Studying the bound state of the $B\bar{K}$ system in the Bethe-Salpeter formalism

Abstract

In this work, we study the $B\bar{K}$ molecule in the Bethe-Salpeter (BS) equation approach. With the kernel containing one-particle-exchange diagrams and introducing two different form factors (monopole form factor and dipole form factor) in the vertex, we solve the BS equation numerically in the covariant instantaneous approximation. We investigate the isoscalar and isovector $B\bar{K}$ systems, and we find $X(5568)$ cannot be a $B\bar{K}$ molecule.

References in corpus (9)

• Multiquark Resonances
• Search for structure in the $B_s^0{\pi }^{\pm }$ invariant mass spectrum
• The electromagnetic form factors of the proton in the timelike region
• Search for the X(5568) state decaying into ${\mathrm{B}}_{\mathrm{s}}^0{\pi }^{\pm }$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays
• Where does the X(5568) structure come from?
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Resonance $X(5568)$ as an exotic axial-vector state
• How can $X^{\pm }(5568)$ escape detection?

Cited by in corpus (5)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Analytic approach to calculations of mass spectra and decay constants of heavy-light quarkonia in the framework of Bethe-Salpeter equation
• Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation
• Investigating $S$-wave bound states composed of two pseudoscalar mesons