Structure of $\pmb K\pmb K\pmb K^{\pmb {bar}}$– $K{\pmb {\pi }}{\pmb {\pi }}$–$K{\pmb {\pi }}{\pmb {\eta }}$ Three-Body Resonance and Partial Decay Widths of ${\pmb K}(\pmb {1460})$

Abstract

Using the complex-scaling method, we discuss the coupled-channel $KKK^{bar}$–$K\pi \pi$–$K\pi \eta$ three-body resonance and determine the resonance pole with KK, $KK^{bar}$–$\pi \pi$, $KK^{bar}$–$\pi \eta$ and $K\pi$ two-body potentials describing two-body scattering properties and $f^0$ and $a^0$ resonances. It is shown that the three-body resonance can be interpreted as K(1460). To estimate the partial decay widths of this three-body resonance, we calculate the partial-wave components in the resonance wave function and evaluate roughly the partial decay widths in $K^*\pi$, $\varepsilon K$ and $\rho K$ modes. We find that additional p-wave components are needed to explain the experimental partial decay widths of K(1460).