Natural orbital description of the halo nucleus 6He

Abstract

Ab initio calculations of nuclei face the challenge of simultaneously describing strong short-range internucleon correlations and the long-range properties of weakly-bound halo nucleons. Natural orbitals, which diagonalize the one-body density matrix, provide a basis which is better matched to the physical structure of the many-body wave function. We demonstrate that the use of natural orbitals significantly improves convergence for ab initio no-core configuration interaction calculations of the neutron halo nucleus 6He, relative to the traditional oscillator basis.

6 pages, 4 figures; presented at the Symposium on Nuclear Dynamics and Thermodynamics, Huizhou, China, December 11, 2016; as published in Nucl. Sci. Tech

References in corpus (12)

• Ab initio no-core full configuration calculations of light nuclei
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Corrections to nuclear energies and radii in finite oscillator spaces
• Universal properties of infrared oscillator basis extrapolations
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Infrared length scale and extrapolations for the no-core shell model
• Coulomb-Sturmian basis for the nuclear many-body problem
• Infrared extrapolations for atomic nuclei
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Collective rotation from ab initio theory
• Algebraic evaluation of matrix elements in the Laguerre function basis

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• Natural orbitals for many-body expansion methods
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Natural orbitals for the ab initio no-core configuration interaction approach
• Intrinsic operators for the translationally-invariant many-body problem
• Uncertainties in ab initio nuclear structure calculations with chiral interactions
• Two-dimensional extrapolation procedure for ab initio study of nuclear size parameters and the properties of halo nucleus 6He
• Perspectives on Nuclear Structure and Scattering with the Ab Initio No-Core Shell Model
• Sub Coulomb barrier d+${}^{208}$Pb scattering in the time-dependent basis function approach