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Spectrum of the doubly heavy tetraquarks is studied in a constituent quarkmodel including one-pion exchange (OPE) potential. Central and tensor forcesinduced by OPE between two light quarks are considered. Our results show that$I(J^P)=0(1^+)$ compact bound states are shifted up because of the repulsivecentral force between $\bar{q}\bar{q}$. This effect possibly leads to the smallbinding energy in $T_{cc}$. In addition, a $I(J^P)=1(1^+)$ resonant state isreported with $ E=10641 \ \rm{MeV},\Gamma=15 \ \rm{MeV}$ and $ E=10640 \\rm{MeV},\Gamma=15 \ \rm{MeV}$, without and with including OPE potential,respectively. The repulsive central force and attractive tensor force almostcancel with each other and leave a small energy difference when OPE potentialis included.

Doubly heavy tetraquarks including one-pion exchange potential