Interactions of the doubly charmed state $$T_{cc} ^+$$ T cc + with a hadronic medium

Abstract

Abstract We calculate the cross sections of the processes $$T_{cc}^+ \pi , T_{cc}^+ \rho \rightarrow D^{(*)} D^{(*)} $$ T cc + π , T cc + ρ → D ( ∗ ) D ( ∗ ) and of the corresponding inverse reactions. We use effective Lagrangians to account for the couplings between light and heavy mesons, and give special attention to the form factors in the vertices. Using QCD sum rules we calculate here for the first time the $$ T_{cc}^+ - D - D^*$$ T cc + - D - D ∗ form factor. The $$T_{cc}^+$$ T cc + absorption cross sections are found to be larger than the production ones. We compare our results with the only other existing estimate of these quantities, presented in a work by J. Hong, S. Cho, T. Song and S. H. Lee, in which the authors employed the quasi-free approximation. We find cross sections which are one order of magnitude smaller.