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arXiv · 2511.02543

Revisiting the three-kaon interaction and its relation with $K(1460)$

Michael Döring·Kanchan P. Khemchandani·Alberto Martínez Torres
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Abstract

We test the hypothesis of $K(1460)$ being a hadronic $J^P=0^-$ molecule through nonperturbative $S$-wave $K K\bar K$, $K\pi\pi$, $K\pi\eta$ 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.

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Michael Döring, Kanchan P. Khemchandani, Alberto Martínez Torres. 2025-11-04. Revisiting the three-kaon interaction and its relation with $K(1460)$. https://arxiv.org/abs/2511.02543

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