Dynamical study of D*DK and D*DD¯ systems at quark level

Abstract

Inspired by the recent report from the LHCb Collaboration on Tcc, which can be interpreted as a molecular DD*, we investigated two trimeson systems of the Tcc partner with IJP=01− in the framework of a chiral quark model. In the first case, because of the attraction between D* and D¯, we explored the existence of bound states in the system D*DD¯, which is obtained by adding D¯ into the molecular bound state Tcc (DD*). Similarly, in the second case, we explored whether there is a bound state in the D*DK system, which is obtained by adding K into the Tcc, given the attraction between D and K. The results show that both of them are bound states, in which the binding energy of the molecular state DD*K is relatively small, only 0.4±0.4  MeV, while the binding energy of DD*D¯ is up to 1.6±0.3  MeV. According to the calculation results of the root-square-mean distances, the spatial structure of the two systems shows the obvious (DD*)−(D¯/K) structure, in which D is close to D* while DD* as a whole is relatively distant from the third hadron (D¯/K), which are similar to the nucleon-electron structure. As a result, we strongly recommend that these bound states DD*D¯ and DD*K are searched for experimentally. Published by the American Physical Society 2024