Phase shift effective range expansion from supersymmetric quantum mechanics

Details Phase shift effective range expansion from supersymmetric quantum mechanics Phase shift effective range expansion from supersymmetric quantum mechanics

2003-04-03

arxiv.org/abs/nucl-th/0304010v1

Phys.Rev. C67 (2003) 054005

Physics

Nuclear Physics

Nuclear Theory

6 pages, 3 figures, Revtex4, version to be publised in Physical Review C

Scientific paper

10.1103/PhysRevC.67.054005

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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