Femtoscopic correlation function for the Tcc(3875)+ state
Isaac Vidaña, A. Feijoo, M. Albaladejo, J. Nieves, E. Oset
Abstract
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.