Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order

Abstract

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction coefficients on the lattice. We compute the energy of the triton and low-energy neutron-deuteron scattering phase shifts in the spin-doublet and spin-quartet channels using Luescher's finite volume method. In the four-nucleon system we calculate the energy of the alpha particle using auxiliary fields and projection Monte Carlo.

33 pages, 9 figures

References in corpus (38)

• Chiral Dynamics in Nucleons and Nuclei
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Effective Field Theory for Few-Nucleon Systems
• Three-Nucleon Forces from Chiral Effective Field Theory
• Renormalization of the Three-Body System with Short-Range Interactions
• The Two-Nucleon Potential from Chiral Lagrangians
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• The Three-Boson System with Short-Range Interactions
• Renormalization of One-Pion Exchange and Power Counting
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Effective Theory of the Triton
• Effective Field Theory of Nuclear Forces
• Power counting with one-pion exchange
• Chiral Symmetry and Three-Nucleon Forces
• Pion-nucleon scattering inside the Mandelstam triangle
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Chiral Three-Nucleon Forces from p-wave Pion Production
• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• Phenomenological Aspects of Isospin Violation in the Nuclear Force
• Ground state energy of spin-1/2 fermions in the unitary limit
• Deconstructing triplet nucleon-nucleon scattering
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
• Inequalities for Light Nuclei in the Wigner Symmetry Limit
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Charge-Independence Breaking in the Two-Pion-Exchange Nucleon-Nucleon Force
• Isospin-violating nucleon-nucleon forces using the method of unitary transformation
• The triton and three-nucleon force in nuclear lattice simulations
• The Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces
• Isospin dependence of the three-nucleon force
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• Chiral effective field theory on the lattice at next-to-leading order
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Large-N droplets in two dimensions
• Superfluidity and excitations at unitarity

Cited by in corpus (44)

• Accurate nuclear radii and binding energies from a chiral interaction
• Three-body forces: From cold atoms to nuclei
• Structure and rotations of the Hoyle state
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Towards an ab initio covariant density functional for nuclear structure
• Lattice Effective Field Theory for Medium-Mass Nuclei
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Chiral dynamics of few- and many-nucleon systems
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• The triton in a finite volume
• Topological phases for bound states moving in a finite volume
• Three particles in a finite volume: The breakdown of spherical symmetry
• Dependence of the triple-alpha process on the fundamental constants of nature
• Lattice methods for strongly interacting many-body systems
• Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Volume Dependence of Bound States with Angular Momentum
• Precise determination of lattice phase shifts and mixing angles
• The triton with long-range chiral N3LO three nucleon forces
• Anthropic considerations in nuclear physics
• Perturbative quantum Monte Carlo method for nuclear physics
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Adiabatic projection method for scattering and reactions on the lattice
• Regularization Methods for Nuclear Lattice Effective Field Theory
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Finite volume effects in low-energy neutron-deuteron scattering
• Lattice Effective Field Theory Simulations of Nuclei
• Exploratory investigation of nucleon-nucleon interactions using Euclidean Monte Carlo simulations
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Lattice methods and the nuclear few- and many-body problem
• The triton lifetime from nuclear lattice effective field theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
• Ab initio calculation of the Hoyle state and a new look at clustering in nuclei
• Nuclear Lattice Simulations using Symmetry-Sign Extrapolation
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Improved description of the pion-nucleon scattering phenomenology in covariant baryon chiral perturbation theory
• Unquenched simulations of four-nucleon interactions