$X(3872)\to D\bar{D}{\hat{I}}^3$ decays and the structure of X(3872)

Abstract

It has been suggested that the radiative $X\to D\bar{D}{\hat{I}}^3$ decay modes are useful to shed light on the structure of the meson X(3872), since the ratio $R=\frac{\hat{I}“(X\to D^{+}{D}^{-}{\hat{I}}^3)}{\hat{I}“(X\to D^0{\bar{D}}^0{\hat{I}}^3)}$ is expected to be small ($R\ll 1$) if $X$ is a molecular $D^{\ast 0}{\bar{D}}^0$ state. We compute $R$ in a $\bar{c}c$ $J^{PC}=1^{++}$ description of $X$ finding that it is tiny in a wide range of hadronic parameters governing the decay. A discrimination between the molecular and $\bar{c}c$ description can be obtained through the analysis of the photon spectrum.

LaTex, 12 pages, 5 figures, version accepted for publication in PLB