Coulomb-Sturmian basis for the nuclear many-body problem

Abstract

Calculations in ab initio no-core configuration interaction (NCCI) approaches, such as the no-core shell model or no-core full configuration methods, have conventionally been carried out using the harmonic-oscillator many-body basis. However, the rapid falloff (Gaussian asymptotics) of the oscillator functions at large radius makes them poorly suited for the description of the asymptotic properties of the nuclear wave function. We establish the foundations for carrying out NCCI calculations with an alternative many-body basis built from Coulomb-Sturmian functions. These provide a complete, discrete set of functions with a realistic exponential falloff. We present illustrative NCCI calculations for 6Li with a Coulomb-Sturmian basis and investigate the center-of-mass separation and spurious excitations.

27 pages, 10 figures; published in Phys. Rev. C

References in corpus (14)

• Modern Theory of Nuclear Forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Ab initio no-core full configuration calculations of light nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• Ab initio many-body calculations of nucleon-nucleus scattering
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Solution of the center-of-mass problem in nuclear structure calculations
• New Discrete Basis for Nuclear Structure Studies
• {\it Ab initio} nuclear structure - the large sparse matrix eigenvalue problem
• Converging sequences in the ab initio no-core shell model
• Useful Bases for Problems in Nuclear and Particle Physics

Cited by in corpus (46)

• Coupled-cluster computations of atomic nuclei
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Basis Light-Front Quantization Approach to Positronium
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Lithium isotopes within the ab intio no-core full configuration approach
• Deep learning: Extrapolation tool for ab initio nuclear theory
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• Ab initio no-core solutions for ${}^6$Li
• The even exciton series in Cu${}_2$O
• Ultraviolet extrapolations in finite oscillator bases
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Infrared extrapolations for atomic nuclei
• Magnetoexcitons in cuprous oxide
• Natural orbitals for many-body expansion methods
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Magnetoexcitons break antiunitary symmetries
• Jacobi no-core shell model for p-shell nuclei
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• GOE-GUE-Poisson transitions in the nearest neighbor spacing distribution of magnetoexcitons
• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
• Extracting free-space observables from trapped interacting clusters
• Natural orbital description of the halo nucleus 6He
• Natural orbitals for the ab initio no-core configuration interaction approach
• Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
• Ab initio no-core properties of 7Li and 7Be with JISP16 and NNLO_opt interactions
• Intrinsic operators for the translationally-invariant many-body problem
• Exchange interaction in the yellow exciton series of cuprous oxide
• Second Harmonic Generation of cuprous oxide in magnetic fields
• Algebraic evaluation of matrix elements in the Laguerre function basis
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method
• Exciton-phonon interaction breaking all antiunitary symmetries in external magnetic fields
• Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu${}_2$O
• Interseries dipole transitions from yellow to green excitons in cuprous oxide
• Population transfer at exceptional points in spectra of the hydrogen atom in parallel electric and magnetic fields
• Nambu-Covariant Many-Body Theory I: Perturbative Approximations
• Construction of the center-of-mass free space for the SU(3) no-core shell model
• The no-core shell model with general radial bases
• Description of nuclei around N=20 starting from the Argonne V18 interaction
• A new single-particle basis for nuclear many-body calculations
• Classical dynamics and semiclassical analysis of excitons in cuprous oxide
• Perspectives on Nuclear Structure and Scattering with the Ab Initio No-Core Shell Model
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
• Current Status of Very-Large-Basis Hamiltonian Diagonalizations for Nuclear Physics
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits
• Deformed natural orbitals for ab initio calculations