In this work, we adopt the one-boson exchange model to analyze the $D_{(s)}^{(*)}{B}_{(s)}^{(*)}$ interactions from a coupled-channel perspective. For the $I(J^P)=1(1^{+})$ $D{B}^{*}/D^{*}B/D^{*}{B}^{*}$ system, employing the complex scaling method, we obtain a loosely bound state and two resonant states located below the $D{B}^{*}$, $D^{*}B$, and $D^{*}{B}^{*}$ thresholds, respectively. Assuming that the charmoniumlike states $Z_c(3900)$ and $Z_c(4020)$, as well as the bottomoniumlike states $Z_b(10610)$ and $Z_b(10650)$, are molecular states near their respective thresholds, we suggest that the predicted states in the $I(J^P)=1(1^{+})D^{(*)}{B}^{(*)}$ system could be their bottom-charmed analogs. In addition, we extend our analysis to other $D_{(s)}^{(*)}{B}_{(s)}^{(*)}$ combinations with various quantum numbers. Our results indicate that, besides the $I(J^P)=1(1^{+})$ channel, more molecular states with quantum numbers $I(J^P)=0(0^{+}),0(1^{+}),0(2^{+})$, and $1(0^{+})$ may also exist in the bottom-charmed sector. Compared with our earlier study of hidden-bottom systems [Phys. Rev. D 110, 074038 (2024)], where two bound states were obtained in the $I(J^P)=1(1^{+-})$ channel, the present work instead finds resonant states in the $I(J^P)=1(1^{+})$ sector. Moreover, while no molecular state with strangeness was identified in the previous hidden bottom systems, we now obtain molecular states near the $D_s^{(*)}{B}_s^{*}$ threshold. Finally, we provide possible decay channels for future experimental searches, recommending the $B_c/B_c^{*}$ plus light mesons for bound states, and the $D_{(s)}^{(*)}{B}_{(s)}^{(*)}$ channels for resonances.

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• Bound states
• Hadron-hadron interactions
• Bottom quark
• Charm quark