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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

classification hep-ph
keywords compositenesscasefindfinite-rangepotentialsprobabilityspatialamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A variation on "compositeness" (including higher partial waves)

    nucl-th 2025-02 accept novelty 5.0 of 10

    For finite-range potentials, the compositeness of a bound state is exactly proportional to the probability of finding the particle outside a chosen radius, with a universal factor depending on angular momentum.

  2. Single- and double-heavy Hadronic Molecules

    hep-ph 2025-08 conditional novelty 4.0 of 10

    A conference review argues that the X(3872), Tcc(3875), and the lowest open-charm states are hadronic molecules, and predicts an isovector partner Wc1 that should show up in B0 -> K0 J/psi pi pi decays.

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