Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states

Abstract

We study the interaction of the doubly bottom systems $BB$, $B^{\ast }B$, $B_{s}B$, $B_s^{\ast }B$, $B^{\ast }{B}^{\ast }$, $B^{\ast }{B}_s$, $B^{\ast }{B}_s^{\ast }$, $B_s{B}_s$, $B_s{B}_s^{\ast }$, $B_s^{\ast }{B}_s^{\ast }$ by means of vector meson exchange with Lagrangians from an extension of the local hidden gauge approach. The full s-wave scattering matrix is obtained implementing unitarity in coupled channels by means of the Bethe-Salpeter equation. We find poles below the channel thresholds for the attractively interacting channels $B^{\ast }B$ in $I=0$, $B_s^{\ast }B-B^{\ast }{B}_s$ in $I=\frac{1}{2}$, $B^{\ast }{B}^{\ast }$ in $I=0$, and $B_s^{\ast }{B}^{\ast }$ in $I=\frac{1}{2}$, all of them with $J^P=1^{+}$. For these cases the widths are evaluated identifyng the dominant source of imaginary part. We find binding energies of the order of $10-20$ MeV, and the widths vary much from one system to the other: of the order of 10-100 eV for the $B^{\ast }B$ system and $B_s^{\ast }B-B^{\ast }{B}_s$, about $6$ MeV for the $B^{\ast }{B}^{\ast }$ system and of the order of $0.5$ MeV for the $B_s^{\ast }{B}^{\ast }$ system.

23 pages, 10 figures

References in corpus (18)

• A survey of heavy-heavy hadronic molecules
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• BB Potentials in Quenched Lattice QCD
• Photon induced Lambda(1520) production and the role of the K^* exchange
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Perfect $D{D}^{\ast }$ molecular prediction matching the $T_{cc}$ observation at LHCb
• Colour and baryon number fluctuation of preconfinement system in production process and T_cc structure
• Production of the $T_{cc}^{+}$ state in the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$

Cited by in corpus (15)

• An updated review of the new hadron states
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Bottomonium-like tetraquarks in a chiral quark model
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions