Scalar, axial-vector and tensor resonances from the $\rho D^*$, $\omega D^*$ interaction in the hidden gauge formalism

TL;DR

This study uses a unitarized hidden-gauge approach to investigate vector-vector interactions, predicting new resonances and identifying known states in the $ ho D^*$ and $ ho/\omega D^*$ systems.

Contribution

The paper introduces a novel application of the hidden-gauge formalism combined with unitarity to predict and identify vector-vector resonances, including a new state at 2600 MeV.

Findings

Identified resonances with spins J=0,1,2 in the I=1/2 channel.

Associated J=1 and J=2 resonances with known states D*(2460) and D*(2640).

Predicted a new J=0 resonance around 2600 MeV.

Abstract

We apply a unitary approach together with a set of hidden-gauge Lagrangians to study the vector-vector interaction. We study the case of the $\rho$($\omega$)$D^*$ interaction within the model. In $I=1/2$ we get strong enough attraction to bind the system. Concretely, we get one resonance for each spin $J=0,1,2$. For J=1 and 2 these resonances can be easily identified with the $D^*(2460)$ and $D^*(2640)$. Whereas the state for J=0 with mass $M\sim2600$ MeV is a prediction of the model. In $I=3/2$ we get a repulsive interaction and hence no exotic dynamically generated states.