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

TL;DR

This paper proposes that several K* resonances are molecular states composed of multiple rho mesons and a K* meson, based on strong vector-vector interactions and multi-body scattering analysis.

Contribution

It extends previous work on multi-rho molecules to include strange sector resonances as multi-vector meson molecules involving K* and rho mesons.

Findings

Resonances are described as multi-meson molecules with strong vector-vector interactions.

Multi-body scattering amplitudes reveal the structure of these resonances.

The approach predicts a new K*6 resonance as a multi-rho-K* molecule.

Abstract

We show that the $K^*_2(1430)$, $K^*_3(1780)$, $K^*_4(2045)$, $K^*_5(2380)$ and a not yet discovered $K_6^*$ resonance are basically molecules made of an increasing number of $\rho(770)$ and one $K^*(892)$ 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 $K^*\rho$. We extend a recent work, where several resonances showed up as multi-$\rho(770)$ molecules, to the strange sector including the $K^*(892)$ 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.