October 5, 2025Open Access

Singly heavy tetraquark resonant states with multiple strange quarks

Key Points

Several resonances with quantum numbers $J^P=0^+,2^+$ were discovered, suggesting new configurations in heavy tetraquarks.
Resonance pole positions are found mainly around 7.0-7.2 GeV for bottom and 3.7-3.9 GeV for charm states, indicating their energy profiles.
The analysis utilized the Gaussian expansion method and complex scaling method, providing a robust framework for identifying tetraquark states.
These resonances decay into various mesonic channels, highlighting their relevance for future experimental searches.

Abstract

We systematically investigate the S-wave singly heavy tetraquark systems containing two or three strange quarks, Qsss, Qnss and Qssn (Q=c, b, n=u, d), within the constituent quark potential model. We solve the four-body Schrödinger equation using the Gaussian expansion method (GEM) and identify resonances via the complex scaling method (CSM). There are no bound states below the lowest two-meson thresholds. We obtain several compact resonances with JP=0^+, 2^+ in Qsss, and JP=2^+ in Qnss and Qssn. The pole positions are mainly distributed around 7. 0-7. 2 GeV (bottom) and 3. 7-3. 9 GeV (charm), with widths from a few to several tens of MeV. These resonances decay into Dₛη^, D (ₒ) ^*ϕ, Dₛ^*K^* and Dₛ^*K^* (and their bottom counterparts), providing targets for future experimental searches.

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