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We perform a coupled-channel study of the possible deuteron-like moleculeswith two heavy flavor quarks, including the systems of $D^{(*)}D^{(*)}$ withdouble charm, $\bar{B}^{(*)}\bar{B}^{(*)}$ with double bottom and$D^{(*)}\bar{B}^{(*)}$ with both charm and bottom, within theone-boson-exchange model. In our study, we take into account the S-D mixingwhich plays an important role in the formation of the loosely bound deuteron,and particularly, the coupled-channel effect in the flavor space. According toour calculation, the states $D^{(*)}D^{(*)}[I(J^P)=0(1^+)]$ and$(D^{(*)}D^{(*)})_s[J^P=1^+]$ with double charm, the states$\bar{B}^{(*)}\bar{B}^{(*)}[I(J^P)=0(1^+),0(2^+),1(0^+),1(1^+),1(2^+)]$,$(\bar{B}^{(*)}\bar{B}^{(*)})_s[J^P=0^+,1^+,2^+]$ and$(\bar{B}^{(*)}\bar{B}^{(*)})_{ss}[J^P=0^+,1^+,2^+]$ with double bottom, andthe states $D^{(*)}\bar{B}^{(*)}[I(J^P)=0(0^+),0(1^+)]$ and$(D^{(*)}\bar{B}^{(*)})_s[J^P=0^+,1^+]$ with both charm and bottom are goodmolecule candidates. However, the existence of the states$D^{(*)}D^{(*)}[I(J^P)=0(2^+)]$ with double charm and$D^{(*)}\bar{B}^{(*)}[I(J^P)=1(1^+)]$ with both charm and bottom is ruled out.

Coupled-channel analysis of the possible $D^{(*)}D^{(*)}$, $\bar{B}^{(*)}\bar{B}^{(*)}$ and $D^{(*)}\bar{B}^{(*)}$ molecular states

Coupled-channel analysis of the possible $D^{()}D^{()}$, $\bar{B}^{()}\bar{B}^{()}$ and $D^{()}\bar{B}^{()}$ molecular states