Lattice Effective Field Theory Simulations of Nuclei

Abstract

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed features of the nuclear force. Monte Carlo simulations are then employed to predict the properties of nuclear few- and many-body systems. We review the basic methods and several theoretical and algorithmic advances that have been used to further our understanding of atomic nuclei.

minor updates made to address comments received; 21 pages, 6 figures; invited submission for Annual Review of Nuclear and Particle Science

References in corpus (33)

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• Structure and rotations of the Hoyle state
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
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• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Model reduction methods for nuclear emulators
• Eigenvector Continuation and Projection-Based Emulators
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• Nuclear charge radii of silicon isotopes
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• Floating block method for quantum Monte Carlo simulations
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• Sampling General N-Body Interactions with Auxiliary Fields
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Cited by in corpus (5)

• Searching for the Tetraneutron Resonance on the Lattice
• Toward scalable quantum computations of atomic nuclei
• Ab initio study of the halo structure in ${}^{11}$Be
• Ab initio study of the neutron and Fermi polarons on the lattice
• Conformal prediction for uncertainties in nucleon-nucleon scattering