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Nucleon-Nucleon Scattering in a Harmonic Potential

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arxiv 1006.0427 v1 pith:6D43KOVF submitted 2010-06-02 nucl-th

classification nucl-th
keywords scatteringconfinedenergy-eigenvaluesharmonicphasepotentialshiftsab-initio
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies

    nucl-th 2025-11 conditional novelty 7.0 of 10

    The finite-volume energy shift of a clustered nucleus is the point-like two-body shift multiplied by a geometric factor that counts spin-isospin cluster partitions, and this factor is essential for extracting ANCs.

  2. Data-driven trap theory for nuclear scattering

    nucl-th 2025-09 conditional novelty 6.0 of 10

    A data-calibrated quantization condition is proposed to extract nuclear scattering phase shifts from harmonic-trap spectra for neutral and charged particles.

  3. Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections

    hep-lat 2025-06 conditional novelty 6.0 of 10

    By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.

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