Scattering processes and resonances from lattice QCD

Briceno, Raul A.; Dudek, Jozef J.; Young, Ross D.

doi:10.1103/RevModPhys.90.025001

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 »« less

Authors:

Briceno, Raul A. ^[1]; Dudek, Jozef J. ^[2]; Young, Ross D. ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
Univ. of Adelaide, SA (Australia). Special Research Center for the Subatomic Structure of Matter (CSSM). Dept. of Physics

Publication Date:: Wed Apr 18 00:00:00 EDT 2018

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); 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.

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                    Briceno, Raul A., Dudek, Jozef J., & Young, Ross D. Scattering processes and resonances from lattice QCD.  United States.  https://doi.org/10.1103/RevModPhys.90.025001

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                    Briceno, Raul A., Dudek, Jozef J., and Young, Ross D. Wed .  
"Scattering processes and resonances from lattice QCD".  United States.  https://doi.org/10.1103/RevModPhys.90.025001.  https://www.osti.gov/servlets/purl/1433802.

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@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         = {Wed Apr 18 00:00:00 EDT 2018},

  month        = {Wed Apr 18 00:00:00 EDT 2018}

}

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Chiral extrapolations and the covariant small scale expansion☆☆This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contract number RII3-CT-2004-506078. Work supported in part by DFG (SFB/TR 16, “Subnuclear Structure of Matter”) and BMBF.
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text, January 2020

Erben, Felix; Green, Jeremy; Mohler, Daniel
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2020-01787

Three-body repulsive forces among identical bosons in one dimension
journal, July 2019

Valiente, M.
Physical Review A, Vol. 100, Issue 1
DOI: 10.1103/physreva.100.013614

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
journal, December 2019

Bovermann, Lukas; Epelbaum, Evgeny; Krebs, Hermann
Physical Review C, Vol. 100, Issue 6
DOI: 10.1103/physrevc.100.064001

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
text, January 2018

Woss, Antoni; Thomas, Christopher; Dudek, Jj
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.26944

What is the right formalism to search for resonances?
journal, March 2018

Mikhasenko, M.; Pilloni, A.; Nys, J.
The European Physical Journal C, Vol. 78, Issue 3
DOI: 10.1140/epjc/s10052-018-5670-y

Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation
journal, January 2019

Jackura, A.; Fernández-Ramírez, C.; Mathieu, V.
The European Physical Journal C, Vol. 79, Issue 1
DOI: 10.1140/epjc/s10052-019-6566-1

Three-body spectrum in a finite volume: the role of cubic symmetry
text, January 2018

Döring, M.; Hammer, H. -W.; Mai, M.
arXiv
DOI: 10.48550/arxiv.1802.03362

Numerical study of the relativistic three-body quantization condition in the isotropic approximation
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Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
arXiv
DOI: 10.48550/arxiv.1803.04169

Masses of ground-state mesons and baryons, including those with heavy quarks
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Yin, Pei-Lin; Chen, Chen; Krein, Gastao
arXiv
DOI: 10.48550/arxiv.1903.00160

Three-body scattering: Ladders and Resonances
text, January 2019

Mikhasenko, M.; Wunderlich, Y.; Jackura, A.
arXiv
DOI: 10.48550/arxiv.1904.11894

Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
text, January 2019

Erben, Felix; Green, Jeremy R.; Mohler, Daniel
arXiv
DOI: 10.48550/arxiv.1910.01083

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Similar Records

Title: Scattering processes and resonances from lattice QCD

Abstract

Citation Formats

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

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

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

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

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

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

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

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

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

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions journal, December 2007

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

Lattice Methods for Quantum Chromodynamics book, September 2006

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

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

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

Lüscher’s finite size method with twisted boundary conditions: An application to the J / ψ − ϕ system to search for a narrow resonance 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

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

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

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

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

Low-energy scattering of the $(D {\bar{D}}^{*})^{\pm}$ 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

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 $π π$ , $K \bar{K}$ 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 $1 \to 2$ 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

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

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

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

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
journal, December 2007

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

Lattice Methods for Quantum Chromodynamics
book, September 2006

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. ${}^{3}S_{1} − {}^{3}D_{1}$ 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

$I = 2$ 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

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

Lüscher’s finite size method with twisted boundary conditions: An application to the $J / ψ − ϕ$ system to search for a narrow resonance
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