Superexotic $K^{*+}D^{*+}K^{*+}$ bound state

TL;DR

This paper predicts a highly exotic three-meson bound state with specific quantum numbers, formed from $K^{*+}$ and $D^{*+}$ mesons, with a small width and a suggested experimental detection method.

Contribution

It introduces a novel prediction of a bound state involving three vector mesons with specific quantum numbers, expanding the understanding of exotic hadronic states.

Findings

The three-body state is bound by about 100 MeV.

The state has a narrow width of about 10 MeV.

It can be observed via invariant mass measurements of $K D K^*$.

Abstract

We study a system made from $K^{*+}D^{*+}K^{*+}$ with charge $3$, isospin $I=3/2$, spin $J=3$, and a quark content of $c\bar d \bar s u \bar s u$, which make it highly exotic relative to the standard $q\bar q$ structure of mesons. The interaction of the three body system is obtained starting from a cluster of $K^{*+}D^{*+}$ in $I=1$ and $J=2$, that in different works has been found bound, and adding to it an extra $K^{*+}$ with spin aligned with those of the vectors of the cluster. We find that the $K^* K^*$ interaction in $I=1$ and $J=2$ is repulsive, but its strength is small compared to that of $K^{*+}D^{*+}$ in $I=1$ and $J=2$, such that we find a three body state bound by about $100 \, \rm MeV$ with respect to the mass of a $K^{*+}$ and the $K^{*+} D^{*+}$ cluster. The width of the state, of about $10\, \rm MeV$, is much smaller than the binding, which facilitates its observation. We suggest to find that state by measuring the invariant mass of $K D K^*$, something feasible in present experimental facilities.