Singly heavy tetraquark resonant states with multiple strange quarks

We systematically investigate the S-wave singly heavy tetraquark systems containing two or three strange quarks, Q s s ¯ s ¯ , Q n s ¯ s ¯ , and Q s s ¯ n ¯ ( Q = c , b , n = u , d ) , within the constituent quark potential model. We solve the four-body Schrödinger equation using the Gaussian expansion method and identify resonances via the complex scaling method. There are no bound states below the lowest two-meson thresholds. We obtain several compact resonances with J P = 0 + , 2 + in Q s s ¯ s ¯ , and J P = 2 + in Q n s ¯ s ¯ and Q s s ¯ n ¯ . 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 D s η ′ , D ( s ) * ϕ , D s * K * , and D s * K ¯ * (and their bottom counterparts), providing targets for future experimental searches.