Abstract
Inspired by the ${T}_{cc}^{+}$ signal discovered by the LHCb Collaboration, we systematically investigate the doubly heavy tetraquark states with the molecule configuration $[{Q}_{1}{\overline{q}}_{2}{]}_{{\mathbf{1}}_{c}}[{Q}_{3}{\overline{q}}_{4}{]}_{{\mathbf{1}}_{c}}$ ($Q=c$ and $b$, $q=u$, $d$, and $s$) in a nonrelativistic quark model. The model involves a color screening confinement potential, meson-exchange interactions, and one-gluon-exchange interactions. The state ${T}_{cc}^{+}$ with $I{J}^{P}=0{1}^{+}$ is a very loosely bound deuteronlike state with a binding energy around 0.34 MeV and a huge size of 4.32 fm. Both the meson exchange force and the coupled channel effect play a pivotal role. Without the meson exchange force, there does not exist the ${T}_{cc}^{+}$ molecular state. In strong contrast, the QCD valence bond forms clearly in the ${T}_{bb}^{\ensuremath{-}}$ system when we turn off the meson-exchange force, which is very similar to the hydrogen molecule in QED. Moreover, the ${T}_{bb}^{\ensuremath{-}}$ becomes a heliumlike QCD-atom if we increase the bottom quark mass by a factor of three. Especially, the states ${T}_{bb}^{\ensuremath{-}}$ with ${01}^{+}$, ${T}_{bc}^{0}$ with ${00}^{+}$ and ${01}^{+}$, and the $V$-spin antisymmetric states ${T}_{bbs}^{\ensuremath{-}}$ with $\frac{1}{2}{1}^{+}$, ${T}_{bcs}^{0}$ with $\frac{1}{2}{0}^{+}$ and $\frac{1}{2}{1}^{+}$ can form a compact, hydrogen moleculelike or deuteronlike bound state with different binding dynamics. The high-spin states ${T}_{bc}^{0}$ with ${02}^{+}$ and ${T}_{bcs}^{0}$ with $\frac{1}{2}{2}^{+}$ can decay into $D$-wave $\overline{B}D$ and ${\overline{B}}_{s}D$ although they are below the thresholds ${\overline{B}}^{*}{D}^{*}$ and ${\overline{B}}_{s}^{*}{D}^{*}$, respectively. The isospin and $V$-spin symmetric states are unbound. We also calculate their magnetic moments and axial charges.
Highlights
The theoretical explorations on the possible stable doubly heavy tetraquark states were pioneered in the early 1980s [1]
Inspired by the Tþcc signal discovered by the LHCb Collaboration, we systematically investigate the doubly heavy tetraquark states with the molecule configuration 1⁄2Q1q 21c 1⁄2Q3q 41c (Q 1⁄4 c and b, q 1⁄4 u, d, and s) in a nonrelativistic quark model
The quantum chromodynamics (QCD) valence bond forms clearly in the T−bb system when we turn off the meson-exchange force, which is very similar to the hydrogen molecule in QED
Summary
The theoretical explorations on the possible stable doubly heavy tetraquark states were pioneered in the early 1980s [1]. The discovery of the doubly charmed baryon Ξþccþ by the LHCb Collaboration [10] has stimulated the enthusiasms on the doubly heavy tetraquark states [11–24]. Eb 1⁄4 −361 Æ 40 keV; Γ 1⁄4 47.8 Æ 1.9 keV: The binding energy and decay width of the Tþcc signal match very well with the prediction of the DDÃ molecular state [27,28]. The discovery of the Tþcc shall open a new gate for a family of the Tþcc-like doubly heavy tetraquark, pentaquark and hexaquark states. The numerical results and discussions of the stable doubly heavy tetraquark states are presented .
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