Possible molecular states of D*S(D)over-bar*S system and Y(4140)

The interpretation of Y(4140) as a D*(S)(D) over bar*(S) molecule is studied dynamically in the one boson exchange approach, where sigma, eta and phi exchange are included. Ten allowed D*(S)(D) over bar*(S) states with low spin parity are considered, and we find that the J(PC) = 0(++), 1(+-), 0(-+), 2(++) and 1(--) D*(S)(D) over bar*(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)(D) over bar*(S) molecule; however, J(PC) = 0(-+) and 2(++) cannot be excluded. We propose to search for the 1(+-) and 1(--) partners in the J/psi eta and J/psi eta' final states, which is an important test of the molecular hypothesis of Y(4140) and the reasonability of our model. The 0(++) Y molecule should be deeply bound; experimental search in the Gamma(1S)phi channel at Tevatron and LHC is suggested.