Heavy $K^{\ast }$ mesons with open charm from $K{D}^{(\ast )}{D}^{\ast }$ interactions

Abstract

In view of the recent discovery of $T_{cc}$, which can be described as a $D{D}^{\ast }$ molecular state, we perform a study of the $KD{D}^{\ast }$ system, and its extension to studying $K{D}^{\ast }{D}^{\ast }$, where $D^{\ast }{D}^{\ast }$ is bound as a spin 1 $T_{cc}$-like state, to search for the possible existence of exotic mesons with the open flavors $ccs$ being part of their quark configuration. Considering the additional attractive interactions present in the $KD$ and $K{D}^{\ast }$ subsystems, where the states $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ are generated, we solve the Faddeev equations considering the fixed-center approximation for the mentioned three-body systems and find the existence of two doubly charmed $K^{\ast }$-like mesons, $K_{cc}^{\ast }(4309)$ and $K_{cc}^{\ast }(4449)$, with quantum numbers $I(J^P)=1/2(1^{-})$. Considering the respective three-body thresholds of the two systems, both $K_{cc}$-states are bound by around $60$ MeV. An experimental confirmation will bring evidence for the existence of a degree of exoticity beyond charm +2.

9 pages, 5 figures, 1 table, version to appear in Eur. Phys. J. C