The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)

Abstract

The quantum numbers J^PC = 1++ of the X(3872) and the proximity of its mass to the D*0 anti-D0 threshold imply that it is either a loosely-bound hadronic molecule whose constituents are a superposition of D*0 anti-D0 and D0 anti-D*0 or it is a virtual state of charm mesons. The line shapes of the X(3872) can discriminate between these two possibilities. At energies within a few MeV of the D*0 anti-D0 threshold, the lines shapes of the X produced in B -> K transitions are determined by its binding energy and its width. Their normalizations are determined by a short-distance constant that is different for B+ -> K+ and B0 -> K0. At energies comparable to the 8 MeV splitting between the D*0 anti-D0 and D*+ D- thresholds, the charged meson channels D*+ D- and D+ D*- have a significant effect on the line shapes of the X. We calculate the line shapes taking into account the resonant coupling between the charged and neutral 1++ channels. The line shapes and their normalizations depend on one additional scattering parameter and two additional short-distance constants associated with the B -> K transitions. The line shapes of the X resonance depend on its decay channel; they are different for J/psi pi+ pi-, J/psi pi+ pi- pi0, and D0 anti-D0 pi0. The line shapes are also different for X produced in B+ decays and in B0 decays. Some conceptual errors in previous work on this problem are pointed out.

30 pages, 7 figures

References in corpus (6)

• Pion Interactions in the X(3872)
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Line Shapes of the X(3872)
• Isospin properties of the X state near the D {\bar D}^{*} threshold
• Weakly-bound Hadronic Molecule near a 3-body Threshold
• Operator Product Expansion in the Production and Decay of the X(3872)

Cited by in corpus (24)

• Exotics: Heavy Pentaquarks and Tetraquarks
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• The Exotic XYZ Charmonium-like Mesons
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• Estimate for the X(3872) to gamma J/psi decay width
• Isospin breaking effects in the X(3872) resonance
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Isospin breaking, coupled-channel effects, and X(3872)
• Future Prospects for Hadron Physics at PANDA
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• PANDA Phase One
• Ambiversion of X(3872)
• Radiative E1 decays of X(3872)
• On the scattering of D and D* mesons off the X(3872)
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Line Shapes of the Z(4430)
• Exotic ccbar spectroscopy
• Hidden and open heavy-flavor hadronic states
• A helpful analogy between the covalent bond and Particle Spectroscopy
• Exotic c c-bar Mesons
• The $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$ decays
• Hidden and open charm at Belle (and elsewhere)
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)