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

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arxiv 2411.17962 v2 pith:SEVAJVBL submitted 2024-11-27 hep-ph hep-exhep-latnucl-th

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

classification hep-ph hep-exhep-latnucl-th
keywords statescharmedfullyp-wavetetraquarkmodelquarkresonant
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We conduct the first comprehensive P-wave four-body dynamical calculations of the fully charmed tetraquark systems within the quark potential model. We apply the Gaussian expansion method to solve the four-body Schr\"odinger equation, incorporating both dimeson and diquark-antidiquark spatial configurations. The matrix elements of P-wave states are calculated analytically using the infinitesimally-shifted Gaussian basis functions. With the complex scaling method, we obtain several fully charmed P-wave resonant states with compact tetraquark configuration in the mass region of $(7.0,7.2)$ GeV, including states with exotic quantum numbers $J^{PC}=0^{--},1^{-+}$. However, we find no resonant states with the mass $M<7$ GeV and width $\Gamma<200$ MeV. Combining the present investigation with our previous results on S-wave fully charmed tetraquark systems, we find no candidates for the experimental states $X(6400)$ and $X(6600)$ in the quark model.

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Forward citations

Cited by 4 Pith papers

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

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

    hep-ph 2026-07 unverdicted novelty 5.0

    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.

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

    hep-ph 2026-07 conditional novelty 5.0

    Counting symmetry-allowed states up to orbital angular momentum L=3 predicts low-lying compact tetraquarks prefer J^P=2^+, matching the observed 2^{++} fully charmed X states.

  3. Systematic study of exotic $1^{-+}$ tetraquark spectroscopy

    hep-ph 2025-11 unverdicted novelty 3.0

    A constituent quark model predicts masses of 1.9, 4.2, and 6.6 GeV for light, charmonium-like, and fully-charm 1^{-+} tetraquarks along with decay ratios for specific two-body channels and rules out η1(1855) as a comp...

  4. Study of $1^{--}$ P wave charmoniumlike and bottomoniumlike tetraquark spectroscopy

    hep-ph 2025-03 unverdicted novelty 3.0

    Constituent quark model with imported meson parameters predicts lowest 1-- P-wave tetraquark mass near 4.15 GeV and proposes that ψ(4230), ψ(4360), ψ(4660), and Υ(10753) may be such states with possible multiples near...