Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions

Abstract

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low energy $N-d$ and $p{-}^3$He collisions. To this end, the coupled channel form of the integral relations derived from the Kohn variational principle is used. The construction of degenerate bound-state-like wave functions belonging to the continuum spectrum of the Hamiltonian is discussed. Examples are shown using realistic nucleon-nucleon forces.

27 pages, 9 figures

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• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Proton-${}^3$He elastic scattering at low energies
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• Benchmark calculation of n-3H and p-3He scattering
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
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Cited by in corpus (5)

• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Bound state techniques to solve the multiparticle scattering problem
• Ab initio calculations of nuclear widths via an integral relation
• Complex scaling method for three- and four-body scattering above the break-up thresholds
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description