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.

arXiv comment30 pages, 7 figures

References in corpus (29)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Universality in Few-body Systems with Large Scattering Length
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• The D*0 D0bar threshold resonance
• Low-energy Universality and the New Charmonium Resonance at 3870 MeV
• Interference and binding effects in decays of possible molecular component of X(3872)
• Pion Interactions in the X(3872)
• Observation of a Near-threshold $D^0{\bar{D}}^0{\pi }^0$ Enhancement in $B\to D^0{\bar{D}}^0{\pi }^{0}K$ Decay
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Line Shapes of the X(3872)
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
• Reinterpreting several narrow `resonances' as threshold cusps
• On the hidden charm state at 3872 MeV
• Decays of the X(3872) into J/psi and Light Hadrons
• Exclusive Production of the X(3872) in B Meson Decay
• Production of the X(3872) in B Meson Decay by the Coalescence of Charm Mesons
• Factorization in the Production and Decay of the X(3872)
• A Precision Determination of the D^0 Mass
• 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)

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• Efimov States in Nuclear and Particle Physics
• X(3872) as a molecular DD* state in a potential model
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• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
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• The $X(3872)\to J/\psi \gamma$ decay in the $D{\bar{D}}^{\ast }$ molecular picture
• A Mechanism for Hadron Molecule Production in p pbar(p) Collisions
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Analysis of J/psi pi+ pi- and D0 D0-bar pi0 Decays of the X(3872)
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• Hidden and open heavy-flavor hadronic states
• A helpful analogy between the covalent bond and Particle Spectroscopy
• Exotic c c-bar Mesons
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• Branching Fractions of the $X(3872)$
• Hidden and open charm at Belle (and elsewhere)
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)