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Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark

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arxiv 2103.13140 v2 pith:B3XJCDC2 submitted 2021-03-24 hep-ph hep-ex

Hong-Wei Ke , Xin Han , Xiao-Hai Liu , Yan-Liang Shi This is my paper · ORCID
classification hep-phhep-ex
keywords interactionstateantidiquarkbounddiquarkstateseffectiveequations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recently LHCb declared a new structure $X(6900)$ in the final state di-$J/\psi$ which is popularly regarded as a $cc$-$\bar c\bar c$ tetraquark state. %popularly. Within the Bethe-Salpeter (B-S) frame we study the possible $cc$-$\bar c\bar c$ bound states and the interaction between diquark ($cc$) and antidiquark ($\bar c\bar c$). In this work $cc$ ($\bar c\bar c$) is treated as a color anti-triplet (triplet) axial-vector so the quantum numbers of $cc$-$\bar c\bar c$ bound state are $0^+$, $1^+$ and $2^+$. Learning from the interaction in meson case and using the effective coupling we suggest the interaction kernel for diquark and antidiquark system. Then we deduce the B-S equations for different quantum numbers. Solving these equations numerically we find the spectra of some excited states can be close to the mass of $X(6900)$ when we assign appropriate values for parameter $\kappa$ introduced in the interaction (kernel).We also briefly calculate the spectra of $bb$-$\bar b\bar b$ bound states. Future measurement of $bb$-$\bar b\bar b$ state will help us to determine the exact form of effective interaction.

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Cited by 5 Pith papers

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  1. Light quark fragmentation into S-wave fully charmed tetraquark

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Light quark fragmentation into S-wave fully-charmed tetraquarks is computed at leading order in NRQCD, giving production rates between the gluon and charm channels at the LHC and EIC.

  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. Fully charmed P-wave tetraquark resonant states in the quark model

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A quark-model calculation predicts compact fully charmed P-wave tetraquark resonances near 7.0 to 7.2 GeV, including exotic J^PC = 0^-- and 1^-+ states, and finds no narrow tetraquark candidates below 7 GeV for X(6400...

  4. Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A continuum-extrapolated lattice calculation gives a^{0+}_{eta_c eta_c} = -0.104(09) fm and a^{2+}_{J/psi J/psi} = -0.165(16) fm, indicating repulsive interactions.

  5. 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.

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