The Tjon Band in Nuclear Lattice Effective Field Theory
arXiv:1803.04231 · doi:10.1140/epja/i2018-12553-y
Abstract
We explore the lattice spacing dependence in Nuclear Lattice Effective Field Theory for few-body systems up to next-to-next-to leading order in chiral effective field theory including all isospin breaking and electromagnetic effects, the complete two-pion-exchange potential and the three-nucleon forces. We calculate phase shifts in the neutron-proton system and proton-proton systems as well as the scattering length in the neutron-neutron system. We then perform a full next-to-next-to-leading order calculation with two-nucleon and three-nucleon forces for the triton and helium-4 and analyse their binding energy correlation. We show how the Tjon band is reached by decreasing the lattice spacing and confirm the continuum observation that a four-body force is not necessary to describe light nuclei.
arXiv comment15 pages, 9 figures
References in corpus (43)
- Modern Theory of Nuclear Forces
- Construction of high-quality Nucleon-Nucleon potential models
- Three-Nucleon Forces from Chiral Effective Field Theory
- Few-Nucleon Forces and Systems in Chiral Effective Field Theory
- Accurate nuclear radii and binding energies from a chiral interaction
- Three-body forces and the limit of oxygen isotopes
- Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
- Ab initio calculation of the Hoyle state
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- Structure and rotations of the Hoyle state
- Lattice simulations for few- and many-body systems
- Modern nuclear force predictions for the alpha particle
- Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
- Ab initio alpha-alpha scattering
- Leading chiral three-nucleon forces along isotope chains in the calcium region
- Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
- Medium-mass nuclei from chiral nucleon-nucleon interactions
- Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
- Low-momentum interaction in few-nucleon systems
- Lattice Effective Field Theory for Medium-Mass Nuclei
- On the correlation between the binding energies of the triton and the alpha-particle
- Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
- Lattice effective field theory calculations for A = 3,4,6,12 nuclei
- Spectrum of three-body bound states in a finite volume
- Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
- Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
- Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
- Ab initio calculations of the isotopic dependence of nuclear clustering
- Four-nucleon force using the method of unitary transformation
- Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
- Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
- Volume Dependence of N-Body Bound States
- Chiral three-nucleon forces and bound excited states in neutron-rich oxygen isotopes
- Lattice methods for strongly interacting many-body systems
- Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
- Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
- Nucleon-deuteron scattering using the adiabatic projection method
- Precise determination of lattice phase shifts and mixing angles
- Chiral effective field theory on the lattice at next-to-leading order
- Large-N droplets in two dimensions
- Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
- Applying Twisted Boundary Conditions for Few-body Nuclear Systems
- Regularization Methods for Nuclear Lattice Effective Field Theory
Cited by in corpus (10)
- A Guided Tour of Ab Initio Nuclear Many-Body Theory
- Essential elements for nuclear binding
- Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
- Jacobi no-core shell model for -shell hypernuclei
- Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
- Lattice Improvement in Lattice Effective Field Theory
- Charge-dependent nucleon-nucleon interaction at NLO in nuclear lattice effective field theory
- Worldline Monte Carlo method for few body nuclear physics
- Renormalization of a Contact Interaction on a Lattice
- A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory