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

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• 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 construction of lattice chiral gauge theories
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• QCD at finite isospin density
• Nuclear Force from Lattice QCD
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• The QCD spectrum with three quark flavors
• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Soft-core baryon-baryon potentials for the complete baryon octet
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Variants of fattening and flavor symmetry restoration
• Lattice simulations for few- and many-body systems
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Twisted Boundary Conditions in Lattice Simulations
• Evidence for a Bound H-dibaryon from Lattice QCD
• Locality and exponential error reduction in numerical lattice gauge theory
• Two Nucleons on a Lattice
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• Hadron Scattering Lengths in Lattice QCD
• Nuclear forces in the chiral limit
• Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
• Testing improved actions for dynamical Kogut-Susskind quarks
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Highly excited and exotic meson spectrum from dynamical lattice QCD
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• The nucleon axial charge in full lattice QCD
• $K\to \pi \pi$ Decays in a Finite Volume
• A new approach to Ginsparg-Wilson fermions
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• The Quark-Mass Dependence of Two-Nucleon Systems
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Variation of Fundamental Couplings and Nuclear Forces
• Charmonium Spectrum from Quenched Anisotropic Lattice QCD
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Nuclear Physics from lattice QCD at strong coupling
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Hyperon-nucleon force from lattice QCD
• Heavy Quarks on Anisotropic Lattices: The Charmonium Spectrum
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Quenched spectroscopy with fixed-point and chirally improved fermions
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Electroweak Matrix Elements in the Two-Nucleon Sector from Lattice QCD
• Scaling tests with dynamical overlap and rooted staggered fermions
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• I=2 Pion Scattering Length from Two-Pion Wave Functions
• Twisted valence quarks and hadron interactions on the lattice
• Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering
• Observations on staggered fermions at non-zero lattice spacing
• Helium Nuclei in Quenched Lattice QCD
• Lattice QCD determination of patterns of excited baryon states
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• Hadronic physics with domain-wall valence and improved staggered sea quarks
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• High Statistics Analysis using Anisotropic Clover Lattices: (I) Single Hadron Correlation Functions
• 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
• On the modification of the Efimov spectrum in a finite cubic box
• 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})
• Finite volume corrections to pi-pi scattering
• An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
• Effective field theories for QCD with rooted staggered fermions
• Comment on "Chiral anomalies and rooted staggered fermions"
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-ϕ^4 theory
• Signatures of S-wave bound-state formation in finite volume
• Lattice fermions with complex mass
• Predictions for the strangeness S=-3 and -4 baryon-baryon interactions in chiral effective field theory
• Hadronic Interactions from Lattice QCD
• Universality of Mixed Action Extrapolation Formulae
• Lattice QCD study of mixed systems of pions and kaons
• Meson-baryon scattering lengths in HB$\chi$PT
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• Strangeness fluctuations and MEMO production at FAIR
• Tests of Improved Kogut-Susskind Fermion Actions
• Resonance Scattering Phase Shifts in a 2-d Lattice Model
• Symmetries and exponential error reduction in Yang-Mills theories on the lattice
• Multiple molecular dynamics time-scales in Hybrid Monte Carlo fermion simulations
• Strong $\Lambda \pi$ Phase Shifts for CP Violation in Weak $\Xi \to \Lambda \pi$ Decay
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Lattice study of K pi scattering in I = 3/2 and 1/2
• Decuplet contribution to the meson-baryon scattering lengths
• Radial and orbital excitations of static-light mesons
• Color Screening by Pions
• Improved flavor symmetry in Kogut-Susskind fermion actions
• Ground-state energy shift of n pions and m kaons in a finite volume
• Lattice Regularization and Symmetries
• Fermion Cluster Algorithms

Cited by in corpus (126)

