Extrapolation of scattering data to the negative-energy region
Nuclear Theory
2017-05-03 v1
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.
Keywords
Cite
@article{arxiv.1611.09088,
title = {Extrapolation of scattering data to the negative-energy region},
author = {L. D. Blokhintsev and A. S. Kadyrov and A. M. Mukhamedzhanov and D. A. Savin},
journal= {arXiv preprint arXiv:1611.09088},
year = {2017}
}