Heavy $K^*(4307)$ meson with hidden charm

TL;DR

This paper predicts a new heavy $K^*(4307)$ meson with hidden charm using three-body Faddeev equations, suggesting it as an exotic state that warrants experimental search in the heavy strange meson sector.

Contribution

The study provides a robust theoretical prediction of an exotic heavy $K^*$ meson with specific mass and decay properties, using the fixed-center approximation for the three-body system.

Findings

Predicted $K^*(4307)$ meson with mass ~4307 MeV and width ~18 MeV.

Identified $K^*(4307)$ as an exotic hidden charm meson with isospin 1/2.

Encouraged experimental efforts to detect this new heavy strange meson.

Abstract

We report on a robust prediction of heavy $K^*$ meson by solving the Faddeev equations with fixed-center approximation for the three-body $KD\bar{D}^*$ system. As the excited Kaon state, $K^*$ is an exotic hidden charm meson with $M-i\Gamma/2=4307\pm2-i9\pm2$ MeV and $I(J^P)=1/2(1^-)$. We further performed the evaluation of the decay width of $K^*(4307)$ to the open two-body channels. We expect that the above findings inspire an experimental investigation of this exotic $K^*$ meson and to study the so far unexplored heavy strange meson sector.