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arXiv · 1611.09088

Extrapolation of scattering data to the negative-energy region

L. D. Blokhintsev·A. S. Kadyrov·A. M. Mukhamedzhanov·D. A. Savin
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Abstract

Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated.

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L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, D. A. Savin. 2016-11-28. Extrapolation of scattering data to the negative-energy region. https://doi.org/10.1103/physrevc.95.044618

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