Light Hadronic Decays of Spin-0 Partner of X  (3872)

The X(3872) is theoretically predicted to have a spin-0 partner state denoted as X_0. Assuming the X_0 as a D\barD molecular bound state, we calculate the decay widths of X_0\to VV and X_0 \to PP (V and P stand for light vector and pseudoscalar mesons, respectively) via intermediate charmed meson loops. Three different configurations of the X_0, i.e., pure neutral components (\theta = 0), isospin singlet (\theta = \pi/4), and pure charged components (\theta = \pi/2), are investigated. Within a commonly accepted range of the model parameter \alpha, the predicted decay widths of X_0 \to VV are on the order of a few hundred \mathrmkeV, while the decay widths of X_0 \to PP can reach several \mathrmMeV. The X_0 \to \rho\rho and \pi\pi have larger decay rates. The relative width ratios between the channels are nearly model-independent. Moreover, among those channels only with isovector or isoscalar mesons, the relevant ratios are also independent of the phase angle. The predicted ratios are helpful for searching the X_0 in the future experiments at BESⅢ and Belle Ⅱ.