Abstract
In this note, we use local duality finite energy sum rule to test the validity of the Laplace sum rules results truncated at the dimension-six condensates for the estimates of the masses and couplings of the Zc-like ground states in Albuquerque et al. [Phys. Rev. D 103, 074015 (2021)] by taking the example of the D*D molecule configuration. We confirm the existence of an eventual (D*D)1 radial excitation with a mass around 5700 MeV and coupling of 197(25) keV to the current which may mask the eventual Zc(4430) radial excitation candidate [named (D*D)0 in Albuquerque et al.] having a relatively small coupling f(D*D)0=46(56) keV. We add more explanations on the estimates in Albuquerque et al. from Laplace sum rules and comment on the results in Wang [; Commun. Theor. Phys. 63, 325 (2015)].