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 X₀. Assuming the X₀ as a DD molecular bound state, we calculate the decay widths of X₀ → VV and X₀ → PP (V and P stand for light vector and pseudoscalar mesons, respectively) via intermediate charmed meson loops. Three different configurations of the X₀, i.e., pure neutral components (θ = 0), isospin singlet (θ = π/4) and pure charged components (θ = π/2), are investigated. Within a commonly accepted range of the model parameter α, the predicted decay widths of X₀ → VV are on the order of a few hundred keV, while the decay widths of X₀ → PP can reach several MeV. The X₀ → ρρ and ππ 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 X₀ in the future experiments at BESIII and Belle II.