A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$

Abstract

The spectroscopic parameters and decay channels of the axial-vector tetraquark $T_{bb;\overline{u}\overline{s}}^{-}$ (in what follows, $T_{b:\overline{s}}^{\mathrm{AV}}$) are explored using the quantum chromodynamics (QCD) sum rule method. The mass and coupling of this state are calculated using two-point sum rules by taking into account various vacuum condensates, up to 10 dimensions. Our prediction for the mass of this state $m=(10215\pm 250)\mathrm{MeV}$ confirms that it is stable with respect to strong and electromagnetic decays and can dissociate to conventional mesons only via weak transformations. We investigate the dominant semileptonic $T_{b:\overline{s}}^{\mathrm{AV}}\to {\mathcal{Z}}_{b:\overline{s}}^{0}l{\overline{\nu }}_l$ and nonleptonic $T_{b:\overline{s}}^{\mathrm{AV}}\to {\mathcal{Z}}_{b:\overline{s}}^{0}M$ decays of $T_{b:\overline{s}}^{\mathrm{AV}}$. In these processes, ${\mathcal{Z}}_{b:\overline{s}}^0$ is a scalar tetraquark $[bc][\overline{u}\overline{s}]$ built of a color-triplet diquark and an antidiquark, whereas $M$ is one of the vector mesons ${\rho }^{-}$, $K^{\ast }(892)$, $D^{\ast }(2010{)}^{-}$, and $D_s^{\ast -}$. To calculate the partial widths of these decays, we use the QCD three-point sum rule approach and evaluate the weak transition form factors $G_i$ $(i=0,1,2,3)$, which govern these processes. The full width ${\Gamma }_{\mathrm{full}}=(12.9\pm 2.1)\times 10^{-8}\mathrm{MeV}$ and the mean lifetime $\tau =5.1_{-0.71}^{+0.99}\mathrm{fs}$ of the tetraquark $T_{b:\overline{s}}^{\mathrm{AV}}$ are computed using the aforementioned weak decays. The obtained information about the parameters of $T_{b:\overline{s}}^{\mathrm{AV}}$ and ${\mathcal{Z}}_{b:\overline{s}}^0$ is useful for experimental investigations of these double-heavy exotic mesons.

arXiv comment14 Pages, 5 Figures and 3 Tables. To be published in Chinese Physics C

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• A survey of heavy-heavy hadronic molecules
• Newly observed exotic doubly charmed meson $T_{cc}^{+}$
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• Doubly heavy tetraquarks in a chiral-diquark picture
• Exploring fully heavy scalar tetraquarks $QQ\overline{Q}\overline{Q}$
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• 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
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• 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
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$