Abstract
We interpret the $B_{s1}(5778)$ as an $S$-wave $B^\ast\bar{K}$ molecular state in the Bethe-Salpeter equation approach. In the ladder and instantaneous approximations, and with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the vertex, we find the bound state exists. We also study the decay widths of the decay $B_{s1}(5778)\rightarrow B_s^\ast\pi$ and the radiative decays $B_{s1}(5778)\rightarrow B_s\gamma$ and $B_{s1}(5778)\rightarrow B_s^{\ast}\gamma$, which will be instructive for the forthcoming experiments.
Highlights
In the past decade, a lot of exotic hadrons were undoubtedly observed in experiments, like the X, Y, Z, and Pc states [1]
We studied the bottom-strange meson Bs1ð5778Þ with the hadronic molecule interpretation, i.e., regarding it as a bound state of BÃKmeson in the BS equation approach
Since Λ is controlled by nonperturbative QCD and cannot be determined accurately, we let it vary in a reasonable range within which we try to find possible bound states of the BÃKsystem
Summary
A lot of exotic hadrons were undoubtedly observed in experiments, like the X, Y, Z, and Pc states [1] (see detailed reviews in Refs. [2,3,4,5,6,7,8]). The masses of DÃs0ð2317Þ and Ds1ð2460Þ are about 160 and 70 MeV below the predicted 0þ and 1þ charm-strange mesons by the quark model [11,12], respectively. Since their masses are below the DK and DÃK thresholds by about 45 MeV, they are natural candidates for hadronic molecules. The inner structure, strong and radiative decays of DÃs0ð2317Þ and Ds1ð2460Þ in the molecule picture, have been studied in different approaches [13,14,15,16,17,18,19,20,21,22,23] such as the quark model, the effective Lagrangian approach, the Bethe-Salpeter (BS).
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