Uncertainties of Phase Shift Analyses the Nucleon-Nucleon Interaction

Leeb, H.; Leidinger, Doris

doi:10.1007/978-3-7091-7581-1_11

Cited by 11 publications

(2 citation statements)

References 15 publications

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“…The number of Pauli forbidden states can be predicted from a microscopic description of the interacting particles [1]. The application of the supersymmetric (SUSY) quantum mechanics [2] to the inverse scattering problem provides an elegant and powerful algebraic way to understand the relation between such phase equivalent potentials [3,4,5,6]. A supersymmetric transformation can be seen as a specific Darboux transformation.…”

Section: Introductionmentioning

confidence: 99%

Phase shift effective range expansion from supersymmetric quantum mechanics

Samsonov

Stancu

2003

Phys. Rev. C

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Supersymmetric or Darboux transformations are used to construct local phase equivalent deep and shallow potentials for ℓ = 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 longdistance transformations. The approach is shown to be effective in getting the correct phase shift effective range expansion. Applications are considered for the 1 P1 and 1 D2 partial waves of the neutron-proton scattering.

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Section: Introductionmentioning

confidence: 99%

Phase shift effective range expansion from supersymmetric quantum mechanics

Samsonov

Stancu

2003

Phys. Rev. C

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“…They are, with a few exceptions [8][9][10], angular distributions for discrete energies whose uncertainties of relative normalization [11] will propagate through phase shifts into the resulting nucleon-nucleon potentials [12]. Above that, the database grows increasingly sparse, even for spin averaged cross sections.…”

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confidence: 99%