2010/06/02 by Thomas Luu, Martin J. Savage, Martin Savage +3 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Ab initio #Amplitude #Atomic physics #Bound state #Eigenvalues and eigenvectors #Harmonic #High-pressure geophysics and materials #Nuclear physics research studies #Nucleon #Phase (matter) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Scattering theory #nucl-th
paper · pdf · doi:10.1103/physrevc.82.034003
published as Phys.Rev.C82:034003,2010 · 19 pages, 13 figures
arxiv created 2010/06/02 · openalex publication_date 2010/09/30 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The discrete energy eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are compared to those obtained from the exact continuum scattering solution and agree within the uncertainties of the calculations. Our results suggest that it might be possible to determine the amplitudes for the scattering of complex systems, such as nd, nt, or n\ensuremathα, from the energy eigenvalues confined to finite volumes using ab initio bound-state techniques.