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.

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

References in corpus (14)

• Multiquark Resonances
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Exotic meson-meson molecules and compact four--quark states
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Stability of tetrons
• Exotic $bc\bar{q}\bar{q}$ four-quark states
• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Stable heavy pentaquarks in constituent models

Cited by in corpus (30)

• Tetra- and penta-quark structures in the constituent quark model
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Doubly-heavy tetraquarks
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• 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
• Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b}\bar{c}ud$ in $B$-$\bar{D}$ and $B^{\ast }$-$\bar{D}$ Scattering from Lattice QCD
• 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 $D^{\ast }{D}^{\ast }{D}^{\ast }$
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Triply-heavy tetraquarks in an extended relativized quark model
• 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
• Tetraquark mass relations in quark and diquark models
• Rare decays of the positronium ion and molecule, ${\text{Ps}}^{-}\to e^{-}\gamma$ and ${\text{Ps}}_2\to e^{+}{e}^{-}\gamma ,\gamma \gamma ,e^{+}{e}^{-}$
• Hidden and open heavy-flavor hadronic states
• Exotic Heavy Hadrons
• Pauli principle forbids ${\Omega }_{QQQ}{\Omega }_{QQQ}{\Omega }_{QQQ}$ bound states
• Mass-Spectroscopy of [$bb][\bar{b}\bar{b}$] and [$bq][\bar{b}\bar{q}$] tetraquark states in a diquark-antidiquark formalism
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Lifetime and dominant decay modes of the tetraquark with double beauty $bb\bar{u}\bar{d}$