K⁎ mesons with hidden charm arising from KX(3872) and KZc(3900) dynamics

Inspired by the recent discovery of the pentaquark states Pc(4450) and Pc(4380), which can be viewed as excited nucleon states with hidden charm, we study the three-body interaction of a kaon and a pair of DD¯⁎ in isospin 0 and 1. We show that the two body interactions stringently constrained by the existence of the Ds0⁎(2317), Ds1⁎(2460), X(3872), and Zc(3900), which are widely believed to contain large DK, D⁎K, and DD¯⁎ components, inevitably lead to the existence of a heavy K⁎ meson with hidden charm. Concrete coupled channel three-body calculations yield its mass and width as (4307±2)−i(9±2)MeV with I(JP)=1/2(1−). This state, if found experimentally, definitely cannot be accommodated in a qq¯ picture, and therefore presents a clear case of an exotic hadron.