Z+ (4430) and analogous heavy flavor states

The proximity of Z(+) (4430) to the D*(D) over bar (1) threshold suggests that it may be a D*(D) over bar (1) molecular state. The D*(D) over bar (1) system has been studied dynamically from quark model, and state mixing effect is taken into account by solving the multichannel Schrodinger equation numerically. We suggest the most favorable quantum number is J(P) = 0(-), if future experiments confirm Z(+) (4430) as a loosely bound molecule state. More precise measurements of Z(+) (4430) mass and width, partial wave analysis are helpful to understand its structure. The analogous heavy flavor mesons Z(bb)(+) and Z(bc)(++) are studied as well, and the masses predicted in our model are in agreement with the predictions from potential model and QCD sum rule. We further apply our model to the D (D) over bar* and DD* system. We find the exotic DD* bound molecule does not exist, while the 1(++) D (D) over bar* bound state solution can be found only if the screening mass mu is smaller than 0.17 GeV. The state mixing effect between the molecular state and the conventional charmonium should be considered to understand the nature of X(3872).