Phase shifts as functions of the cross section
- 1 March 1975
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (3), 685-693
- https://doi.org/10.1063/1.522581
Abstract
We show that an elastic scattering amplitute may be defined as an implicit function of the differential cross section. A practical method is given for a numerical investigation of this dependence, both in the elastic and in the inelastic regions. In particular, we consider the case of a polynomial amplitude, and we show that the Crichton ambiguity is not isolatedKeywords
This publication has 21 references indexed in Scilit:
- Continuum ambiguity in the construction of unitary analytic amplitudes from fixed-energy-scattering dataJournal of Mathematical Physics, 1973
- Construction of analytic, unitary scattering amplitudes from a given differential cross-section: A refined analysisCommunications in Mathematical Physics, 1973
- Construction of a unitary analytic scattering amplitude (I). Scalar particlesNuclear Physics B, 1973
- Analytic phase-shift analysisJournal de Physique, 1973
- Existence and Uniqueness Questions for the Unitarity EquationJournal of Mathematical Physics, 1972
- Determination of the scattering amplitude from the differential cross-section and unitarityCommunications in Mathematical Physics, 1972
- Ambiguities of complex phase-shift analysisNuclear Physics B, 1969
- Construction of the scattering amplitude from the differential cross-sectionsIl Nuovo Cimento A (1971-1996), 1969
- Determination of the Amplitude from the Differential Cross Section by UnitarityJournal of Mathematical Physics, 1968
- Phase-shift ambiguities for spin-independent scatteringIl Nuovo Cimento A (1971-1996), 1966