Exotic molecular meson states of $B^{(\ast )}{K}^{(\ast )}$ nature

Abstract

We evaluate theoretically the interaction of the open bottom and strange systems $\bar{B}\bar{K}$, ${\bar{B}}^{\ast }\bar{K}$, $\bar{B}{\bar{K}}^{\ast }$ and ${\bar{B}}^{\ast }{\bar{K}}^{\ast }$ to look for possible bound states which could correspond to exotic non--quark-antiquark mesons since they would contain at least one $b$ and one $s$ quarks. The s-wave scattering matrix is evaluated implementing unitarity by means of the Bethe-Salpeter equation, with the potential kernels obtained from contact and vector meson exchange mechanisms. The vertices needed are supplied from Lagrangians derived from suitable extensions of the hidden gauge symmetry approach to the bottom sector. We find poles below the respective thresholds for isospin 0 interaction and evaluate the widths of the different obtained states by including the main sources of imaginary part, which are the $B^{\ast }\to B\gamma$ decay in the ${\bar{B}}^{\ast }\bar{K}$ channels, the $K^{\ast }\to K\pi$ in the channels involving a $K^{\ast }$, plus the box diagrams with $\bar{B}\bar{K}$ and ${\bar{B}}^{\ast }\bar{K}$ intermediate states for the ${\bar{B}}^{\ast }{\bar{K}}^{\ast }$ channels.

References in corpus (29)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• The inverse amplitude method in Chiral Perturbation Theory
• Low lying axial-vector mesons as dynamically generated resonances
• Dynamically generated resonances from the vector octet-baryon octet interaction
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Chiral Lagrangians for Radiative Decays of Heavy Hadrons
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Prediction of super-heavy $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden beauty
• Effective chiral Lagrangians for spin-1 mesons
• $D^{\ast }D\pi$ form factor revisited
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• Baryon states with open beauty in the extended local hidden gauge approach
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Triangle singularity as the origin of $X_0(2900)$ and $X_1(2900)$ observed in $B^{+}\to D^{+}{D}^{-}{K}^{+}$
• Analysis of the $X_0(2900)$ as the scalar tetraquark state via the QCD sum rules
• Strong decays of ${\bar{D}}^{\ast }{K}^{\ast }$ molecules and the newly observed $X_{0,1}$ states
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• Mass spectrum and strong decays of tetraquark $\bar{c}\bar{s}qq$ states
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range
• New scalar resonance $X_0(2900)$ as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecule: Mass and width
• An open charm tetraquark candidate: note on $X_0(2900)$
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• (D* to D + gamma) and (B* to B + gamma) as derived from QCD Sum Rules
• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$

Cited by in corpus (5)

• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Hadronic molecules with four charm or beauty quarks
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays