, including their masses, widths, decay couplings, and form factors. Finally, the challenges which currently limit the field are discussed along with the steps being taken to resolve them.},
doi = {10.1103/RevModPhys.90.025001},
journal = {Reviews of Modern Physics},
number = 2,
volume = 90,
place = {United States},
year = {2018},
month = {4}
}

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Works referenced in this record:

Resonances in an external field: the 1+1 dimensional case
journal, April 2010

  • Hoja, D.; Meißner, U. -G.; Rusetsky, A.
  • Journal of High Energy Physics, Vol. 2010, Issue 4
  • DOI: 10.1007/JHEP04(2010)050

Meson dynamics beyond the quark model: Study of final-state interactions
journal, March 1987


Spectrum of Three-Body Bound States in a Finite Volume
journal, March 2015


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

Precise determination of resonance pole parameters through Padé approximants
journal, November 2014

  • Masjuan, Pere; Ruiz de Elvira, Jacobo; Sanz-Cillero, Juan José
  • Physical Review D, Vol. 90, Issue 9
  • DOI: 10.1103/PhysRevD.90.097901

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


Topological phases for bound states moving in a finite volume
journal, November 2011


Low-energy scattering of the ( D D ¯ * ) ± system and the resonance-like structure Z c ( 3900 )
journal, May 2014


High-precision calculation of the strange nucleon electromagnetic form factors
journal, August 2015


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


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

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


Applying the relativistic quantization condition to a three-particle bound state in a periodic box
journal, February 2017


Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction
journal, February 1957


Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
journal, February 2015


Structure and flow of the nucleon eigenstates in lattice QCD
journal, May 2013


QCD spectrum with three quark flavors
journal, August 2001


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


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


Decuplet baryon masses in covariant baryon chiral perturbation theory
journal, March 2014


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


Lattice QCD Evidence that the Λ ( 1405 ) Resonance is an Antikaon-Nucleon Molecule
journal, April 2015


Nucleon electromagnetic form factors in twisted mass lattice QCD
journal, May 2011


Pole structure of the Λ ( 1405 ) in a recent QCD simulation
journal, September 2016


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


Nucleon electromagnetic form factors in two-flavor QCD
journal, September 2015


Meson-meson scattering within one-loop chiral perturbation theory and its unitarization
journal, January 2002


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


Padé approximants and resonance poles
journal, October 2013


Global aspects of current algebra
journal, August 1983


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


Testing the threshold expansion for three-particle energies at fourth order in ϕ 4 theory
journal, September 2017


Nonperturbative Approach to Effective Chiral Lagrangians and Meson Interactions
journal, April 1998


Baryon masses from lattice QCD: Beyond the perturbative chiral regime
journal, February 2000


The optical potential on the lattice
journal, June 2016

  • Agadjanov, Dimitri; Döring, Michael; Mai, Maxim
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)043

Gluon contributions to the pion mass and light-cone-momentum fraction
journal, February 2008


Chiral study of the a 0 ( 980 ) resonance and π η scattering phase shifts in light of a recent lattice simulation
journal, March 2017


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


Twisted valence quarks and hadron interactions on the lattice
journal, June 2005


Twisted boundary conditions in lattice simulations
journal, March 2005


Excited state baryon spectroscopy from lattice QCD
journal, October 2011


Dirac and Pauli form factors from lattice QCD
journal, October 2011


Effects of finite volume on the K L K S mass difference
journal, June 2015


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


Meson-meson interactions in a nonperturbative chiral approach
journal, February 1999


Confinement of quarks
journal, October 1974


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


Evidence for X ( 3872 ) from D D * Scattering on the Lattice
journal, November 2013


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


A lattice study of the glue in the nucleon
journal, August 2012


Two-nucleon higher partial-wave scattering from lattice QCD
journal, February 2017


Gluonic transversity from lattice QCD
journal, July 2016


Chiral analysis of quenched baryon masses
journal, November 2002


Electroweak matrix elements in the two-nucleon sector from lattice QCD
journal, October 2004


Grand Canonical Ensembles, Multiparticle Wave Functions, Scattering Data, and Lattice Field Theories
journal, December 2015


Inverse amplitude method in chiral perturbation theory
journal, September 1997


Hybrid baryons in QCD
journal, March 2012


Applying twisted boundary conditions for few-body nuclear systems
journal, May 2016


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


Adjoint sources in lattice gauge theory
journal, September 1985


Excited meson radiative transitions from lattice QCD using variationally optimized operators
journal, June 2015


