On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states

Abstract

We show that the $K_2^{\ast }(1430)$, $K_3^{\ast }(1780)$, $K_4^{\ast }(2045)$, $K_5^{\ast }(2380)$ and a not yet discovered $K_6^{\ast }$ resonance are basically molecules made of an increasing number of $\rho (770)$ and one $K^{\ast }(892)$ mesons. The idea relies on the fact that the vector-vector interaction in s-wave with spins aligned is very strong both for $\rho \rho$ and $K^{\ast }\rho$. We extend a recent work, where several resonances showed up as multi-$\rho (770)$ molecules, to the strange sector including the $K^{\ast }(892)$ into the system. The resonant structures show up in the multi-body scattering amplitudes, which are evaluated in terms of the unitary two-body vector-vector scattering amplitudes by using the fixed center approximation to the Faddeev equations.

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• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• Few-body systems consisting of mesons
• $NDK$, $\bar{K}DN$ and $ND\bar{D}$ molecules
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
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• Structure of the meson Regge trajectories
• A prediction of $D^{\ast }$-multi-$\rho$ states
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• States of $\rho B^{\ast }{\bar{B}}^{\ast }$ with $J=3$ within the Fixed Center Approximation to Faddeev equations
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Pseudotensor mesons as three-body resonances
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Investigations of the $D$-multi-$\rho$ interactions
• States generated in the $K$-multi-$\rho$ interactions
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• $N^{\ast }(1920)(1/2^{+})$ state in the $NK\bar{K}$ system