Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials

Abstract

We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed in a local form and are therefore amenable to quantum Monte Carlo calculations. We demonstrate a systematic improvement with each order for the binding energies of $A=3$ and $A=4$ systems. We also carry out the first few-body tests to study perturbative expansions of chiral potentials at different orders, finding that higher-order corrections are more perturbative for softer interactions. Our results confirm the necessity of a three-body force for correct reproduction of experimental binding energies and radii, and pave the way for studying few- and many-nucleon systems using quantum Monte Carlo methods with chiral interactions.

arXiv comment5 pages, 3 figures, 4 tables. Updated references. Cosmetic changes to figures, tables, and equations; added a sentence clarifying the correspondence between our real-space cutoffs and momentum-space cutoffs. Other sentences were reworded for clarity

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• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Local chiral potentials and the structure of light nuclei
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
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• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Spectrum of shear modes in the neutron-star crust: Estimating the nuclear-physics uncertainties
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Local chiral interactions and magnetic structure of few-nucleon systems
• Ab Initio Derivation of Model Energy Density Functionals
• Nuclear Reactions from Lattice QCD
• Double-folding potentials from chiral effective field theory
• Nuclear energy density functionals grounded in ab initio calculations
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Nuclear reactions in artificial traps
• Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
• Applying the Density Matrix Expansion with Coordinate-Space Chiral Interactions
• Dispersion relations applied to double-folding potentials from chiral EFT
• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Path Integral Quantum Monte Carlo Calculations of Light Nuclei
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice
• Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
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• Nucleon-nucleon potentials in phase-space representation
• Formal Developments for Lattice QCD with Applications to Hadronic Systems
• Green's Function Monte Carlo Calculations with Two- and Three-Nucleon Interactions from Chiral Effective Field Theory
• Trapped two-nucleon system in energy-dependent effective field theory
• The Falsification of Nuclear Forces