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Four-quark states with charm quarks in a two-body Bethe-Salpeter approach

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arxiv 2111.15310 v2 pith:CSJP4AVD submitted 2021-11-30 hep-ph

Nico Santowsky , Christian S. Fischer This is my paper · ORCID
classification hep-ph
keywords statescharmcomponentsfour-quarkinternalquarkall-charmbethe-salpeter
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study the internal structure of a range of four-quark states with charm quark contributions using a two-body Bethe-Salpeter equation. Thereby, we examine charmonium-like states with hidden charm and quark content $c\bar{c}q\bar{q}$, open-charm states with quark content $cc\bar{q}\bar{q}$ and all-charm states with $cc\bar{c}\bar{c}$. In particular we study the internal competition between meson-meson components and diquark-antidiquark components in the wave functions of these states. Our results indicate that the $\chi_{c1}(3872)$ and the $Z_c(3900)$ are predominantly $D\bar D^*$ states and that the recently discovered open-charm state $T_{cc}^+$ is dominated by an internal $DD^*$ component. In both cases the diquark components are negligible. For the all-charm state $X(6900)$ with as yet unknown quantum numbers we identify candidates in the excitation spectra of $0^+$ and $1^+$ states. Furthermore, our framework serves to provide predictions for further, yet undiscovered open and hidden charm four-quark states.

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Cited by 4 Pith papers

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  2. 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.

  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. On the nature of fully-charmed four-quark exotic state $X(6900)$ from its photoproduction off nuclei

    hep-ph 2026-08 conditional novelty 5.0 of 10

    Nuclear photoproduction of X(6900) off carbon and tungsten is predicted to differ by 10-30% between compact-tetraquark, J/psi-psi(3770) molecular, and hybrid interpretations, potentially allowing future electron-ion c...

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