Universal properties of infrared oscillator basis extrapolations

Abstract

Recent work has shown that a finite harmonic oscillator basis in nuclear many-body calculations effectively imposes a hard-wall boundary condition in coordinate space, motivating infrared extrapolation formulas for the energy and other observables. Here we further refine these formulas by studying two-body models and the deuteron. We accurately determine the box size as a function of the model space parameters, and compute scattering phase shifts in the harmonic oscillator basis. We show that the energy shift can be well approximated in terms of the asymptotic normalization coefficient and the bound-state momentum, discuss higher-order corrections for weakly bound systems, and illustrate this universal property using unitarily equivalent calculations of the deuteron.

16 pages, 21 figures, published version

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Cited by in corpus (15)

• Accurate nuclear radii and binding energies from a chiral interaction
• Probing the N = 32 shell closure below the magic proton number Z = 20: Mass measurements of the exotic isotopes 52,53K
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Infrared length scale and extrapolations for the no-core shell model
• Ab initio effective interactions for sd-shell valence nucleons
• Shell Model States in the Continuum
• Ultraviolet extrapolations in finite oscillator bases
• Infrared extrapolations for atomic nuclei
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Generalized parton distributions in a light-front nonperturbative approach
• Chiral potential renormalized in harmonic-oscillator space
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Alternative similarity renormalization group generators in nuclear structure calculations
• A new single-particle basis for nuclear many-body calculations