Path Integral Quantum Monte Carlo Calculations of Light Nuclei

Abstract

We describe a path-integral ground-state quantum Monte Carlo method for light nuclei in continuous space. We show how to efficiently update and sample the paths with spin-isospin dependent and spin-orbit interactions. We apply the method to the triton and alpha particle using both local chiral interactions with next-to-next-to-leading-order %(N${}^2$LO) and the Argonne interactions. For operators, like the total energy, that commute with the Hamiltonian, our results agree with Green's function Monte Carlo and auxiliary field diffusion Monte Carlo calculations. For operators that do not commute with the Hamiltonian and for Euclidean response functions, the path-integral formulation allows straightforward calculation without forward walking or the increased variance typical of diffusion methods. We demonstrate this by calculating density distributions, root mean square radii, and Euclidean response functions for single-nucleon couplings.

15 pages, 9 figures, 6 tables. Accepted by Physical Review C on 2022-9-28; published on 2022-10-26

References in corpus (5)

• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme

Cited by in corpus (2)

• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice