Decays of double charmed meson molecules

Abstract

The interaction between pseudoscalar and/or vector mesons can be studied using hidden gauge Lagrangians. In this framework, the interaction between charmed mesons has been studied. Furthermore, doubly charmed states are also predicted. These new states are near the $D^{\ast }{D}^{\ast }$ and $D^{\ast }{D}_s^{\ast }$ thresholds, and have spin-parity $J^P=1^{+}$. We evaluate the decay widths of these states, named as $R_{cc}(3970)$ and $S_{cc}(4100)$ (with strangeness), and obtain $44$ MeV for the non-strangeness, and $24$ MeV for the doubly charm-strange state. Essentially, the decay modes are $D{D}_{(s)}\ddot{I}€$ and $D{D}_{(s)}{\hat{I}}^3$, being the $D\ddot{I}€$ and $D{\hat{I}}^3$ emitted by one of the $D^{\ast }$ meson which forms the molecule.

5 pages, 1 table, 1 figure