Abstract
We extend the theoretical framework used of describe the $T_{cc}$ state as a molecular state of $D^* D$ and make predictions for the $D^*D^*$ and $D^*_s D^*$ systems, finding that they lead to bound states only in the $J^P=1^+$ channel. Using input needed to describe the $T_{cc}$ state, basically one parameter to regularize the loops of the Bethe-Salpeter equation, we find bound states with bindings of the order of the MeV and similar widths for $D^*D^*$ system, while the $D^{*}_s D^{*}$ system develops a strong cusp around threshold.
Highlights
The discovery of the mesonic Tcc state with two open charm quarks [1,2,3,4] has brought a new example of an exotic meson state, challenging the standard nature of mesons as qqstates
We extend the theoretical framework used to describe the Tcc state as a molecular state of DÃD and make predictions for the DÃDÃ and DÃs DÃ systems, finding that they lead to bound states only in the JP 1⁄4 1þ channel
Using input needed to describe the Tcc state, basically one parameter to regularize the loops of the Bethe-Salpeter equation, we find bound states with bindings of the order of MeV and similar widths for the DÃDÃ system, while the DÃs DÃ system develops a strong cusp around the threshold
Summary
The discovery of the mesonic Tcc state with two open charm quarks [1,2,3,4] has brought a new example of an exotic meson state, challenging the standard nature of mesons as qqstates. In [39] the width of the states was obtained from the pseudoscalar-pseudoscalar decay channel, which in the present case is forbidden by spin-parity conservation There is another source of decay which is the pseudoscalar-vector channel, which we will evaluate here. With the background from the molecular studies discussed above and the valuable information from the Tcc state, we retake the task of studying the DÃDÃ and DÃsDÃ systems, paying attention to the decay channels, with the purpose of making a precise determination of the mass and widths of the bound states emerging from the interaction of these systems
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