Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials

Abstract

Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

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Cited by in corpus (12)

• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• New applications of renormalization group methods in nuclear physics
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Renormalization of a Finite Range Inverse Cube Potential
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model