Extrapolation Method for the No-Core Shell Model

Abstract

Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on perturbation theory, so that the binding energy of a large basis-space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested for 3H and 6Li nuclei. It will extend our computational abilities significantly and allow for reliable error estimates.

8 pages, 7 figures, PRC accepted

References in corpus (7)

• Quantum Monte Carlo Calculations of Light Nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• The alpha-particle based on modern nuclear forces
• The three-nucleon bound state using realistic potential models
• An extrapolation method for shell model calculations
• Precise estimation of shell model energy by second order extrapolation method

Cited by in corpus (16)

• Ab initio no-core full configuration calculations of light nuclei
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Extrapolation of nuclear structure observables with artificial neural networks
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Importance-Truncated Large-Scale Shell Model
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Nuclear Reactions from Lattice QCD
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• New Results in Light-Front Phenomenology
• New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations
• Extrapolation method in shell model calculations with deformed basis
• The Shell Model, the Renormalization Group and the Two-Body Interaction