Infrared extrapolations for atomic nuclei
arXiv:1408.0252 · doi:10.1088/0954-3899/42/3/034032
Abstract
Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared scaling variable and give values for this nucleus-dependent quantity. We consider isotopes of oxygen computed with the coupled-cluster method from chiral nucleon-nucleon interactions at next-to-next-to-leading order and show that the infrared component of the error is sufficiently understood to permit controlled extrapolations. By employing oscillator spaces with relatively large frequencies, well above the energy minimum, the ultraviolet corrections can be suppressed while infrared extrapolations over tens of MeVs are accurate for ground-state energies. However, robust uncertainty quantification for extrapolated quantities that fully accounts for systematic errors is not yet developed.
16 pages; submitted to Journal of Physics G Focus Issue "Enhancing the interaction between nuclear experiment and theory through information and statistics"
References in corpus (13)
- Similarity Renormalization Group for Nucleon-Nucleon Interactions
- Recent developments in no-core shell-model calculations
- Shell Model in the Complex Energy Plane
- In-Medium Similarity Renormalization Group for Nuclei
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- Medium-mass nuclei from chiral nucleon-nucleon interactions
- Corrections to nuclear energies and radii in finite oscillator spaces
- No-core shell model in an effective-field-theory framework
- Universal properties of infrared oscillator basis extrapolations
- Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
- Quasiparticle and quasihole states of nuclei around 56Ni
- Coulomb-Sturmian basis for the nuclear many-body problem
- Infrared extrapolations for atomic nuclei