Strong decays of the isovector-scalar D*D¯* hadronic molecule

Abstract

We adopt the effective Lagrangian approach to study the strong decays of the 1−(0++)D*D¯* molecular state [denoted as Tψ0a(4010) according to the LHCb naming convention] through triangle diagrams. The decay channels include the open-charm DD¯, and the hidden-charm ηcπ, J/ψρ, and χc1π. The coupling between the Tψ0a(4010) and its constituents D*D¯* is obtained by solving for the residue of the scattering T-matrix at the pole. Our calculations yield a total width of few tens MeV for the Tψ0a(4010) state using three different form factors, with its main decay channels being ηcπ and χc1π. The X(4100) and X(4050) have similar masses and widths, with both masses being close to the D*D¯* threshold. Additionally, their decay final states are consistent with those of the Tψ0a(4010). Therefore, it is likely that they represent the same state and both potentially correspond to the Tψ0a(4010). We suggest that future experiments focus on searching for the Tψ0a(4010) signal in the final states ηcπ−, χc1π−, and D0D− of the B0→ηcπ−K+, χc1π−K+, and D0D−K+ processes, respectively, as well as further investigating its resonance parameters with Flatté-like formula. Published by the American Physical Society 2024