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Pion Interactions in the X(3872)
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We consider pion interactions in an effective field theory of the narrow resonance X(3872), assuming it is a weakly bound molecule of the charm mesons D^{0} \bar D^{*0} and D^{*0} \bar D^{0}. Since the hyperfine splitting of the D^{0} and D^{*0} is only 7 MeV greater than the neutral pion mass, pions can be produced near threshold and are non-relativistic. We show that pion exchange can be treated in perturbation theory and calculate the next-to-leading-order correction to the partial decay width \Gamma[X \to D^0 \bar D^{0} \pi^0].
Forward citations
Cited by 6 Pith papers
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Two-pion exchange for coupled-channel scattering of two heavy mesons
The authors derive the next-to-leading-order two-pion-exchange potentials for heavy meson and heavy antimeson scattering and show the results are close to simple momentum-dependent contact terms.
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Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole
A model-dependent study showing that the existence of a DDD* bound state is tied to the virtual-state pole position of Zc(3900), with binding occurring only for near-threshold Zc poles.
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Production of $X(3872)$ and a Photon in $e^+e^-$ Annihilation
If X(3872) is a charm-meson molecule, e+e- -> X gamma has a narrow triangle-singularity peak at 2.2 MeV above the D*0 Dbar*0 threshold, with a peak cross section near 0.5 pb.
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Branching Fractions of the $X(3872)$
If the X(3872) is a weakly bound charm-meson molecule, its J/psi pi+ pi- branching fraction lies between roughly 4% and 33%, and is likely several times larger than the measured resonance-feature fraction.
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Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework
Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.
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Hadronic molecules
Hadronic molecules serve as a framework for certain exotic heavy-quark states where nonrelativistic effective field theories enable predictions with controlled uncertainty.
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