Hadronic Interactions from Lattice QCD

Abstract

We present an overview of recent efforts to calculate the interactions among hadrons using lattice QCD. After outlining the techniques that are used to extract scattering parameters, we detail the latest calculations of meson-meson scattering, baryon-baryon scattering and multi-meson systems obtained with domain-wall valence quarks on the staggered MILC lattices by the NPLQCD collaboration. Estimates of the computational resources required to achieve precision results in the baryon sector are presented.

60 pages. Review prepared for the International Journal of Modern Physics C

References in corpus (114)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• ππscattering
• Chiral Fermions from Lattice Boundaries
• A New Expansion for Nucleon-Nucleon Interactions
• A construction of lattice chiral gauge theories
• Two-Nucleon Systems from Effective Field Theory
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Axial symmetries in lattice QCD with Kaplan fermions
• The Two-Nucleon Potential from Chiral Lagrangians
• Nuclear Force from Lattice QCD
• Mass and width of the lowest resonance in QCD
• The QCD spectrum with three quark flavors
• Roy equation analysis of pi pi scattering
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Variants of fattening and flavor symmetry restoration
• Practical all-to-all propagators for lattice QCD
• Elastic $\pi \pi$ scattering to two loops
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• Hyperon-nucleon interactions - a chiral effective field theory approach
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Two Nucleons on a Lattice
• Lattice QCD on Small Computers
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• The Juelich hyperon-nucleon model revisited
• Hadron Scattering Lengths in Lattice QCD
• Nuclear forces in the chiral limit
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Testing improved actions for dynamical Kogut-Susskind quarks
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• A new measurement of K+(e4) decay and the s-wave pi-pi-scattering length a00
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• The nucleon axial charge in full lattice QCD
• Evidence for a narrow resonance at 1530 MeV/c2 in the K0 p - system of the reaction pp --> Sigma+ K0 p from the COSY-TOF experiment
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Chiral perturbation theory at O(a^2) for lattice QCD
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• The Quark-Mass Dependence of Two-Nucleon Systems
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Virtual Photons in Low Energy pi-pi Scattering
• Variation of Fundamental Couplings and Nuclear Forces
• Staggered eigenvalue mimicry
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• High statistics measurement of Ke4 decay properties
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Exploring Hyperons and Hypernuclei with Lattice QCD
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Multidimensional extension of the generalized Chowla-Selberg formula
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scaling tests with dynamical overlap and rooted staggered fermions
• Simulations with different lattice Dirac operators for valence and sea quarks
• I=2 Pion Scattering Length from Two-Pion Wave Functions
• Total Cross Section of the Reaction pp \to pK^+ΛClose to Threshold
• Observations on staggered fermions at non-zero lattice spacing
• Comparison of Lambda and Sigma(0) Threshold Production in Proton-Proton Collisions
• $I=2$ pion scattering amplitude with Wilson fermions
• Improving the Chiral Properties of Lattice Fermions
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Hadronic physics with domain-wall valence and improved staggered sea quarks
• Is J/psi-Nucleon Scattering Dominated by the Gluonic van der Waals Interaction?
• Improved staggered quark actions with reduced flavour symmetry violations for lattice QCD
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory
• BB Potentials in Quenched Lattice QCD
• First lattice study of low-energy charmonium-hadron interaction
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Three-Pion Hanbury-Brown-Twiss Correlations in Relativistic Heavy-Ion Collisions from the STAR Experiment
• Two heavy-light mesons on a lattice
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
• How to extract the $\Lambda N$ scattering length from production reactions
• Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays
• Calculating the I=2 Pion Scattering Length Using Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• Comparison of Pion-Kaon Scattering in SU(3) Chiral Perturbation Theory and Dispersion Relations
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• Comment on "Chiral anomalies and rooted staggered fermions"
• I=2 Pion Scattering Phase Shift with Wilson Fermions
• Effective field theories for QCD with rooted staggered fermions
• Energy dependence of the Lambda/Sigma0 production cross section ratio in proton proton interactions
• The Hypertriton in Effective Field Theory
• Correlated $\pi \pi$ and $K\bar{K}$ exchange in the baryon-baryon interaction
• Signatures of S-wave bound-state formation in finite volume
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Lattice fermions with complex mass
• Hyperon Masses in Nuclear Matter
• Kaon B Parameter in Quenched QCD
• Neutral Kaon Interferometry in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Nucleon-Nucleon Interactions on the Lattice
• Quantum Opacity, the RHIC HBT Puzzle, and the Chiral Phase Transition
• I=2 Pion Scattering Length with the Wilson Fermion
• Hyperon-nucleon scattering and hyperon masses in the nuclear medium
• Isospin violation in low-energy charged pion-kaon scattering
• $\pi K$ sum rules and the SU(3) chiral expansion
• Three-Pion Interferometry Results from Central Pb+Pb Collisions at 158 A GeV/c
• One and two dimensional analysis of 3pi correlations measured in Pb+Pb interactions
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Exploring the pi+ pi+ interaction in lattice QCD
• Meson-Meson and Meson-Baryon Interactions in Lattice QCD
• A variational fit to the lattice energy of two heavy-light mesons
• Isospin odd pi K scattering length
• Polishing the Lens: I Pionic Final State Interactions and HBT Correlations- Distorted Wave Emission Function (DWEF) Formalism and Examples
• Electromagnetic Corrections to Pi Pi Scattering: Some Lessons for the Implementation of Meson Exchange Models
• Nuclear force in Lattice QCD
• Excitation Spectra in a Heavy-Light Meson-Meson System

Cited by in corpus (42)

• Modern Theory of Nuclear Forces
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Nuclear Physics from Lattice QCD
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Interactions between heavy mesons and Goldstone bosons from chiral dynamics
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Efimov States in Nuclear and Particle Physics
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Nuclear Physics from lattice QCD at strong coupling
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• The triton in a finite volume
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Three particles in a finite volume: The breakdown of spherical symmetry
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• On the modification of the Efimov spectrum in a finite cubic box
• Lattice methods for strongly interacting many-body systems
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Spin-Orbit Force from Lattice QCD
• A variational study of two-nucleon systems with lattice QCD
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Hadron interactions in lattice QCD
• Lüscher's finite size method with twisted boundary conditions: an application to $J/\psi$-$\varphi$ system to search for narrow resonance
• A Lattice Test of 1/N_c Baryon Mass Relations
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Tetraquarks, hadronic molecules, meson-meson scattering and disconnected contributions in lattice QCD
• Helium halo nuclei from low-momentum interactions
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Beyond universality in three-body recombination: an Effective Field Theory treatment
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Nuclear Physics from Lattice QCD
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Di-nucleons do not form bound states at heavy pion mass
• Nuclei and chiral dynamics