Possible molecular states of $D^{*}_{s}\bar{D}^{*}_{s}$ system and Y(4140)

Abstract

The interpretation of Y(4140) as a $D^{*}_{s}\bar{D}^{*}_{s}$ molecule is studied dynamically in the one boson exchange approach, where σ, η and φ exchange are included. Ten allowed $D^{*}_{s}\bar{D}^{*}_{s}$ states with low spin parity are considered, and we find that the J ^PC=0⁺⁺, 1⁺⁻, 0⁻⁺, 2⁺⁺ and 1⁻⁻ $D^{*}_{s}\bar{D}^{*}_{s}$ configurations are most tightly bound. We suggest that the most favorable quantum numbers are J ^PC=0⁺⁺ for Y(4140) as a $D^{*}_{s}\bar{D}^{*}_{s}$ molecule; however, J ^PC=0⁻⁺ and 2⁺⁺ cannot be excluded. We propose to search for the 1⁺⁻ and 1⁻⁻ partners in the J/ψ η and J/ψ η′ final states, which is an important test of the molecular hypothesis of Y(4140) and the reasonability of our model. The 0⁺⁺ $B^{*}_{s}\bar{B}^{*}_{s}$ molecule should be deeply bound; experimental search in the ϒ(1S)φ channel at Tevatron and LHC is suggested.