Bound states of the heavy flavor vector mesons and Y(4008) and Z1+(4050)

The D*D* and B*B* systems are studied dynamically in the one boson exchange model, where π, η, σ, ρ and ω exchanges are taken into account. Ten allowed states with low spin parity are considered. We suggest that the 1--, 2++, 0++ and 0-+ B*B* molecules should exist, and the D*D* bound states with the same quantum numbers very likely exist as well. However, the CP exotic (1-+,2+-) B*B* and D*D* states may not be bound by the one boson exchange potential. We find that the I=0 configuration is more deeply bound than the I=1 configuration, hence Z1+(4050) may not be a D*D* molecule. Although Y(4008) is close to the D*D* threshold, the interpretation of Y(4008) as a D*D* molecule is not favored by its huge width. 1-- D*D* and B*B* states can be produced copiously in e+e- annihilation, detailed scanning of the e+e- annihilation data near the D*D* and B*B* threshold is an important check to our predictions.