$K(1460)$ resonance as the kaonic $KK\bar{K}$ system

The $K(1460)$ pseoudoscalar resonance is studied within a non relativistic potential three-body kaonic $KK\bar{K}$ model in the framework of the Faddeev equations in configuration space. We use a single-channel approach employing two sets of phenomenological $KK$ and $K\bar{K}$ potentials and taking into account the difference of masses of $K$ and $\bar{K}$ kaons. The latter leads to splitting the mass of the $K(1460)$ resonance according to $% K^{0}K^{0}{\bar{K}}^{0}$, $K^{0}K^{+}K^{-}$ and $K^{+}{\bar{K}}^{0}K^{0}$, $% K^{+}K^{+}K^{-}$ constituent particle states. The effect of the Coulomb force for $K^{0}K^{+}K^{-}$ and $K^{+}K^{+}{\bar{K}}^{-}$ systems is considered. Results of calculations for the mass of $K(1460)$ vary from 1469.7 to 1459.5 MeV depending on the constituent particles of the $KK\bar{K} $ system and the range of parameters for $KK$ and $K\bar{K}$ potentials. Our results are in reasonable agreement with the SLAC experiment value 1460 MeV [1] and LHCb recent experimental study 1482.40$\pm $3.58$\pm $15.22 MeV [2]. The width of the resonance is around 142 MeV, which is significantly less than the experimental results. [1] G. W. Brandenburg, et al., Phys. Rev. Lett \textbf{36} (1976) 703. [2] R. Aaij et al., Eur. Phys. J. C \textbf{78} (2018) 443.