Two-nucleon systems in a finite volume. II. S 1 3 D 1 3 coupled channels and the deuteron
journal, December 2013


Hadron scattering lengths in lattice QCD
journal, September 1995


Isoscalar meson spectroscopy from lattice QCD
journal, June 2011


Search for low-lying lattice QCD eigenstates in the Roper regime
journal, April 2017


I = 2 pion scattering length with the Wilson fermion
journal, October 2002


Generalized Lüscher’s formula in baryon-meson and baryon-baryon scattering with twisted boundary condition
journal, January 2015


Bound states on the lattice with partially twisted boundary conditions
journal, January 2015

  • Agadjanov, D.; Guo, F. -K.; Ríos, G.
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)118

Finite-volume matrix elements in multiboson states
journal, April 2015


Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of the D s 0 * ( 2317 )
journal, January 2013


Generalized Lüscher formula in multichannel baryon-meson scattering
journal, January 2013


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


ππ scattering
journal, June 2001


Finite-size and quark mass effects on the QCD spectrum with two flavors
journal, November 1993


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


n -boson energies at finite volume and three-boson interactions
journal, October 2007


A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009


Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
journal, June 2011


K to π π decay amplitudes from lattice QCD
journal, December 2011


Improving the volume dependence of two-body binding energies calculated with lattice QCD
journal, December 2011


Strategies for an accurate determination of the X(3872) energy from QCD lattice simulations
journal, January 2014


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


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


Two-nucleon systems in a finite volume: Quantization conditions
journal, August 2013


Excited state nucleon spectrum with two flavors of dynamical fermions
journal, February 2009


Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD
journal, October 2016


Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula
journal, August 2017


Search for <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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msubsup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>3900</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> in the <mml:math altimg="si2.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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msup><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> channel on the lattice
journal, November 2013


Infrared regularization for spin-1 fields
journal, March 2005


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


Unified chiral analysis of the vector meson spectrum from lattice QCD
journal, May 2006

  • Armour, W.; Allton, C. R.; Leinweber, D. B.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 7
  • DOI: 10.1088/0954-3899/32/7/007

The ϱ radiative decay width: A measurement at 200 GeV
journal, January 1987


Volume Dependence of Bound States with Angular Momentum
journal, September 2011


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

Three particles in a finite volume
journal, May 2012


Nature of the f 0 ( 600 ) Scalar Meson from its N c Dependence at Two Loops in Unitarized Chiral Perturbation Theory
journal, December 2006


On the nature of 0+ mesons
journal, July 1976


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


Charmonium excited state spectrum in lattice QCD
journal, February 2008


Parton Physics on a Euclidean Lattice
journal, June 2013


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


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

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

Heavy-quark QCD exotica
journal, March 2017

  • Lebed, Richard F.; Mitchell, Ryan E.; Swanson, Eric S.
  • Progress in Particle and Nuclear Physics, Vol. 93
  • DOI: 10.1016/j.ppnp.2016.11.003

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


Ab initio calculation of the neutron-proton mass difference
journal, March 2015


Consequences of anomalous ward identities
journal, November 1971


Practical all-to-all propagators for lattice QCD
journal, November 2005

  • Foley, Justin; Juge, K. Jimmy; Ó Cais, Alan
  • Computer Physics Communications, Vol. 172, Issue 3
  • DOI: 10.1016/j.cpc.2005.06.008

Study of quark mass dependence of binding energy for light nuclei in 2 + 1 flavor lattice QCD
journal, July 2015


Scattering lengths for two pseudoscalar meson systems
journal, March 2014


π + photoproduction on the proton for photon energies from 0.725 to 2.875 GeV
journal, June 2009


Chiral and continuum extrapolation of partially-quenched lattice results
journal, November 2005


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


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


A framework for the calculation of 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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math> transition form factors on the lattice
journal, September 2014


K π scattering for isospin 1 2 and 3 2 in lattice QCD
journal, September 2012


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

Lattice quantum chromodynamical approach to nuclear physics
journal, January 2012

  • Aoki, S.; Doi, T.; Hatsuda, T.
  • Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
  • DOI: 10.1093/ptep/pts010

Nucleon and Roper electromagnetic elastic and transition form factors
journal, February 2012


Structure of the Λ ( 1405 ) from Hamiltonian effective field theory
journal, January 2017


Two nucleons on a lattice
journal, April 2004


Chiral behavior of the rho meson in lattice QCD
journal, October 2001


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


Lattice QCD study of the K * ( 892 ) meson decay width
journal, November 2012


Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD
journal, November 2014


Finite volume effects in pion-kaon scattering and reconstruction of the κ(800) resonance
journal, January 2012


