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Spatial interpretation of "compositeness" for finite-range potentials

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arxiv 1905.09196 v1 pith:VQMLG2CM submitted 2019-05-22 hep-ph

Spatial interpretation of "compositeness" for finite-range potentials

classification hep-ph
keywords compositenesscasefindfinite-rangepotentialsprobabilityspatialamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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