From bound states to the continuum

Abstract

This white paper reports on the discussions of the 2018 Facility for Rare Isotope Beams Theory Alliance (FRIB-TA) topical program "From bound states to the continuum: Connecting bound state calculations with scattering and reaction theory". One of the biggest and most important frontiers in nuclear theory today is to construct better and stronger bridges between bound state calculations and calculations in the continuum, especially scattering and reaction theory, as well as teasing out the influence of the continuum on states near threshold. This is particularly challenging as many-body structure calculations typically use a bound state basis, while reaction calculations more commonly utilize few-body continuum approaches. The many-body bound state and few-body continuum methods use different language and emphasize different properties. To build better foundations for these bridges, we present an overview of several bound state and continuum methods and, where possible, point to current and possible future connections.

48 pages, 23 figures; paper from the FRIB Theory Alliance Workshop on "From Bound States to the Continuum", June 11-22, 2018

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• Charged particles interaction in both a finite volume and a uniform magnetic field
• Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model
• Observation of the near-threshold intruder $0^{-}$ resonance in ${}^{12}$Be
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Nuclear scattering via quantum computing
• Ab initio translationally invariant nucleon-nucleus optical potentials
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
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• Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• Cross sections for neutron-induced reactions from surrogate data: revisiting the Weisskopf-Ewing approximation for $(n,n^{\prime })$ and $(n,2n)$ reactions
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• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
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• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Estimate of the location of the neutron drip line for calcium isotopes from an exact Hamiltonian with continuum pair correlations
• Calculation of harmonic oscillator brackets in SU(3) basis
• Quantum Simulation of Nuclear Dynamics in First Quantization
• Green's Function Formalism for Impurity-Induced Resonances in Sub-barrier Proton-Nucleus Scattering
• Trapped two-nucleon system in energy-dependent effective field theory
• Models for Pairing Phenomena