Superexotic K * + D * + K * + bound state

We study a system made from K * + D * + K * + with charge 3, isospin I = 3 / 2 , spin J = 3 , and a quark content of c d ¯ s ¯ u s ¯ u , which make it highly exotic relative to the standard q q ¯ structure of mesons. The interaction of the three body system is obtained starting from a cluster of D * + K * + in I = 1 and J = 2 , that in different works has been found bound, and adding to it an extra K * + with spin aligned with those of the vectors of the cluster. We find that the K * K * interaction in I = 1 and J = 2 is repulsive, but its strength is small compared to that of D * + K * + in I = 1 and J = 2 , such that we find a three body state bound by about 100 MeV with respect to the mass of a K * + and the D * + K * + cluster. The width of the state, of about 10 MeV, is much smaller than the binding, which facilitates its observation. We suggest to find that state by measuring the invariant mass of KDK *, something feasible in present experimental facilities.