We present that, if unitarizing the B ( * ) B ( * ) scattering amplitudes in the constituent interchange model, one can find two bound state poles for (Itot, Stot) = (0, 1) BB * and B * B * system, which corresponds to two I(J P ) = 0(1 + ) doubly bottomed molecular states. Furthermore, it is noticed that the virtual states in (1, 0) BB, (systems could produce enhancements of the module squares of the scattering T -matrix just above the related thresholds, which might correspond to I(J P ) = 1(0 + ), 1(1 + ), and 1(2 + ) doubly bottomed molecular states, respectively. The calculation may be helpful for searching for the doubly bottomed molecular state in future experiments.

We present that the X(3872) could be represented as a dynamically generated state in the extended Friedrichs scheme, in which the ratio of "elementariness" and "compositeness" of the different components in the X( 3872) is about Zcc :(2.67 ∼ 8.85) : (0.45 ∼ 0.46) : 0.04. Furthermore, its decays to π 0 and a P -wave charmonium χ cJ state with J = 0, 1, or 2, J/ψπ + π − , and J/ψπ + π − π 0 could be calculated out with the help of Barnes-Swanson model. The isospin breaking effects is easily understood in this scheme. This calculation also shows that the decay rate of X(3872) to χ c1 π 0 is much smaller than its decay rate to J/ψπ + π − .

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