Influence of low energy scattering on loosely bound states

Details Influence of low energy scattering on loosely bound states Influence of low energy scattering on loosely bound states

2009-07-29

arxiv.org/abs/0907.5166v1

Phys.Rev.C81:011601,2010

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.81.011601

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.

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