Revisiting the three-kaon interaction and its relation with 𝐾(1460)
Here, we test the hypothesis of 𝐾(1460) being a hadronic 𝐽 𝑃 = 0 − molecule through nonperturbative 𝑆-wave $KK\bar{K}$, 𝐾𝜋𝜋, 𝐾𝜋𝜂 coupled-channel dynamics in a three-body unitary isobar approach. The scalar two-body coupled-channel resonances 𝑓 0 (500), 𝑓 0 (980), 𝑎 0 (980), and 𝐾$^*_0$(700) are generated in the subsytems in amplitudes that match phase shifts from experiment. In a first step, previous results in the limit of mass-degenerate, stable 𝑓 0 and 𝑎 0 isobars are reproduced. Once the full seven-coupled channel model is switched on, other 𝑆-matrix effects obscure and modify the resonance signal, including complex thresholds, a two-body cusp, and a triangle singularity at threshold.