On the two-body decay processes of the predicted three-body K *(4307) resonance

Abstract

In a recent theoretical work, Phys. Lett. B785, 112 (2018), we proposed that a K^* resonance with hidden charm content arises from the KDD¯∗\[ KD{\overline{D}}^{\ast } \] dynamics, where the DD¯∗\[ D{\overline{D}}^{\ast } \] system is treated as a Z_c(3900) or X(3872). With the motivation of determining its further properties, which can be observed in experiments, we now present a calculation of the decay processes of this K^*, namely K^*(4307), to two-body channels. Particularly, we consider the decay channels J/ψK^*(892), D¯Ds\[ \overline{D}{D}_s \], D¯Ds*\[ \overline{D}{D}_s^{*} \] and D¯∗Ds*\[ {\overline{D}}^{\ast }{D}_s^{*} \]. The mechanisms of the decay to these channels involve triangular loops and are a consequence of the internal structure of the state. Thus, the values found for the decay widths of the proposed K^*(4307) are related to its nature and should be valuable for carrying on an experimental study of the K^*(4307). A K^* state with such a mass (in the charmonium region) and quantum numbers is a clear manifestation of an exotic meson, since, having hidden charm (i.e., a cc¯\[ c\overline{c} \] pair), its mass and quantum numbers can not be explained within a quark-antiquark description.