Search for Charmonium(-like) states decaying into the Ω − Ω ¯ + final states

Recently, the BESIII experiment performed a measurement of the energy-dependent Born cross section and the effective form factor for the e + e − → Ω − Ω ¯ + reaction at the center-of-mass energies ranging from 3.4 to 4.7 GeV. The energy dependence of the dressed cross section is fitted with the hypothesis of a charmonium(-like) resonance i.e., ψ (3770), ψ (4040), ψ (4160), Y (4230), Y (4360), ψ (4415), or Y (4660) combined with a power-law function. The fit is applied to the recent BESIII data, combined with the earlier measurements from CLEO-c data, but no significance is found. The products of the branching fractions and the two-electronic partial widths for the assumed charmonium(-like) states decaying into the Ω − Ω ¯ + final state are also provided. In addition, by taking the world average value of the two-electronic partial width, the upper limits at the 90% confidence level on the branching fractions of ψ (3770), ψ (4040), ψ (4160), and ψ (4415) decays into Ω − Ω ¯ + are determined for the first time. These are found to be at least an order of magnitude larger than expected from predictions using a scaling based on the observed electronic widths.