Possible molecular states of D*s anti D*s system and Y(4140)

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