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Factorization in the Production and Decay of the X(3872)

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arxiv hep-ph/0506087 v2 pith:AKT2XYFS submitted 2005-06-08 hep-ph

classification hep-ph
keywords productionfactorizationdecayratesbindingenergyformulasimply
verification ladder T0 review T1 audit T2 compute T3 formal
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The production and decay of the X(3872) are analyzed under the assumption that the X is a weakly-bound molecule of the charm mesons D^0 \bar D^{*0} and D^{*0} \bar D^0. The decays imply that the large D^0 \bar D^{*0} scattering length has an imaginary part. An effective field theory for particles with a large complex scattering length is used to derive factorization formulas for production rates and decay rates of X. If a partial width is calculated in a model with a particular value of the binding energy, the factorization formula can be used to extrapolate to other values of the binding energy and to take into account the width of the X. The factorization formulas relate the rates for production of X to those for production of D^0 \bar D^{*0} and D^{*0} \bar D^0 near threshold. They also imply that the line shape of X differs significantly from that of a Breit-Wigner resonance.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Decoding the near-threshold $X_{0,\,1}(4140)$ and $X_{1}(4685)$ states via OZI-suppressed coupled-channel scattering

    hep-ph 2026-02 unverdicted novelty 5.0 of 10

    X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.

  2. Isosinglet-isotriplet mixing and the $X(3872)$ lineshape

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    A phenomenological model mixing compact isosinglet and molecular isotriplet components for the X(3872) qualitatively reproduces interference-enhanced charged DD* decays and structures in J/psi pi pi lineshapes.

  3. Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$

    hep-ph 2026-03 accept novelty 4.0 of 10

    Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.

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