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Effective range expansion for narrow near-threshold resonances

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arxiv 2110.07484 v2 pith:KMVI7QRM submitted 2021-10-14 hep-ph hep-exhep-latnucl-th

Effective range expansion for narrow near-threshold resonances

classification hep-ph hep-exhep-latnucl-th
keywords stateseffectiveexpansionnaturenear-thresholdrangeanalysechannels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We discuss some general features of the effective range expansion, the content of its parameters with respect to the nature of the pertinent near-threshold states and the necessary modifications in the presence of coupled channels, isospin violations and unstable constituents. As illustrative examples, we analyse the properties of the $\chi_{c1}(3872)$ and $T_{cc}^+$ states supporting the claim that these exotic states have a predominantly molecular nature.

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Cited by 4 Pith papers

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

  1. Compositeness of near-threshold eigenstates with Coulomb plus short-range interactions

    hep-ph 2026-04 unverdicted novelty 7.0

    The compositeness of near-threshold eigenstates with Coulomb plus short-range forces is determined solely by the Coulomb scattering length, effective range, and Bohr radius, with the Coulomb interaction qualitatively ...

  2. Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements

    hep-ph 2026-01 conditional novelty 6.0

    Extended the generalized effective-range expansion, including the left-hand cut from one-particle exchange, to O(k^6) with a new relativistic version, validated against exact Yukawa-potential solutions of the Lippmann...

  3. A New Look at the X Compositeness from its Lineshape

    hep-ph 2026-05 unverdicted novelty 5.0

    An auxiliary-field effective theory yields a lineshape parametrization for molecular X(3872) that consistently describes deuteron scattering data and differs from the Flatté form used for compact interpretations.

  4. Near-threshold scattering of proton and Omega baryon and possible bound states

    hep-ph 2026-06 unverdicted novelty 3.0

    Adding Pomeron exchange to the NΩ system improves agreement with experiment in the ^5S2 channel and predicts a weak quasi-bound state in the ^3S1 channel.