Tetraquark bound states in constituent quark models: benchmark test calculations

Abstract

We investigate the tetraquark bound states that are manifestly exotic using three distinct few-body methods: Gaussian Expansion Method (GEM), Resonating Group Method (RGM), and Diffusion Monte Carlo (DMC). We refer to manifestly exotic states that do not involve a mixture with the conventional mesons through the creation and annihilation of $n\bar{n}$, where $n=u,d$. Our calculations are conducted with two types of quark models: the pure constituent quark model featuring one-gluon-exchange interactions and confinement interactions, and the chiral constituent quark model, supplemented by extra one-boson-exchange interactions. This study represents a comprehensive benchmark test of various few-body methods and quark models. Our findings reveal the superiority of GEM over RGM and DMC methods based on present implements for the tetraquark bound states. Additionally, we observe a tendency for the chiral quark model to overestimate the binding energies. We systematically explore the fully, triply, doubly, and singly heavy tetraquark states with $J^P=0^{+},1^{+},2^{+}$, encompassing over 150 states in total. We successfully identify several bound states, including $[cc\bar{n}\bar{n}{]}_{J^P=1^{+}}^{I=0}$, $[bb\bar{n}\bar{n}{]}_{J^P=1^{+}}^{I=0}$, $[bc\bar{n}\bar{n}{]}_{J^P=0^{+},1^{+},2^{+}}^{I=0}$, $[bs\bar{n}\bar{n}{]}_{J^P=0^{+},1^{+}}^{I=0}$, $[cs\bar{n}\bar{n}{]}_{J^P=0^{+}}^{I=0}$, and $[bb\bar{n}\bar{s}{]}_{J^P=1^{+}}$, all found to be bound states below the dimeson thresholds.

15 pages, 7 figures and 5 Tables. Version accepted by PRD

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• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
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• Doubly heavy tetraquark states in a mass splitting model
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
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• Fully heavy tetraquark resonant states with different flavors
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• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Systematic analysis of the mass spectra of triply heavy baryons
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
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• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
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