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Compositeness of near-threshold $s$-wave resonances

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arxiv 2403.12635 v3 pith:TVLRHMYU submitted 2024-03-19 hep-ph nucl-th

classification hep-phnucl-th
keywords resonancesnear-thresholdthresholdbelowboundcompositenessschemeshallow
verification ladder T0 review T1 audit T2 compute T3 formal
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The near-threshold clustering phenomenon is well understood by the low-energy universality, for shallow bound states below the threshold. Nevertheless, the characteristics of resonances slightly above the threshold still lack thorough elucidation. We introduce a novel probabilistic interpretation scheme for complex compositeness of resonances, in which resonances with large decay widths fall outside the domain where their internal structure can be interpreted probabilistically. Employing this scheme to analyze resonances via the effective range expansion, we demonstrate that near-threshold resonances have a small composite fraction, in sharp contrast to shallow bound states below the threshold.

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Cited by 4 Pith papers

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

  1. Compositeness of near-threshold states with repulsive Coulomb interaction combined with short-range potential

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Compositeness of near-threshold states with repulsive Coulomb plus short-range forces can be written in terms of the Coulomb scattering length, effective range, and Bohr radius; shallow bound states and nearby resonan...

  2. Testing the nature of the $\Sigma^*(1430)$

    hep-ph 2025-05 conditional novelty 6.0 of 10

    A unitarized coupled-channel model using SU(3) couplings finds that a largely non-molecular Sigma*(1430) is either too narrow to match Belle data or becomes heavily dressed by meson-baryon components.

  3. 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.

  4. 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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