Study of possible DND^* bound states

We start from a recently favored picture in which the Λc(2940) and Λc(2910) correspond mostly to ND^* bound states with JP = 1/2⁻,\, 3/2⁻ and then add a D as a third particle, looking for the possible binding of the DND^* three body system within the framework of the Fixed Center Approximation. We find that the system is bound with respect to the corresponding Λc^* D threshold with a binding of about $60$ MeV and a width of about $90$ MeV. Alternatively we assume a cluster of $ND$ and a D^* meson interacting with the cluster and we find similar results. The observation of these states of JP = 1/2⁺,\, 3/2⁺ would provide new and valuable information concerning the $DN$ and D^* N interaction, an issue of current debate.