Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)

Abstract

The interpretation of Y(4140) as a $D_s^{\ast }{\bar{D}}_s^{\ast }$ molecule is studied dynamically in the one boson exchange approach, where $\sigma$, $\eta$ and $\varphi$ exchange are included. Ten allowed $D_s^{\ast }{\bar{D}}_s^{\ast }$ states with low spin parity are considered, we find that the $J^{PC}=0^{++}$, $1^{+-}$, $0^{-+}$, $2^{++}$ and $1^{--}$ $D_s^{\ast }{\bar{D}}_s^{\ast }$ configurations are most tightly bound. We suggest the most favorable quantum numbers are $J^{PC}=0^{++}$ for Y(4140) as a $D_s^{\ast }{\bar{D}}_s^{\ast }$ molecule, however, $J^{PC}=0^{-+}$ and $2^{++}$ can not be excluded. We propose to search for the $1^{+-}$ and $1^{--}$ partners in the $J/\psi \eta$ and $J/\psi {\eta }^{\prime }$ final states, which is an important test of the molecular hypothesis of Y(4140) and the reasonability of our model. The $0^{++}$ $B_s^{\ast }{\bar{B}}_s^{\ast }$ molecule is deeply bound, experimental search in the ${\rm Y}(1S)\varphi$ channel at Tevatron and LHC is suggested.

13 pages,2 figures

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Cited by in corpus (18)

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• Canonical description of the new LHCb resonances
• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
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• Analysis of the $B^{+}\to J/\psi \varphi K^{+}$ data at low $J/\psi \varphi$ invariant masses and the $X(4140)$ and $X(4160)$ resonances
• Search for the $Y(4140)$ via $e^{+}{e}^{-}\to \gamma \varphi J/\psi$ at $\sqrt{s}=$ 4.23, 4.26 and 4.36 GeV
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• Where are ${\chi }_{cJ}(3P)$?
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• Mass spectra of meson molecular states for heavy and light sectors
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