The Inverse-Scattering Problem: The View of a Few-Nucleon Theorist

The Inverse-Scattering Problem: The View of a Few-Nucleon Theorist

The theoretical step from the experimental phase shifts in the partial waves of the nuclear force to a parametrization of the two-nucleon interaction is discussed. A nuclear-physics solution to the inverse-scattering problem is recalled. The procedure is only based on the assumption of Hermiticity f...

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Veröffentlicht in:Few-body systems 2019-06, Vol.60 (2), p.1-6, Article 28
1. Verfasser: Sauer, Peter U.
Format: Artikel
Sprache:eng
Schlagworte:
Atomic
Hadrons
Heavy Ions
Ludwig Faddeev Memorial Issue
Mathematical analysis
Matrix methods
Molecular
Nuclear Physics
Optical and Plasma Physics
Parameterization
Particle and Nuclear Physics
Physics
Physics and Astronomy
Scattering
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Zusammenfassung:The theoretical step from the experimental phase shifts in the partial waves of the nuclear force to a parametrization of the two-nucleon interaction is discussed. A nuclear-physics solution to the inverse-scattering problem is recalled. The procedure is only based on the assumption of Hermiticity for the underlying potential. The procedure is provided by the off-energy-shell continuation of the two-nucleon transition matrix. It is compared with the strategies of mathematicians for the same problem. Faddeev strongly influenced the mathematical side of the problem.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-019-1493-0