Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model

Abstract

We calculate the mass spectrum of the $Qs\bar{q}\bar{q}$ $(Q=c,b)$ tetraquark states with $J^P=(0,1,2{)}^{+}$ using the AL1 quark potential model, which successfully describes the conventional hadron spectrum. We employ the Gaussian expansion method to solve the four-body Schrödinger equation, and use the complex scaling method to identify the resonances. With the notation $T_{Qs,I(J)}^{\text{Theo. }}(M)$, we find several near-threshold bound states and resonances, including $T_{cs,0(0)}^{Theo.}(2350)$, $T_{cs,0(0)}^{Theo.}(2906)$, $T_{bs,0(0)}^{Theo.}(5781)$, $T_{bs,0(1)}^{Theo.}(5840)$, and $T_{bs,0(0)}^{Theo.}(6240)$ which are close to the $D\bar{K}$, $D^{\ast }{\bar{K}}^{\ast }$, $\bar{B}\bar{K}$, ${\bar{B}}^{\ast }\bar{K}$ and ${\bar{B}}^{\ast }{\bar{K}}^{\ast }$ thresholds, respectively. Furthermore, their spatial structures clearly support their molecular natures. The resonance $T_{cs,0(0)}^{Theo.}(2906)$ has a mass of $2906$ MeV, a width of $20$ MeV, and quantum numbers $I(J^P)=0(0^{+})$, which may serve as a good candidate for the experimental $T_{cs0}(2900)$ state. We strongly urge the experimental search of the predicted states.

9 pages, 4 figures, 3 tables. Version accepted by PRD

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• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Trilepton and tetralepton bound and resonant states: the QED counterpart of multiquark states
• Fully charmed P-wave tetraquark resonant states in the quark model
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
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• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Bound and Resonant States of Muonic Few-Body Coulomb Systems: Extended Stochastic Variational Approach