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math-phFeb 8, 2007
4
citations (OpenAlex)
authors
  • W. A. Berger
  • H. G. Miller
  • D. Waxman
institutions
  • University of Pretoria
  • University of Sussex
arXiv abstractPDF
paper

Threshold Bound States

arXiv:math-ph/0702020 · doi:10.1140/epja/i2008-10636-0

Abstract

Relationships between the coupling constant and the binding energy of threshold bound states are obtained in a simple manner from an iterative algorithm for solving the eigenvalue problem. The absence of threshold bound states in higher dimensions can be easily understood.

References in corpus (10)

  • Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
  • Gamow Shell Model Description of Neutron-Rich Nuclei
  • Shell Structure of Exotic Nuclei
  • Deformation of Nuclei Close to the Two-Neutron Drip Line in Mg Region
  • Theoretical Aspects of Science with Radioactive Nuclear Beams
  • Resonant continuum in the Hartree-Fock+BCS approximation
  • Particle-unstable nuclei in the Hartree-Fock theory
  • A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei
  • Improving the Convergence of an Iterative Algorithm Proposed By Waxman
  • A Perturbative Expansion for Weakly Bound States

Cited by in corpus (3)

  • Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
  • Universality in a one-dimensional three-body system
  • Bound states without potentials: localization at singularities
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