Abstract

A coupled channel analysis of the D⁎+D0 and D⁎0D+ system is performed to study the doubly charmed Tcc+ state recently discovered by the LHCb collaboration. We use a simple model for the scattering amplitude and production mechanism that allows us to describe well the experimental spectrum, and obtain the Tcc+ pole in the coupled channel T-matrix. We find that this bound state has a large molecular component. The isospin (I=0 or I=1) of the state cannot be inferred from the D0D0π+ spectrum alone, although there is some experimental evidence that points to the I=0 interpretation. Therefore, we use the same formalism to predict other DDπ spectra. In the case the Tcc+ has I=1, we also predict the location of the other two members (Tcc++ and Tcc0) of the triplet. Finally, using Heavy-Quark Spin Symmetry, we predict the location of possible heavier D⁎D⁎ (I=0 or I=1) partners.

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