Systematic expansion for infrared oscillator basis extrapolations

Abstract

Recent work has demonstrated that the infrared effects of harmonic oscillator basis truncations are well approximated by imposing a partial-wave Dirichlet boundary condition at a properly identified radius L. This led to formulas for extrapolating the corresponding energy E_L and other observables to infinite L and thus infinite basis size. Here we reconsider the energy for a two-body system with a Dirichlet boundary condition at L to identify and test a consistent and systematic expansion for E_L that depends only on observables. We also generalize the energy extrapolation formula to nonzero angular momentum, and apply it to the deuteron. Formulas given previously for extrapolating the radius are derived in detail.

13 pages, 10 figures. Clarifications made and three figures added to further document results. No results or conclusions are changed

References in corpus (14)

• Chiral effective field theory and nuclear forces
• Ab initio no-core full configuration calculations of light nuclei
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Corrections to nuclear energies and radii in finite oscillator spaces
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• No-core shell model in an effective-field-theory framework
• Universal properties of infrared oscillator basis extrapolations
• Effective operators within the ab initio no-core shell model
• Converging sequences in the ab initio no-core shell model
• How quantum bound states bounce and the structure it reveals
• Effective Field Theory for Bound State Reflection

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