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We use the diffusion Monte Carlo method to calculate the doubly heavytetraquark $T_{cc}$ system in two kinds of constituent quark models, the pureconstituent quark model AL1/AP1 and the chiral constituent quark model. Whenthe discrete configurations are complete and no spatial clustering is preseted,the AL1/AP1 model gives an energy of $T_{cc}$ close to the $DD^*$ threshold,and the chiral constituent quark model yields a deeply bound state. We furthercalculate all doubly heavy tetraquark systems with $J^P=0^+,1^+,2^+$, andprovide the binding energies of systems with bound states. The $I(J^P)=0(0^+)$$bc\bar{n}\bar{n}$, $0(1^+)$ $bb\bar{n}\bar{n}$, $0(1^+)$ $bc\bar{n}\bar{n}$,$\frac{1}{2}(1^+)$ $bb\bar{s}\bar{n}$ systems have bound states in all threemodels. Since the DMC method has almost no restriction on the spatial part, theresulting bound states have greater binding energies than those obtained inprevious works.

Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method