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.

arXiv comment1 figure, 11 pages

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