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${T_{cc}(cc\bar{u}\bar{d})}^{+}$ has been reported by the LHCb experiment in2022. The analysis using the Breit-Wigner parametrization found the smallbinding energy, $0.273$ MeV, which is measured from the threshold of$D^{*+}D^{0}$. In this paper, we consider $T_{cc}$ as a $DD^*$ hadronicmolecule as a deuteron-like state. The one boson exchange model is employed asfor the heavy meson interactions, where we determine the cut-off parameter$\Lambda$ to reproduce the reported binding energy of $T_{cc}$ with$I(J^P)=0(1^+)$. We discuss the properties of the bound state, and also searchfor $T_{cc}$ with the quantum numbers other than $0(1^{+})$. Futhermore, weanalyze $T_{bb}$ as a bottom counterpart of $T_{cc}$, which involves two bottomquarks, and obtain several bound states. Finally we consider the light-cloudbasis for wave functions of the doubly heavy tetraquarks in the heavy quarklimit. Using the basis, we find the spin multiplets of their bound states,indicating the spin structures of diquarks in $T_{cc}$ and $T_{bb}$ with thefinite quark masses.

Analysis of $T_{cc}$ and $T_{bb}$ based on the hadronic molecular model and their spin multiplets