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Interpretation of the η₁(1855) as a Kbar K₁(1400)+ c.c. molecule

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arxiv 2202.00863 v2 pith:3OLBEEXK submitted 2022-02-02 hep-ph hep-exhep-lat

Interpretation of the η₁(1855) as a Kbar K₁(1400)+ c.c. molecule

classification hep-ph hep-exhep-lat
keywords approxexoticexperimentallambdamolecularmoleculestatebelow
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An exotic state with $J^{PC}=1^{-+}$, denoted by $\eta_1(1855)$, was observed by BESIII collaboration recently in $J/\psi \to \gamma \eta\eta'$. The fact that its mass is just below the threshold of $K\bar K_1(1400)$ stimulates us to investigate whether this exotic state can be interpreted as a $K\bar K_1(1400)+$ c.c { molecule or not}. Using the one boson exchange model, we show that it is possible for $K\bar K_1(1400)$ with $J^{PC}=1^{-+}$ to bind together by taking the momentum cutoff $\Lambda\gtrsim 2$ GeV and yield the same binding energy as the experimental value when $\Lambda\approx 2.5$ GeV. In this molecular picture, the predicted branch ratio $\mathrm{Br}(\eta_1(1855)\to\eta\eta') \approx 15\%$ is consistent with the experimental results, which again supports the molecular explanation of $\eta_1(1855)$. Relevant systems, namely $K\bar K_1(1400)$ with $J^{PC}=1^{--}$ and $K\bar K_1(1270)$ with $J^{PC}=1^{-\pm}$, are also investigated, some of which can be searched for in the future experiments.

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Cited by 4 Pith papers

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

  1. Light tetraquark states with $J^{PC}=1^{--}$ from QCD sum rules

    hep-ph 2026-07 unverdicted novelty 5.0

    QCD sum rules yield lowest masses of 1.53-2.34 GeV for light 1^{--} tetraquarks across isoscalar, isovector and isotensor sectors plus one 1^{-+} isotensor mass of 2.19 GeV.

  2. Interaction and correlation functions for $\pi f_1(1285)$, $\eta f_1(1285)$

    hep-ph 2026-05 conditional novelty 5.0

    Using the fixed-center approximation, the π⁰(η) f₁(1285) interaction yields scattering parameters and correlation functions but no clear poles for the π₁(1400), π₁(1600), or η₁(1855) resonances, only a broad structure...

  3. Study of $\chi_{cJ}\to \eta \eta \eta^\prime$ via intermediate charmed meson loop mechanisms and its implications for non-observation of $\eta_1(1855)$ in $\chi_{cJ}$ decays

    hep-ph 2026-04 unverdicted novelty 4.0

    Charmed-meson loop calculations reproduce the branching fractions of chi_cJ to eta eta eta' and the absence of eta1(1855) signal in the eta eta' spectrum.

  4. 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...