%0 Journal Article %T States generated in the K-multi-rho interactions %A Xiao, C. W. %J Physical Review D %D 2015 %V 92 %N 5 %I Amer Physical Soc %@ 1550-7998 %G English %F Xiao2015 %O WOS:000360885900004 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2383), last updated on Thu, 01 Oct 2015 17:30:53 +0000 %X In the present work, we use three-body interaction formalism to investigate the K-multi-rho interactions. First, we reproduce the resonances f(2)(1270) and K-1(1270) in the rho rho and rho K two-body interactions, respectively, as the clusters of the fixed-center approximation. Then, we study the three-body K-rho rho(f(2)) and rho-rho K(K-1) interactions with the fixed-center approximation of the Faddeev equations. Furthermore, we extrapolate the formalism to study the four-body, five-body, and six-body systems containing one K meson and multiple rho mesons. In our research, without introducing any free parameters, we generate the K-2(1770) state in the three-body interaction with the mass of 1707 MeV and a width about 113 MeV, which are consistent with the experiments. We also find a clear resonant structure in our results of the five-body interaction, with a mass 2505 MeV and a width about 32 MeV or more, which is associated with the K-4(2500) state, where we obtain consistent results with the experimental findings. Furthermore, we predict some new states in the other many-body interactions, K-3(2080), K-5(2670) (isospin I = 1/2), and K-4(2640) (isospin I = 3/2), with uncertainties. %R 10.1103/PhysRevD.92.054011 %U http://arxiv.org/abs/1501.07834 %U https://doi.org/10.1103/PhysRevD.92.054011 %P 054011-16pp