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

The D*(D) over bar* and B*(B) over bar* systems are studied dynamically in the one boson exchange model, where pi, eta, sigma, rho and ! 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) over bar* molecules should exist, and the D*(D) over bar* bound states with the same quantum numbers very likely exist as well. However, the CP exotic (1(-+), 2(+-)) B*(B) over bar* and D*(D) over bar* 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 Z(1)(+)(4050) may not be a D*(D) over bar* molecule. Although Y(4008) is close to the D*(D) over bar* threshold, the interpretation of Y(4008) as a D*(D) over bar* molecule is not favored by its huge width. 1(--) D*(D) over bar* and B*(B) over bar* states can be produced copiously in e(+)e(-) annihilation, detailed scanning of the e(+)e(-) annihilation data near the D*(D) over bar* and B*(B) over bar* threshold is an important check to our predictions.