Masses and widths of the exotic molecular B(s)(*)B(s)(*) states

We study the interaction of the doubly bottom systems BB, B*B, BsB, B-s*B, B*B*, B*B-S, B*B-s*, BsBs, BsBs*, B-s*B-s* 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*B in I = 0, B-s*B - B*B-s in I = 1/2, B* B* in I = 0, and B-s*B* in I = 1/2, all of them with J(P) = 1(+). For these cases the widths are evaluated identifying 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* B system and B-s*B - B* B-s, about 6 MeV for the B*B* system and of the order of 0.5 MeV for the B-s*B* system.

Automated summary

This study investigates the interaction between doubly bottom systems using vector meson exchange and Lagrangians derived from an extension of the local hidden gauge approach. The full s-wave scattering matrix is calculated using the Bethe-Salpeter equation and unitarity in coupled channels. Poles are found below channel thresholds for several attractive interacting channels, and the widths are evaluated by identifying the dominant source of imaginary part. The results show binding energies of around 10-20 MeV and varying widths for different systems.