Pade-resummed high-order perturbation theory for nuclear structure calculations

Abstract

We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy contributions up to 30th order and compare to exact no-core shell model calculations for the same model space and Hamiltonian. Generally, finite partial sums of this perturbation series do not show convergence with increasing order, but tend to diverge exponentially. Nevertheless, through a simple resummation via Pade approximants it is possible to extract rapidly converging and highly accurate results for the ground state energy.

6 pages, 2 figures, 1 table

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• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Reduced regulator dependence of neutron-matter predictions with chiral interactions
• New applications of renormalization group methods in nuclear physics
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Improved many-body expansions from eigenvector continuation
• Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
• Effective density functionals beyond mean field
• Bogoliubov many-body perturbation theory under constraint
• Systematics of binding energies and radii based on realistic two-nucleon plus phenomenological three-nucleon interactions
• Spectra of Open-Shell Nuclei with Padé-Resummed Degenerate Perturbation Theory
• Excited states from eigenvector continuation: the anharmonic oscillator
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Impact of correlations on nuclear binding energies
• Computing singularities of perturbation series
• Dual vibration configuration interaction (DVCI). An efficient factorization of molecular Hamiltonian for high performance infrared spectrum computation
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• Giant Resonances based on Unitarily Transformed Two-Nucleon plus Phenomenological Three-Nucleon Interactions
• Perturbation theory without power series: iterative construction of non-analytic operator spectra
• A fast iterative algorithm for near-diagonal eigenvalue problems
• Perturbation-Adapted Perturbation Theory
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods