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Tetraquark bound states in a Bethe-Salpeter approach

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arxiv 1206.5129 v2 pith:R2TVWVQ6 submitted 2012-06-22 hep-ph hep-exhep-lat

Walter Heupel , Gernot Eichmann , Christian S. Fischer This is my paper · ORCID
classification hep-phhep-exhep-lat
keywords tetraquarkmassbethe-salpeterboundconstituentscoupledequationsmeson
verification ladder T0 review T1 audit T2 compute T3 formal
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We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f_0(600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.

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Cited by 6 Pith papers

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

  1. Next-to-leading order QCD corrections to electromagnetic production and decay of fully charm tetraquarks

    hep-ph 2025-12 conditional novelty 6.0 of 10

    The first NLO QCD corrections to fully charm tetraquark → γγ decay are given, with photon-fusion production cross sections predicted.

  2. Spectra of light and heavy mesons with $J \le 5$ in a relativistic Bethe-Salpeter approach

    hep-ph 2025-10 conditional novelty 6.0 of 10

    First J=4,5 meson Bethe-Salpeter tensor bases plus exploratory rainbow-ladder spectra and Regge trajectories from light through bottom quarkonia.

  3. Prediction of an $I(J^{P})=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^\ast B^\ast$ Threshold Using Lattice QCD Potentials

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A coupled-channel Born-Oppenheimer calculation with lattice QCD potentials predicts a broad \bar{b}\bar{b}ud tetraquark resonance about 4 MeV above the B*B* threshold, with mass 2m_B + 94 MeV and width 140 MeV.

  4. Symmetry Analysis of Compact Tetraquark States and Implications for the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$

    hep-ph 2026-07 unverdicted novelty 5.0 of 10

    Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.

  5. A novel configuration of gluonic tetraquark state

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The predicted masses of the octet-octet-octet tetracharm hybrid states, 6.98 GeV (0++) and 7.26 GeV (0-+), overlap the observed X(6900) and X(7200).

  6. Effects of Final State Interactions on Landau Singularities

    hep-ph 2024-07 unverdicted novelty 5.0 of 10

    Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.

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