Nature of the K-2*(1430), K-3*(1780), K-4*(2045), K-5*(2380), and K-6* as K*-multi-rho states

We show that the K∗2(1430), K∗3(1780), K∗4(2045), K∗5(2380) and a not yet discovered K∗6 resonance are basically molecules made of an increasing number of ρ(770) and one K∗(892) mesons. The idea relies on the fact that the vector-vector interaction in s-wave with spins aligned is very strong both for ρρ and K∗ρ. We extend a recent work, where several resonances showed up as multi-ρ(770) molecules, to the strange sector including the K∗(892) into the system. The resonant structures show up in the multi-body scattering amplitudes, which are evaluated in terms of the unitary two-body vector-vector scattering amplitudes by using the fixed center approximation to the Faddeev equations