Pion Interactions in the X(3872)

Abstract

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 Γ[X \to D^0 \bar D^{0} π^0].

26 pages, 11 figures, revtex4, to appear in Phys. Rev. D

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• Analysis of the Quantum Numbers $J^{PC}$ of the X(3872) Particle
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• 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
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• A Perturbative Calculation of the Electromagnetic Form Factors of the Deuteron
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
• Reinterpreting several narrow `resonances' as threshold cusps
• First Measurement of $\Gamma (D\ast +)$
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• Charmonium Hybrid Production in Exclusive B Meson Decays
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• A Precision Determination of the D^0 Mass
• The role of the nucleon recoil in low--energy meson--nucleus reactions
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• The NN scattering 3S1-3D1 mixing angle at NNLO
• An Alternative Interpretation of X(3872)
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• X(3872) diagnostics with decays to D {\bar D} γ
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• The upper limit of the e+e- partial width of X(3872)
• Search for a Charmonium Assignment for the X(3872)
• Search for X(3872) in gamma gamma Fusion and ISR at CLEO
• The X(3872) Meson and "Exotic" Spectroscopy at CDF II
• Radiation pions in two-nucleon effective field theory
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