Heavy exotic scalar meson $T_{bb;\bar{u}\bar{s}}^{-}$

Abstract

The spectroscopic parameters and decay channels of the scalar tetraquark $T_{bb;\overline{u}\overline{s}}^{-}$ (in what follows $T_{b:\overline{s}}^{-}$) are investigated. The mass and coupling of the $T_{b:s}^{-}$ are calculated using the two-point sum rules by taking into account quark, gluon and mixed vacuum condensates up to dimension 10. Our result for its mass $m=(10250\pm 270)\mathrm{MeV}$ demonstrates that $T_{b:\overline{s}}^{-}$ is stable against the strong and electromagnetic decays. Therefore to find the width and mean lifetime of the $T_{b:\overline{s}}^{-}$, we explore its dominant weak decays generated by the transition $b\to W^{-}c$. These channels embrace the semileptonic decay $T_{b:\overline{s}}^{-}\to Z_{bc;\overline{u}\overline{s}}^{0}l{\overline{\nu }}_l$ and nonleptonic modes $T_{b:\overline{s}}^{-}\to Z_{bc;\overline{u}\overline{s}}^0{\pi }^{-}(K^{-},D^{-},D_s^{-})$, which at the final state contain the scalar tetraquark $Z_{bc;\overline{u}\overline{s}}^0$. Key quantities to compute partial widths of the weak decays are the form factors $G_1(q^2)$ and $G_2(q^2)$: they determine differential rate $d\Gamma /d{q}^2$ of the semileptonic and partial widths of the nonleptonic processes, respectively. These form factors are extracted from relevant three-point sum rules at momentum transfers $q^2$ accessible for such analysis. By means of the fit functions $F_{1(2)}(q^2)$ they are extrapolated to cover the whole integration region $m_l^2\le q2\le (m-\tilde{m}{)}^2$, where $\tilde{m}$ is the mass of $Z_{bc;\overline{u}\overline{s}}^0$. Predictions for the full width ${\Gamma }_{\mathrm{full}}=(15.21\pm 2.59)\times 10^{-10}\mathrm{MeV}$ and mean lifetime $4.33_{-0.63}^{+0.89}\times 10^{-13}\mathrm{s}$ of the $T_{b:s}^{-}$ are useful for experimental and theoretical investigations of this exotic meson.

arXiv comment14 Pages, 5 Figures and 2 Tables

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• Heavy flavor molecular states with strangeness
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$
• X(2900) in a chiral quark model
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Stable scalar tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Doubly heavy tetraquark states in a mass splitting model
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$