Femtoscopic correlation function for the Tcc(3875)+ state

We have conducted a study of the femtoscopic correlation functions for the D0D*+ and D+D*0 channels that build the Tcc state. We develop a formalism that allows us to factorize the scattering amplitudes outside the integrals in the formulas, and the integrals involve the range of the strong interaction explicitly. For a source of size of 1 fm, we find values for the correlation functions of the D0D*+ and D+D*0 channels at the origin around 30 and 2.5, respectively, and we see these observables converging to unity already for relative momenta of the order of 200 MeV. We conduct tests to see the relevance of the different contributions to the correlation function and find that it mostly provides information on the scattering length, but should the correlation functions be measured with the precision of the latest experiments, the effective range of the D0D*+ could also be obtained. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

We conducted a study on the femtoscopic correlation functions for the D0D*+ and D+D*0 channels that form the Tcc state. By developing a formalism that factorizes the scattering amplitudes, we were able to calculate the integrals involving the strong interaction explicitly. Our results show that for a source size of 1 fm, the correlation functions for the D0D*+ and D+D*0 channels near the origin are approximately 30 and 2.5, respectively, and these observables converge to unity at a relative momentum of about 200 MeV. Our tests indicate that the correlation functions mostly provide information on the scattering length, but with higher precision measurements, the effective range of the D0D*+ channel could also be obtained.