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$Z_{cs}$ states from the $D^{*}_s \bar D^*$ and $J/ψK^*$ coupled channels: Signal in $B^+ \to J/ψϕK^+$ decay

We study the $D^{*}_s \bar D^*$ system in connection with the $J/ψK^*$ in coupled channels and observe that, within reasonable values of the cut-off used to regularize the loops, the system does not develop a bound state. However, the $J^P = 2^+$ channel has enough attraction to create a strong cusp structure that shows up in the $J/ψK^+$ invariant mass distribution in the $B^+ \to J/ψϕK^+$ decay at the $D^*_s \bar D^*$ threshold. Such structure is visible in the experimental $B^+ \to J/ψϕK^+$ and $\bar B^0 \to J/ψK^+ K^-$ decays, with small statistics, and our results should stimulate further measurements around this region, given the fact that cusp effects provide as valuable information on hadron dynamics as resonances themselves.

preprint2022arXivOpen access
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