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Phase shift effective range expansion from supersymmetric quantum mechanics

Boris F. Samsonov·Fl. Stancu
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Abstract

Supersymmetric or Darboux transformations are used to construct local phase equivalent deep and shallow potentials for $\ell \neq 0$ partial waves. We associate the value of the orbital angular momentum with the asymptotic form of the potential at infinity which allows us to introduce adequate long-distance transformations. The approach is shown to be effective in getting the correct phase shift effective range expansion. Applications are considered for the $^1P_1$ and $^1D_2$ partial waves of the neutron-proton scattering.

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Boris F. Samsonov, Fl. Stancu. 2003-04-03. Phase shift effective range expansion from supersymmetric quantum mechanics. https://doi.org/10.1103/physrevc.67.054005

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