Unveiling the a_0(1710) nature in the process J/ψ→K̅^0K^+ρ^-

We have investigated the process J/ψ→K̅^0K^+ρ^- by taking into account the S-wave K^*K̅^*, ρω, and ρϕ final state interactions within the unitary coupled-channel approach, where the scalar meson a_0(1710) is dynamically generated. In addition, the contributions from the intermediate resonances K_1(1270)^-(→K̅^0ρ^-) and K_1(1270)^0(→ K^+ρ^-) are also considered. We find a significant peak structure around 1.8 GeV, associated to the a_0(1710), in the K̅^0K^+ invariant mass distribution, and the clear peaks of the K_1(1270) in the K̅^0ρ^- and K^+ρ^- invariant mass distributions. A precise measurement of this process by the BESIII and BelleII Collaborations and at the planed super tau charm facility in the future could shed light on the nature of a_0(1710).