Evidence for the decays of A⁺ _c → σ⁺η and σ⁺η′∗

We study the hadronic decays of to the final states and, using an annihilation data sample of 567 pb-1 taken at a center-of-mass energy of 4.6 GeV with the BESIII detector at the BEPCII collider. We find evidence for the decays and with statistical significance of and, respectively. Normalizing to the reference decays and, we obtain the ratios of the branching fractions and to be and, respectively. The upper limits at the 90% confidence level are set to be and. Using BESIII measurements of the branching fractions of the reference decays, we determine % (<0.68%) and % (<1.9%). Here, the first uncertainties are statistical and the second systematic. The obtained branching fraction of is consistent with the previous measurement, and the branching fraction of is measured for the first time.