Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark

Abstract

We present the first full-fledged study of the flavor-exotic isoscalar $T_{bb}^{-}\equiv bb\bar{u}\bar{d}$ tetraquark with spin and parity $J^P=1^{+}$. We report accurate solutions of the four-body problem in a quark model, characterizing the structure of the state as a function of the ratio $M_Q/m_q$ of the heavy to light quark masses. For such a standard constituent model, $T_{bb}^{-}$ lies approximately 150 MeV below the strong decay threshold $B^{-}{\overline{B^{\ast }}}^0$ and 105 MeV below the electromagnetic decay threshold $B^{-}{\bar{B}}^0\gamma$. We evaluate the lifetime of $T_{bb}^{-}$, identifying the promising decay modes where the tetraquark might be looked for in future experiments. Its total decay width is $\Gamma \approx 87\times 10^{-15}$ GeV and therefore its lifetime $\tau \approx$ 7.6 ps. The promising final states are ${B^{\ast }}^{-}{D^{\ast }}^{+}{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\overline{B^{\ast }}}^0{D^{\ast }}^0{\ell }^{-}{\bar{\nu }}_{\ell }$ among the semileptonic decays, and ${B^{\ast }}^{-}{D^{\ast }}^{+}{D_s^{\ast }}^{-}$, ${\overline{B^{\ast }}}^0{D^{\ast }}^0{D_s^{\ast }}^{-}$, and ${B^{\ast }}^{-}{D^{\ast }}^{+}{\rho }^{-}$ among the nonleptonic ones. The semileptonic decay to the isoscalar $J^P=0^{+}$ tetraquark $T_{bc}^0$ is also relevant but it is not found to be dominant. There is a broad consensus about the existence of this tetraquark, and its detection will validate our understanding of the low-energy realizations of Quantum Chromodynamics (QCD) in the multiquark sector.

arXiv comment13 latex pages, 5 figures, 7 tables. 3 new references added

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Cited by in corpus (38)

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• Tetra- and penta-quark structures in the constituent quark model
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Doubly-heavy tetraquarks
• A study of $cc\bar{c}\bar{c}$ tetraquark decays in 4 muons and in $D^{(\ast )}{\bar{D}}^{(\ast )}$ at LHC
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• A lattice investigation of exotic tetraquark channels
• Double-heavy tetraquark states with heavy diquark-antiquark symmetry
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
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• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• Doubly heavy tetraquarks in a chiral-diquark picture
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
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• Doubly Heavy Tetraquarks in the Born-Oppenheimer approximation
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• Heavy exotic scalar meson $T_{bb;\bar{u}\bar{s}}^{-}$
• 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 $T_{bb;\bar{u}\bar{s}}^{-}$
• Triply-heavy tetraquarks in an extended relativized quark model
• Stable scalar tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Doubly charmed multibaryon systems
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• Flavor Exotic Triply-Heavy Tetraquark States in AdS/QCD Potential
• Doubly heavy tetraquark states in a mass splitting model
• Hidden-flavor pentaquarks
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Determination of the spectroscopic parameters of beauty-partners of $T_{cc}$ from QCD
• Rare decays of the positronium ion and molecule, ${\text{Ps}}^{-}\to e^{-}\gamma$ and ${\text{Ps}}_2\to e^{+}{e}^{-}\gamma ,\gamma \gamma ,e^{+}{e}^{-}$
• Tetraquark mass relations in quark and diquark models
• Hidden and open heavy-flavor hadronic states
• Exotic Heavy Hadrons
• Pauli principle forbids ${\Omega }_{QQQ}{\Omega }_{QQQ}{\Omega }_{QQQ}$ bound states
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• Lifetime and dominant decay modes of the tetraquark with double beauty $bb\bar{u}\bar{d}$