The hidden-charm pentaquark and tetraquark states
journal, June 2016


Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
journal, January 2010

  • Aoki, S.; Hatsuda, T.; Ishii, N.
  • Progress of Theoretical Physics, Vol. 123, Issue 1
  • DOI: 10.1143/PTP.123.89

Electroexcitation of the Roper resonance for 1.7 < Q 2 < 4.5 GeV 2 in e p en π +
journal, October 2008


Emerging Understanding of the Δ I = 1 / 2 Rule from Lattice QCD
journal, April 2013


Non-relativistic bound states in a finite volume
journal, June 2012


Review of Particle Physics
journal, October 2016


Towards a data-driven analysis of hadronic light-by-light scattering
journal, November 2014


Light hadron spectroscopy with O ( a ) improved dynamical fermions
journal, July 1999


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


Timelike pion form factor in lattice QCD
journal, March 2015


Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001

  • Lellouch, Laurent; Lüscher, Martin
  • Communications in Mathematical Physics, Vol. 219, Issue 1
  • DOI: 10.1007/s002200100410

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


Measurement of the resonance parameters and radiative width of the ρ +
journal, June 1986


Relativistic, model-independent, multichannel 2 2 transition amplitudes in a finite volume
journal, July 2016


Two Particle States in a box and the S-Matrix in Multi-Channel Scattering
journal, February 2006


I=2 pion Scattering Length with Improved Actions on Anisotropic Lattices
journal, December 2004

  • Du, Xining; Meng, Guangwei; Miao, Chuan
  • International Journal of Modern Physics A, Vol. 19, Issue 32
  • DOI: 10.1142/S0217751X04019573

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


Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)]
journal, August 2016


Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for multiparticles in quantum field theories
journal, July 2013


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


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


Precise Determination of the f 0 ( 600 ) and f 0 ( 980 ) Pole Parameters from a Dispersive Data Analysis
journal, August 2011


Lattice QCD and the Timelike Pion Form Factor
journal, August 2011


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


Two-baryon systems with twisted boundary conditions
journal, April 2014


K ( π π ) I = 2 Decay Amplitude from Lattice QCD
journal, April 2012


Multichannel 0 2 and 1 2 transition amplitudes for arbitrary spin particles in a finite volume
journal, October 2015


B s π + scattering and search for X ( 5568 ) with lattice QCD
journal, October 2016


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


Unquenching the ρ meson
journal, April 1994


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


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

Matrix elements of unstable states
journal, September 2012

  • Bernard, V.; Hoja, D.; Meißner, U. -G.
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)023

D s mesons with D K and D * K scattering near threshold
journal, August 2014


Two nucleon systems at m π 450 MeV from lattice QCD
journal, December 2015


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


Pion Scattering Lengths
journal, September 1966


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


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


Excited and exotic charmonium spectroscopy from lattice QCD
journal, July 2012

  • Liu, Liuming; Moir, Graham; Peardon, Michael
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)126

The mass of the Δ resonance in a finite volume: fourth-order calculation
journal, June 2009


Perturbative results for two- and three-particle threshold energies in finite volume
journal, January 2016


Lattice QCD study of four-quark components of the isosinglet scalar mesons: Significance of disconnected diagrams
journal, May 2015


Lattice baryon spectroscopy with multiparticle interpolators
journal, May 2015


Coupled-channel analysis of the πη and KK̄ systems near KK̄ threshold
journal, July 1976


An overview of XYZ new particles
journal, May 2014


D π scattering and D meson resonances from lattice QCD
journal, February 2013


Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry
journal, February 2013


Rho resonance parameters from lattice QCD
journal, August 2016


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


Fate of the Tetraquark Candidate Z c ( 3900 ) from Lattice QCD
journal, December 2016


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


Nuclear Force from Lattice QCD
journal, July 2007


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


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


Light hadron spectroscopy with two flavors of dynamical quarks on the lattice
journal, February 2002


Resonance properties from the finite-volume energy spectrum
journal, August 2008


Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector
journal, November 2011


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

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016


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


Transition from Discrete to Continuous Spectra
journal, September 1956


The nucleon and Δ-resonance masses in relativistic chiral effective-field theory
journal, April 2006


Coupled-channel scattering on a torus
journal, July 2013


Partial twisting for scalar mesons
journal, January 2014

  • Agadjanov, Dimitri; Meißner, Ulf-G.; Rusetsky, Akaki
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)103

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


Completing the Picture of the Roper Resonance
journal, October 2015


Electromagnetic Splittings and Light Quark Masses in Lattice QCD
journal, May 1996


