Revisiting the three-kaon interaction and its relation with $K(1460)$
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| Format: | Preprint |
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2025
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| _version_ | 1866908628106084352 |
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| author | Döring, Michael Khemchandani, Kanchan P. Torres, Alberto Martínez |
| author_facet | Döring, Michael Khemchandani, Kanchan P. Torres, Alberto Martínez |
| contents | We test the hypothesis of $K(1460)$ being a hadronic $J^P=0^-$ molecule through nonperturbative $S$-wave $K K\bar K$, $Kππ$, $Kπη$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02543 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting the three-kaon interaction and its relation with $K(1460)$ Döring, Michael Khemchandani, Kanchan P. Torres, Alberto Martínez Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We test the hypothesis of $K(1460)$ being a hadronic $J^P=0^-$ molecule through nonperturbative $S$-wave $K K\bar K$, $Kππ$, $Kπη$ 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. |
| title | Revisiting the three-kaon interaction and its relation with $K(1460)$ |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2511.02543 |