Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
arXiv:1003.5697 · doi:10.1140/epja/i2010-11009-x
Abstract
We present lattice calculations for the ground state energies of tritium, helium-3, helium-4, lithium-6, and carbon-12 nuclei. Our results were previously summarized in a letter publication. This paper provides full details of the calculations. We include isospin-breaking, Coulomb effects, and interactions up to next-to-next-to-leading order in chiral effective field theory.
38 pages, 11 figures, final publication version
References in corpus (10)
- Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
- Ab initio no-core full configuration calculations of light nuclei
- Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
- Lattice effective field theory calculations for A = 3,4,6,12 nuclei
- Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
- Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
- Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
- Spectral convexity for attractive SU(2N) fermions
- Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
- Superfluidity and excitations at unitarity
Cited by in corpus (57)
- Accurate nuclear radii and binding energies from a chiral interaction
- Ab initio calculation of the Hoyle state
- Structure and rotations of the Hoyle state
- Signatures of three-nucleon interactions in few-nucleon systems
- Ab Initio Path to Heavy Nuclei
- Ab initio alpha-alpha scattering
- Ab initio calculation of the spectrum and structure of O
- Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
- Lattice Effective Field Theory for Medium-Mass Nuclei
- Nuclear binding near a quantum phase transition
- Viability of carbon-based life as a function of the light quark mass
- Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
- Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
- Chiral dynamics of few- and many-nucleon systems
- What is ab initio in nuclear theory?
- Dependence of the triple-alpha process on the fundamental constants of nature
- Ab initio coupled-cluster theory for open-shell nuclei
- Lattice methods for strongly interacting many-body systems
- Nucleon-Nucleon Scattering in a Harmonic Potential
- Radiative capture reactions in lattice effective field theory
- Hadron interactions in lattice QCD
- The long and winding road from chiral effective Lagrangians to nuclear structure
- Precise determination of lattice phase shifts and mixing angles
- Anthropic considerations in nuclear physics
- Perturbative quantum Monte Carlo method for nuclear physics
- Adiabatic projection method for scattering and reactions on the lattice
- Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
- Nuclear Reactions from Lattice QCD
- The Tjon Band in Nuclear Lattice Effective Field Theory
- Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
- Finite volume effects in low-energy neutron-deuteron scattering
- Quark and pion effective couplings from polarization effects
- Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice
- Lattice Effective Field Theory Simulations of Nuclei
- Exploratory investigation of nucleon-nucleon interactions using Euclidean Monte Carlo simulations
- Proton-proton fusion in lattice effective field theory
- Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory
- The six-nucleon Yakubovsky equations for 6He
- Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
- Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
- The Nuclear Yukawa Model on a Lattice
- Effective Field Theory for Bound State Reflection
- Charge-dependent nucleon-nucleon interaction at NLO in nuclear lattice effective field theory
- Investigating nuclear beta decay using lattice quantum Monte Carlo approach
- Lattice methods and effective field theory
- Renormalization of a Contact Interaction on a Lattice
- Worldline Monte Carlo method for few body nuclear physics
- Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
- Toward scalable quantum computations of atomic nuclei
- NuLattice: Ab initio computations of atomic nuclei on lattices
- Nuclear lattice simulations: Status and perspectives
- Ab initio calculation of the Hoyle state and a new look at clustering in nuclei
- Clustering in nuclei from ab initio nuclear lattice simulations
- LIFE ON EARTH -- AN ACCIDENT? Chiral Symmetry and the Anthropic Principle
- Unquenched simulations of four-nucleon interactions
- Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
- Nuclear Lattice Simulations using Symmetry-Sign Extrapolation