Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$

Abstract

In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $D^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B^{(\ast )}{\bar{B}}_s^{(\ast )}$, $D_s^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_s^{(\ast )}{\bar{B}}_s^{(\ast )}$, $D^{(\ast )}{D}_s^{(\ast )}$/$B^{(\ast )}{B}_s^{(\ast )}$, and $D_s^{(\ast )}{D}_s^{(\ast )}$/$B_s^{(\ast )}{B}_s^{(\ast )}$ in a quasipotential Bethe-Salpeter equation approach. The interactions of the systems considered are described within the one-boson-exchange model, which includes exchanges of light mesons and $J/\psi /{\rm Y}$ meson. Possible molecular states are searched for as poles of scattering amplitudes of the interactions considered. The results suggest that recently observed $Z_{cs}(3985)$ can be assigned as a molecular state of $D^{\ast }{\bar{D}}_s+D{\bar{D}}_s^{\ast }$, which is a partner of $Z_c(3900)$ state as a $D{\bar{D}}^{\ast }$ molecular state. The calculation also favors the existence of hidden heavy states $D_s{\bar{D}}_s/B_s{\bar{B}}_s$ with spin parity $J^P=0^{+}$, $D_s{\bar{D}}_s^{\ast }/B_s{\bar{B}}_s^{\ast }$ with $1^{+}$, and $D_s^{\ast }{\bar{D}}_s^{\ast }/B_s^{\ast }{\bar{B}}_s^{\ast }$ with $0^{+}$, $1^{+}$, and $2^{+}$. In the doubly heavy sector, the bound states can be found from the interactions $(D^{\ast }{D}_s+D{D}_s^{\ast })/(B^{\ast }{B}_s+B{B}_s^{\ast })$ with $1^{+}$, $D_s{\bar{D}}_s^{\ast }/B_s{\bar{B}}_s^{\ast }$ with $1^{+}$, $D^{\ast }{D}_s^{\ast }/B^{\ast }{B}_s^{\ast }$ with $1^{+}$ and $2^{+}$, and $D_s^{\ast }{D}_s^{\ast }/B_s^{\ast }{B}_s^{\ast }$ with $1^{+}$ and $2^{+}$. Some other interactions are also found attractive, but may be not strong enough to produce a bound state. The results in this work are helpful for understanding the $Z_{cs}(3985)$, and future experimental search for the new molecular states.

1 figure, 11 pages

References in corpus (15)

• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• X(3872) and Other Possible Heavy Molecular States
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Study of the $Z_c^{+}$ channel using lattice QCD
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• $Z_b/Z_b^{\prime }\to {\rm Y}\pi$ and $h_b\pi$ decays in intermediate meson loops model
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• Explanation of the newly obseaved $Z_{cs}^{-}(3985)$ as a $D_s^{(\ast )-}{D}^{(\ast )0}$ molecular state

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• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
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• Double-heavy tetraquarks with strangeness in the chiral quark model
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• Possible molecular states from interactions of charmed baryons
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$