Nucleon-Nucleon Scattering in a Harmonic Potential

Details Nucleon-Nucleon Scattering in a Harmonic Potential Nucleon-Nucleon Scattering in a Harmonic Potential

2010-06-02

arxiv.org/abs/1006.0427v1

Physics

Nuclear Physics

Nuclear Theory

19 pages, 13 figures

Scientific paper

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 n-d, n-t or n-alpha, from the energy-eigenvalues confined to finite volumes using ab-initio bound-state techniques.

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