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From the lineshape of the $X(3872)$ to its structure
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abstract
From a study of the lineshape of the $X(3872)$, the LHCb collaboration measures a sizeable negative effective range. This cannot be reconciled with a shallow $D\bar{D}^*$ bound state hypothesis. Based on Weinberg's compositeness criterion, together with a theorem by Smorodinsky, it follows that the $X$ has to have a compact hidden charm structure, most likely a tetraquark, interacting with unbound $D\bar{D}^*$ pairs via short-distance color forces. This conclusion is strengthened by the general pattern recently emerging for exotic mesons.
Forward citations
Cited by 4 Pith papers
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Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT
A QCD-constrained Born-Oppenheimer calculation organizes most observed quarkoniumlike states above open-flavor thresholds into heavy-quark-spin-symmetry multiplets and predicts a shallow X_b.
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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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$X(3872)$ and hidden charmed tetraquarks
A diquark-antidiquark quark model with parameters fitted to X(3872) and Tcc predicts hidden-charm tetraquark masses and tentatively assigns XYZ states.
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