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We have conducted a study of the femtoscopic correlation functions for the$D^0D^{*+}$ and $D^+D^{*0}$ channels that build the $T_{cc}$ state. We developa formalism that allows us to factorize the scattering amplitudes outside theintegrals in the formulas, and the integrals involve the range of the stronginteraction explicitly. For a source of size of 1 fm, we find values for thecorrelation functions of the $D^0 D^{*+}$ and $D^+D^{*0}$ channels at theorigin around 30 and 2.5, respectively, and we see these observables convergingto unity already for relative momenta of the order of 200 MeV. We conduct teststo see the relevance of the different contributions to the correlation functionand find that it mostly provides information on the scattering length, sincethe presence of the source function in the correlation function introduces aneffective cut in the loop integrals that makes them quite insensitive to therange of the interaction.

Femtoscopic correlation function for the $T_{cc}(3875)^+$ state