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 (4)

• 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
• 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

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