Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$

Abstract

Inspired by the recent observation of a very narrow state, called $T_{cc}^{+}$, by the LHCb collaboration, the possible bound states and low-lying resonance states of the doubly heavy tetraquark states $cc\bar{u}\bar{d}$ ($T_{cc}$) and $bb\bar{u}\bar{d}$ ($T_{bb}$) are searched in the framework of chiral quark model with an accurate few body method, Gaussian expansion method. The real scaling method is also applied to identify the genuine resonance states. In the calculation, the meson-meson structure, diquark-antidiquark structure, as well as their coupling are all considered. The numerical results show that (i) for $T_{cc}$ and $T_{bb}$, only $I(J^P)=0(1^{+})$ states are bound in different quark structures. The binding energy varies from a few MeV for meson-meson structure to over 100 MeV for diquark-antidiquark structure. For example for $T_{cc}$, in meson-meson structure, there exists a weakly bound molecule $D{D}^{\ast }$ state around 3841.4 MeV, 1.8 MeV below the $D^0{D}^{\ast +}$, which may be a good candidate of the observed state by LHCb; however in diquark-antidiquark structure, a deeper bound sate with mass 3700.9 MeV is obtained; when considering the structure mixing, the energy of system decreases to 3660.7 MeV and the shallow bound state disappears. (ii) Besides bound states, several resonance states for $T_{QQ}(Q=c,b)$ with $I(J^P)=1(0^{+}),1(1^{+}),1(2^{+}),0(1^{+})$ are proposed.

12 pages, 10 figures

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Cited by in corpus (16)

• An updated review of the new hadron states
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Double-charm tetraquark under the complex scaling method
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Doubly heavy tetraquark states in a mass splitting model
• Double-heavy tetraquarks with strangeness in the chiral quark model
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$