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Effective range expansion for narrow near-threshold resonances
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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.
Forward citations
Cited by 4 Pith papers
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Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements
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...
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Probing the structure of the $D_{s 0}^*(2317)$ and $X(3872)$ states through correlation functions
Femtoscopic correlation functions for D0K+ and D0Dbar*0 pairs are predicted to be sensitive to the molecular versus bare-state composition of D_s0*(2317) and X(3872).
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A short review on the compositeness of the $X(3872)$
Radiative decays and the LHCb line-shape data are incompatible with a purely molecular X(3872) and favor a compact or partially composite state, with a proposed molecular-amplitude fit for a decisive test.
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Effect of a repulsive three-body interaction on the $DD^{(*)}K$ molecule
Repulsive three-body interactions gradually expand DD(∗)K molecules and eventually dissociate them into a D(∗)K bound pair plus a distant D meson.
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