par Sparenberg, Jean-Marc ;Capel, Pierre ;Baye, Daniel Jean
Référence Physical review. C. Nuclear physics, 81, 1, page (011601)
Publication Publié, 2010-01-08
Article révisé par les pairs
Résumé : Compact algebraic equations are derived that 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.