Nuclear Physics from Lattice QCD

Abstract

We review recent progress toward establishing lattice Quantum Chromodynamics as a predictive calculational framework for nuclear physics. A survey of the current techniques that are used to extract low-energy hadronic scattering amplitudes and interactions is followed by a review of recent two-body and few-body calculations by the NPLQCD collaboration and others. An outline of the nuclear physics that is expected to be accomplished with Lattice QCD in the next decade, along with estimates of the required computational resources, is presented.

56 pages, 39 pdf figures. Final published version

References in corpus (40)

• Nuclear Force from Lattice QCD
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Evidence for a Bound H-dibaryon from Lattice QCD
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Hyperon-nucleon force from lattice QCD
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Observations on staggered fermions at non-zero lattice spacing
• Lattice QCD determination of patterns of excited baryon states
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• The phase-shift of isospin-2 pi-pi scattering from lattice QCD
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• BB Potentials in Quenched Lattice QCD
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• Comment on "Chiral anomalies and rooted staggered fermions"
• Effective field theories for QCD with rooted staggered fermions
• Signatures of S-wave bound-state formation in finite volume
• Lattice fermions with complex mass
• Hadronic Interactions from Lattice QCD
• Meson-baryon scattering lengths in HB$\chi$PT
• Lattice QCD study of mixed systems of pions and kaons
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• Strangeness fluctuations and MEMO production at FAIR
• Symmetries and exponential error reduction in Yang-Mills theories on the lattice
• Decuplet contribution to the meson-baryon scattering lengths
• Color Screening by Pions
• Radial and orbital excitations of static-light mesons
• Lattice Regularization and Symmetries

Cited by in corpus (17)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-body forces: From cold atoms to nuclei
• Evidence for a Bound H-dibaryon from Lattice QCD
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Pionic deuterium
• Lattice QCD study of mixed systems of pions and kaons
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Nuclear Reactions from Lattice QCD
• Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
• Nuclear force and the EMC effect
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• Formal Developments for Lattice QCD with Applications to Hadronic Systems