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.
Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap
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abstract
Considering the elastic scattering of two charged particles, we present two methods for numerically solving the generalized Coulomb-corrected BERW formula with high accuracy across the entire energy spectrum. We illustrate these methods using p-alpha scattering, employing a phenomenological p-alpha short-range interaction. Our results reproduce the phase shifts computed with the Numerov method for all l=0 and l=1 channels. We also provide full access to the Python script used to obtain these results, which can be readily applied to a wide range of core-fragment scattering problems in nuclear and atomic physics.
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Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections
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.