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Evidence for X(3872) from DD* scattering on the lattice

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arxiv 1307.5172 v3 pith:DUMWDYTU submitted 2013-07-19 hep-lat hep-ph

Sasa Prelovsek , Luka Leskovec This is my paper · ORCID
classification hep-lathep-ph
keywords scatteringsimulationcandidatelatticedynamicalfoundstatesabsent
verification ladder T0 review T1 audit T2 compute T3 formal

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A candidate for the charmonium(like) state X(3872) is found 11 +/- 7 MeV below the DD* threshold using dynamical Nf=2 lattice simulation with J^PC=1^++ and I=0. This is the first lattice simulation that establishes a candidate for X(3872) in addition to the nearby scattering states D D* and J/psi omega, which inevitably have to be present in dynamical QCD. We extract large and negative DD* scattering length a_0=-1.7 +/- 0.4 fm and the effective range r_0=0.5 +/- 0.1 fm, but their reliable determination will have to wait for a simulation on a larger volume. In I=1 channel, only the D D* and J/psi rho scattering states are found and no candidate for X(3872). This is in agreement with the interpretation that X(3872) is dominantly I=0, while its small I=1 component arises solely from the isospin breaking and is therefore absent in our simulation with m_u=m_d.

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Cited by 4 Pith papers

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

  1. Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT

    hep-ph 2026-08 conditional novelty 6.0 of 10

    A QCD-constrained Born-Oppenheimer calculation organizes most observed quarkoniumlike states above open-flavor thresholds into heavy-quark-spin-symmetry multiplets and predicts a shallow X_b.

  2. Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components

    hep-ph 2025-05 conditional novelty 5.0 of 10

    A coupled-channel mixture model fitted to the X(3872) and Z(3930) masses predicts the X(3860) at about 3867 MeV, dominated by the charmonium core.

  3. Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners

    hep-ph 2019-08 conditional novelty 5.0 of 10

    X(3872) is best described as a shallow D D* molecule in which one-pion exchange and a small charmonium core provide comparable attraction.

  4. Lattice perspectives on doubly heavy tetraquarks

    hep-lat 2025-02 accept novelty 1.0 of 10

    A review of lattice QCD results concludes that doubly heavy tetraquarks Tbb(ud/us) are firmly predicted as bound states, Tcc appears as a virtual state at nonphysical masses, and Tbc is under active study.

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