Dynamical Study of S-Wave (Q)over-barQ(q)over-barq System

The spectrum of the S-wave Q Qq q (where Q = c, b and q = u, d, s) system are studied within two constituent quark models. The bound states of B * B * with I (J PC) = 1(0 ++), 1(1 +-), 0(2 ++) and B B * with isospin I = 1, or 0 are obtained in color-singlet-singlet channel. If considering the coupling of color channels, apart from the deep bound states appear in [ b q](*)[ q b](*) scenario, a bound state [ c q]*[ q c]* with I (J PC) = 1(0 ++) is also formed. The B B * and the B * B * with quantum number 1(1 +-) are good candidates for Z +/- b (10,610) and Z +/- b (10,650) reported by Belle Collaboration respectively, while the B B * with isospin 0 can be interpret as a candidate for Z0 b(10,610). A bound state [ c q]*[ q c]* with I (J PC) = 1(0 ++) may be found in the e + e -. D * D * pp channel in the future by BES and other experimental collaborations.