Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States

Abstract

We apply the Hulthèn-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This method is promising for many-body applications and ab initio description of nuclear reactions. We explore the convergence of phase shifts and wave functions as well as the location of S-matrix poles which enables obtaining both resonance and bound state parameters. We find that adopting wave functions from approximate bound-state solutions for the short-range components of basis wave functions leads to good convergence.

28 pages, 29 figures

References in corpus (11)

• Evolution of shell structure in neutron-rich calcium isotopes
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Prediction for a four-neutron resonance
• Ab-initio no-core Gamow shell model calculations of multi-neutron systems
• Shell Model States in the Continuum
• Ab initio investigation of the ${}^7$Li($p,e^{+}{e}^{-}$)${}^8$Be process and the X17 boson
• Trineutron resonances in the SS-HORSE-NCSM approach
• Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability