Halo nuclei 6He and 8He with the Coulomb-Sturmian basis

Abstract

The rapid Gaussian falloff of the oscillator functions at large radius makes them poorly suited for the description of the asymptotic properties of the nuclear wave function, a problem which becomes particularly acute for halo nuclei. We consider an alternative basis for ab initio no-core configuration interaction (NCCI) calculations, built from Coulomb-Sturmian radial functions, allowing for realistic exponential falloff. NCCI calculations are carried out for the neutron halo nuclei 6,8He, as well as the baseline case 4He, with the JISP16 nucleon-nucleon interaction. Estimates are made for the root-mean-square radii of the proton and matter distributions.

13 pages, 8 figures; to be published in Phys. Rev. C

References in corpus (6)

• Ab initio no-core full configuration calculations of light nuclei
• 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
• Coulomb-Sturmian basis for the nuclear many-body problem
• Converging sequences in the ab initio no-core shell model

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• Intrinsic operators for the translationally-invariant many-body problem
• Improved description of light nuclei through chiral effective field theory at leading order
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
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• On the possible existence of a soft dipole mode in 8He
• A new single-particle basis for nuclear many-body calculations
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation
• Halo structure of ${}^6$He from $\text{ab initio}$ two-nucleon spatial correlations
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• Ab initio no-core shell-model study of ${}^{20-23}$Na isotopes