Influence of low energy scattering on loosely bound states - Nuclear TheoryReport as inadecuate




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Abstract: Compact algebraic equations are derived, which connect the binding energy andthe asymptotic normalization constant ANC of a subthreshold bound state withthe effective-range expansion of the corresponding partial wave. Theserelations are established for positively-charged and neutral particles, usingthe analytic continuation of the scattering S matrix in the complexwave-number plane. Their accuracy is checked on simple local potential modelsfor the 16O+n, 16O+p and 12C+alpha nuclear systems, with exotic nuclei andnuclear astrophysics applications in mind.



Author: Jean-Marc Sparenberg, Pierre Capel, Daniel Baye

Source: https://arxiv.org/







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