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

TL;DR

This paper investigates the $Z_{cs}$ states from coupled channels involving $D^{*}_s ar D^*$ and $J/ar{ ext{psi}} K^*$, finding a cusp structure at the $D^{*}_s ar D^*$ threshold in $B^+$ decay, which could inform hadron dynamics.

Contribution

It demonstrates that the $J^P=2^+$ channel produces a cusp structure at the $D^{*}_s ar D^*$ threshold, providing insight into hadron interactions without forming a bound state.

Findings

No bound state forms within the regularization cut-off.

A strong cusp appears in the $J/ ext{psi} K^+$ invariant mass distribution.

Experimental data shows hints of this cusp in $B^+$ decay measurements.

Abstract

We study the $D^{*}_s \bar D^*$ system in connection with the $J/\psi K^*$ 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 $J/\psi K^+$ invariant mass distribution in the $B^+ \to J/\psi \phi K^+$ decay at the $D^*_s \bar D^*$ threshold. Such structure is visible in the experimental $B^+ \to J/\psi \phi K^+$ and $\bar B^0 \to J/\psi K^+ K^-$ 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.