Influence of low energy scattering on loosely bound states
Nuclear Theory
2010-04-06 v1 Quantum Physics
Abstract
Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations are established for positively-charged and neutral particles, using the analytic continuation of the scattering (S) matrix in the complex wave-number plane. Their accuracy is checked on simple local potential models for the 16O+n, 16O+p and 12C+alpha nuclear systems, with exotic nuclei and nuclear astrophysics applications in mind.
Keywords
Cite
@article{arxiv.0907.5166,
title = {Influence of low energy scattering on loosely bound states},
author = {Jean-Marc Sparenberg and Pierre Capel and Daniel Baye},
journal= {arXiv preprint arXiv:0907.5166},
year = {2010}
}