• Equations of state for supernovae and compact stars
• FLAG Review 2019
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Nuclear effective field theory: status and perspectives
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• Three-body forces: From cold atoms to nuclei
• Quantum Simulation for High Energy Physics
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Neutron Stars and the Nuclear Equation of State
• Evidence for a Bound H-dibaryon from Lattice QCD
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Strangeness in Nuclei and Neutron Stars
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• 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
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Towards an ab initio covariant density functional for nuclear structure
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Spectrum of three-body bound states in a finite volume
• Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• The Magnetic Structure of Light Nuclei from Lattice QCD
• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
• Chiral dynamics of few- and many-nucleon systems
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Two-Nucleon Systems in a Finite Volume: (II) 3S1-3D1 Coupled Channels and the Deuteron
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Nuclear Equation of state for Compact Stars and Supernovae
• Three particles in a finite volume: The breakdown of spherical symmetry
• Machine learning action parameters in lattice quantum chromodynamics
• Pionic deuterium
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• Digitizing Gauge Fields: Lattice Monte Carlo Results for Future Quantum Computers
• Bound state techniques to solve the multiparticle scattering problem
• Lattice methods for strongly interacting many-body systems
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Two-Baryon Systems with Twisted Boundary Conditions
• Spin-Orbit Force from Lattice QCD
• Hyperons: the strange ingredients of the nuclear equation of state
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Signatures of few-body resonances in finite volume
• New Ideas in Constraining Nuclear Forces
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• A variational study of two-nucleon systems with lattice QCD
• The Theory of Parity Violation in Few-Nucleon Systems
• Volume Dependence of Bound States with Angular Momentum
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Non-relativistic bound states in a finite volume
• Lattice QCD study of mixed systems of pions and kaons
• Efimov Physics and Connections to Nuclear Physics
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• Hadron interactions in lattice QCD
• On the Statistics of Baryon Correlation Functions in Lattice QCD
• Low-energy p-d scattering and He-3 in pionless EFT
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Dark matter scattering cross section and dynamics in dark Yang-Mills theory
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Observing the Minkowskian dynamics of the pion on the null-plane
• Few-fermion systems in one dimension: Ground- and excited-state energies and contacts
• New effective interactions for hypernuclei in density dependent relativistic mean field model
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Nuclear Reactions from Lattice QCD
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Nuclear Physics from Lattice QCD
• Transverse momentum broadening from the lattice
• Testing ab initio nuclear structure in neutron-rich nuclei: lifetime measurements of second 2+ states in 16C and 20O
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Two-neutrino double-beta decay in pionless effective field theory from a Euclidean finite-volume correlation function
• Phase Unwrapping and One-Dimensional Sign Problems
• To which densities is spin-polarized neutron matter a weakly interacting Fermi gas?
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• Study of three-flavored heavy dibaryons using lattice QCD
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Lattice QCD input for nuclear structure and reactions
• Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice
• Zero energy scattering calculation in Euclidean space
• Prospects to study hyperon-nucleon interactions at BESIII
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• Phenomenological view on baryon-baryon potentials from lattice QCD simulations
• Nuclear force and the EMC effect
• First measurement of $\Lambda N$ inelastic scattering with $\Lambda$ from $e^{+}{e}^{-}\to J/\psi \to \Lambda \bar{\Lambda }$
• Efficient computation of matrix elements of generic Slater determinants
• Small Bits of Cold Dense Matter
• Thermal x-ray studies of neutron stars and the equation of state
• Automated label flows for excited states of correlation functions in lattice gauge theory
• Di-nucleons do not form bound states at heavy pion mass
• Regulator constraints for the perturbative renormalizability of attractive triplets
• Reexamining the perturbative renormalizability of the coupled triplets
• Inference of neutrino nature and Majorana CP phases from $0\nu \beta \beta$ decays with inverted mass ordering
• Calculation of expectation values of operators in the Complex Scaling method
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• Lattice methods and effective field theory
• Dense Hadronic Matter in Neutron Stars
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• Density of Saturated Nuclear Matter at Large $N_c$ and Heavy Quark Mass Limits
• Review of Neutral Naturalness
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Two Particles with Zero-Range Interaction in a Magnetic Field
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• The pion electromagnetic structure with self-energy
• Formal Developments for Lattice QCD with Applications to Hadronic Systems
• Lellouch-Lüscher relation for ultracold few-atom systems under confinement