The B → K ⁎ form factors on the lattice
journal, September 2016


Dispersive approach to hadronic light-by-light scattering
journal, September 2014

  • Colangelo, G.; Hoferichter, M.; Procura, M.
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)091

Chiral extrapolation of pion-pion scattering phase shifts within standard and unitarized Chiral Perturbation Theory
journal, May 2011


Insight into the scalar mesons from a lattice calculation
journal, July 2000


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


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


The pole structure of the unitary, crossing symmetric low energy ππ scattering amplitudes
journal, February 2005


Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD
journal, December 2009


Hamiltonian Effective Field Theory Study of the N * ( 1535 ) Resonance in Lattice QCD
journal, February 2016


Deuteron and exotic two-body bound states from lattice QCD
journal, March 2012


Leading isospin breaking effects on the lattice
journal, June 2013


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


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


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


Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction
journal, November 2009


1 + 1 + 1 flavor QCD + QED simulation at the physical point
journal, August 2012


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

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


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


Quark-Mass Dependence of the ρ and σ Mesons from Dispersion Relations and Chiral Perturbation Theory
journal, April 2008


Hadron scattering in an asymmetric box*
journal, June 2007

  • (Clqcd), China Lattice QCD Collaboration; Li, Xin; Chen, Ying
  • Journal of High Energy Physics, Vol. 2007, Issue 06
  • DOI: 10.1088/1126-6708/2007/06/053

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


Hamiltonian effective field theory study of the N * ( 1440 ) resonance in lattice QCD
journal, February 2017


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


Lattice determination of the K ( π π ) I = 2 decay amplitude A 2
journal, October 2012


Quark mass dependence of the pion vector form factor
journal, July 2009


Electroexcitation of nucleon resonances
journal, January 2012


Mass and Width of the Lowest Resonance in QCD
journal, April 2006


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


Vector and scalar charmonium resonances with lattice QCD
journal, September 2015

  • Lang, C. B.; Leskovec, Luka; Mohler, Daniel
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)089

Helium nuclei, deuteron, and dineutron in 2 + 1 flavor lattice QCD
journal, October 2012


Comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data
journal, October 2012


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


The lightest hybrid meson supermultiplet in QCD
journal, October 2011


Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017


Study of the Z c + channel using lattice QCD
journal, January 2015


Roy equation analysis of ππ scattering
journal, November 2001


Electromagnetic mass splittings of the low lying hadrons and quark masses from 2 + 1 flavor lattice QCD + QED
journal, November 2010


Lattice study of light scalar tetraquarks with I = 0 , 2 , 1 / 2 , 3 / 2 : Are σ and κ tetraquarks?
journal, November 2010


Resonance masses from Monte Carlo simulations (with emphasis on the ρ meson)
journal, April 1991


Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
journal, September 2016


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


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

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


Erratum: Light hadron spectroscopy with two flavors of dynamical quarks on the lattice [Phys. Rev. D 65 , 054505 (2002)]
journal, March 2003


Searching for the rules that govern hadron construction
journal, June 2016

  • Shepherd, Matthew R.; Dudek, Jozef J.; Mitchell, Ryan E.
  • Nature, Vol. 534, Issue 7608
  • DOI: 10.1038/nature18011

Isolating the Λ ( 1405 ) in Lattice QCD
journal, March 2012


Threshold expansion of the three-particle quantization condition
journal, May 2016


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


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


Resonance scattering phase shifts in a 2d lattice model
journal, February 1993


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


Controlling excited-state contamination in nucleon matrix elements
journal, June 2016


The Δ-resonance in a finite volume
journal, January 2008


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


Hyperon-Nucleon Interactions from Quantum Chromodynamics and the Composition of Dense Nuclear Matter
journal, October 2012


Chiral extrapolation of the σ and ρ mesons from dispersion relations and Chiral Perturbation Theory
conference, January 2008

  • Ríos, G.; Nicola, A. Gómez; Hanhart, C.
  • SCADRON70: Workshop on Scalar Mesons and Related Topics Honoring Michael Scadron's 70th Birthday, AIP Conference Proceedings
  • DOI: 10.1063/1.2973511

    Works referencing / citing this record:

    Velocity Dependence from Resonant Self-Interacting Dark Matter
    journal, February 2019


    Velocity Dependence from Resonant Self-Interacting Dark Matter
    journal, February 2019


    Towards the understanding of Z c ( 3900 ) from lattice QCD
    journal, March 2020


    Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization
    journal, March 2020