Weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$

Abstract

The weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$ to the scalar state $Z_{bc;\bar{u}\bar{d}}^0$ are investigated using the QCD three-point sum rule approach. In order to explore the process $T_{bb;\bar{u}\bar{d}}^{-}\to Z_{bc;\bar{u}\bar{d}}^{0}l\overline{{\nu }_l}$, we recalculate the spectroscopic parameters of the tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$ and find the mass and coupling of the scalar four-quark system $Z_{bc;\bar{u}\bar{d}}^0$, which are important ingredients of calculations. The spectroscopic parameters of these tetraquarks are computed in the framework of the QCD two-point sum rule method by taking into account various condensates up to dimension ten. The mass of the $T_{bb;\bar{u}\bar{d}}^{-}$ state is found to be $m=(10035\pm 260)\mathrm{MeV}$, which demonstrates that it is stable against the strong and electromagnetic decays. The full width $\Gamma$ and mean lifetime $\tau$ of $T_{bb;\bar{u}\bar{d}}^{-}$ are evaluated using its semileptonic decay channels $T_{bb;\bar{u}\bar{d}}^{-}\to Z_{bc;\bar{u}\bar{d}}^{0}l\overline{{\nu }_l}$, $l=e,\mu$ and $\tau$. The obtained results, $\Gamma =(7.17\pm 1.23)\times 10^{-8}\mathrm{MeV}$ and $\tau =9.18_{-1.34}^{+1.90}\mathrm{fs}$, can be useful for experimental investigations of the doubly-heavy tetraquarks.

11 Pages, 4 Figures and 2 Tables

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• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
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• Strong decays of double-charmed pseudoscalar and scalar $cc\overline{u}\overline{d}$ tetraquarks
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$
• Heavy exotic scalar meson $T_{bb;\bar{u}\bar{s}}^{-}$
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$
• Double-heavy axial-vector tetraquark $T_{bc;\bar{u}\bar{d}}^0$
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Stable scalar tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Semileptonic decays of the scalar tetraquark $Z_{bc;\overline{u}\overline{d}}^0$
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• Decay modes of the scalar exotic meson $T_{bs;\overline{u}\overline{d}}^{-}$
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Hidden and open heavy-flavor hadronic states
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$