Converging sequences in the ab initio no-core shell model

Abstract

We demonstrate the existence of multiple converging sequences in the ab initio no-core shell model. By examining the underlying theory of effective operators, we expose the physical foundations for the alternative pathways to convergence. This leads us to propose a revised strategy for evaluating effective interactions for $A$-body calculations in restricted model spaces. We suggest that this strategy is particularly useful for applications to nuclear processes in which states of both parities are used simultaneously, such as for transition rates. We demonstrate the utility of our strategy with large-scale calculations in light nuclei.

References in corpus (8)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• Many-body nuclear Hamiltonian: Ab exitu approach
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Neutrino-12C scattering in the ab initio shell model with a realistic three-body interaction

Cited by in corpus (36)

• Coupled-cluster computations of atomic nuclei
• Recent developments in no-core shell-model calculations
• Ab initio no-core full configuration calculations of light nuclei
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Corrections to nuclear energies and radii in finite oscillator spaces
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Universal properties of infrared oscillator basis extrapolations
• Systematic expansion for infrared oscillator basis extrapolations
• Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
• Living on the edge of stability, the limits of the nuclear landscape
• Extrapolation of nuclear structure observables with artificial neural networks
• Coulomb-Sturmian basis for the nuclear many-body problem
• Ab initio no-core solutions for ${}^6$Li
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• Effective operators from exact many-body renormalization
• Fast & rigorous predictions for $A=6$ nuclei with Bayesian posterior sampling
• Probing ab initio emergence of nuclear rotation
• Natural orbitals for the ab initio no-core configuration interaction approach
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• Effective interactions and operators in no-core shell model
• Ab initio no-core properties of 7Li and 7Be with JISP16 and NNLO_opt interactions
• Properties of infrared extrapolations in a harmonic oscillator basis
• No-core shell model for 48-Ca, 48-Sc and 48-Ti
• Systematic study of infrared energy corrections in truncated oscillator spaces
• Deducing spectroscopic factors from wave-function asymptotics
• Spectroscopic factor calculations in the \textit{ab initio} no-core shell model
• Study of S, Cl and Ar isotopes with $N\ge Z$ using microscopic effective $sd$-shell interactions
• The no-core shell model with general radial bases
• No-core shell model for A = 47 and A = 49
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation