Abstract

Using the local hidden gauge approach, we study the possibility of the existence of bottomed strange molecular states with isospin 0. We find three bound states with spin-parity $0^+$, $1^+$ and $2^+$ generated by the $\bar{K}^*B^*$ and $\omega B_s^*$ interaction, among which the state with spin 2 can be identified as $B_{s2}^*(5840)$. In addition, we also study the $\bar{K}^*B$ and $\omega B_s$ interaction and find a bound state which can be associated to $B_{s1}(5830)$. Besides, the $\bar{K}B^*$ and $\eta B_s^*$ and $\bar{K}B$ and $\eta B_s$ systems are studied, and two bound states are predicted. We expect that further experiments can confirm our predictions.

Highlights

  • We find three bound states with spin parity 0þ, 1þ, and 2þ generated by the K ÃBÃ and ωBÃs interaction, among which the state with spin 2 can be identified as BÃs2ð5840Þ

  • The local hidden gauge symmetry was introduced in Refs. [1,2,3,4] which regards vector mesons as the gauge bosons and pseudoscalar mesons as the Goldstone bosons

  • As mentioned in the previous subsection, the Bs1ð5830Þ cannot be explained as the K ÃBÃ bound state with spin 1, since in the Particle Data Group (PDG) the mass of Bs1ð5830Þ is smaller than that of BÃs2ð5840Þ, which is contrary to our results

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Summary

INTRODUCTION

The local hidden gauge symmetry was introduced in Refs. [1,2,3,4] which regards vector mesons as the gauge bosons and pseudoscalar mesons as the Goldstone bosons. [6] with a mass and width around 1800 and 80 MeV, respectively. This state, h1ð1800Þ, is dynamically generated from the KÃK Ã interaction, and it was investigated in the process J=ψ → ηKÃ0K Ã0 in Ref. BÃs2ð5840Þ was observed by both the CDF and D0 collaborations in the BþK− channel [16,17,18]. The LHCb Collaboration first measured the mass and width of BÃs2ð5840Þ in the BÃþK− channel.

Lagrangian
BÃ and K Ã interaction
BK Ã and BÃKinteractions
B and Kinteraction
T matrix
RESULTS
The K ÃBÃ system
The K ÃB system
Other predictions
SUMMARY

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