The hidden strange $B_{c}$-like molecular states

TL;DR

This paper predicts six hidden strange $B_c$-like molecular states with small binding energies and narrow widths using the chiral unitary approach, aiding future experimental searches.

Contribution

It introduces a theoretical prediction of six new $B_c$-like molecular states with specific properties, expanding the understanding of heavy meson spectroscopy.

Findings

Six states below relevant channel thresholds

Binding energies around 1-10 MeV

Widths approximately 0.2-0.7 MeV

Abstract

With the chiral unitary approach, we evaluate the hidden strange $B_{c}$-like molecular states of $b\bar{c}s\bar{s}$ systems $\bar{B}_{s}\bar{D}_{s}$, $\bar{B}_{s}^{*}\bar{D}_{s}$, $\bar{B}_{s}\bar{D}_{s}^{*}$, and $\bar{B}_{s}^{*}\bar{D}_{s}^{*}$ coupled to the non-strange channels. The $S$-wave scattering amplitudes are calculated based on the vector meson exchange, four pseudoscalar mesons contact interactions, and four vector mesons contact interactions obtained from the extended local hidden gauge approach. We find six states below the threshold of the most relevant channel. The binding energies of these states are around $1-10$ MeV and the widths are around $0.2-0.7$ MeV. Our research is a supplement to the mass spectra of $B_{c}$-like states, which may be useful for the experimental search in the future.