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

Abstract

We study the $D_s^{\ast }{\bar{D}}^{\ast }$ system in connection with the $J/\psi K^{\ast }$ 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 $B^{+}\to J/\psi \varphi K^{+}$ decay at the $D_s^{\ast }{\bar{D}}^{\ast }$ threshold. Such structure is visible in the experimental $B^{+}\to J/\psi \varphi K^{+}$ 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.

14 pages, 11 figures, 1 table: minor modifications

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• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Unveiling the $K_1(1270)$ double-pole structure in the $\bar{B}\to J/\psi \rho \bar{K}$ and $\bar{B}\to J/\psi {\bar{K}}^{\ast }\pi$ decays
• Photoproduction of strange hidden-charm and hidden-bottom states
• The newly observed $Z_{cs}(3985{)}^{-}$ state: in vacuum and a dense medium
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Configuration mixing in strange tetraquarks $Z_{cs}$
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• The nature of charged charmonium-like states $Z_c(3900)$ and its strange partner $Z_{cs}(3982)$
• Study on $Z_{cs}$ and excited $B_s^0$ states in the chiral quark model
• Explanation of the newly obseaved $Z_{cs}^{-}(3985)$ as a $D_s^{(\ast )-}{D}^{(\ast )0}$ molecular state
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model

Cited by in corpus (10)

• An updated review of the new hadron states
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• Evidence of a $J/\psi K_S^0$ structure in $B^0\to J/\psi \varphi K_S^0$ decays
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Hadronic medium effects on $Z_{cs}(3985{)}^{-}$ production in heavy-ion collisions
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$