Line Shapes of the X(3872)

Abstract

If the quantum numbers of the X(3872) are J^{PC}=1^{++}, the measurement of its mass implies that it is either a loosely-bound hadronic molecule whose constituents are a superposition of the charm mesons pairs D^{*0} Dbar^0 and D^0 Dbar^{*0} or else it is a virtual state of these charm mesons. Its binding energy is small enough that the decay width of a constituent D^{*0} or Dbar^{*0} has a significant effect on the line shapes of the X resonance. We develop a simple approximation to the line shapes that takes into account the effect of the D^{*0} width as well as inelastic scattering channels of the charm mesons. We carry out a simultaneous fit to the line shapes in the J/psi pi^+ pi^- and D^0 Dbar^0 pi^0 channels measured in the decays B^+ to K^+ + X by the Belle Collaboration. The best fit corresponds to the X(3872) being a bound state just below the D^{*0} Dbar^0 threshold, but a virtual state just above the D^{*0} D-ar^0 threshold is not excluded.

24 pages, 7 figures

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• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
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Cited by in corpus (93)

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• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Higher Charmonia and X,Y,Z states with Screened Potential
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Four-Quark Hadrons: an Updated Review
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
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• Production of the X(3872) at the Tevatron and the LHC
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• Isospin breaking effects in the X(3872) resonance
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• Efimov States in Nuclear and Particle Physics
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• $Z_c^{+}(3900)$ decay width in QCD sum rules
• Precision Measurement of the X(3872) Mass in J/psi pi+ pi- Decays
• Interplay of quark and meson degrees of freedom in a near-threshold resonance: multi-channel case
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• Nature of X(3872) from data
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• Analysis of J/psi pi+ pi- and D0 D0-bar pi0 Decays of the X(3872)
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• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
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• Doubly Heavy Tetraquark Resonant States
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
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• Estimate of the branching fraction ${\tau }^{-}\to \eta {\pi }^{-}{\nu }_{\tau }$, the $a_0^{-}(980)$, and non-standard weak interactions
• Line Shapes of the Z(4430)
• Binding energy of the $X(3872)$ at unphysical pion masses
• Double heavy tri-hadron bound state via delocalized $\pi$ bond
• A simple alternative to the Breit-Wigner distribution
• Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Heavy hadron spectroscopy: a quark model perspective
• An Estimate of the Partial Width for X(3872) into p p-bar
• Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme
• How to identify the structure of near-threshold states from the line shape
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• $X(3872)$ as virtual companion pole of the charm-anticharm state ${\chi }_{c1}(2P)$
• Study of the lineshape of $X(3872)$ using $B$ decays to $D^0\overline{D}{}^{\ast 0}K$
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