Spatial interpretation of "compositeness" for finite-range potentials

Abstract

We discuss the relation between the "compositeness" of an s-wave bound state, as derived from a related partial wave scattering amplitude, and the corresponding spatial probability densities, for the case of spherically symmetric, energy-independent finite-range potentials in non-relativistic quantum mechanics. We find that in this simple case "compositeness" is a measure for the probability to find the constituents separated by a distance greater than the interaction range.

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• Inverse scattering problem with a bare state
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• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system