Masses of vector and pseudovector hybrid mesons in a chiral symmetric model

TL;DR

This paper extends a chiral model to include hybrid mesons with exotic quantum numbers, predicting their masses to aid experimental searches.

Contribution

It introduces an enlarged chiral model incorporating hybrid mesons with specific quantum numbers and predicts their masses based on experimental input.

Findings

Predicted masses of vector and pseudovector hybrid mesons.

Provided theoretical guidance for experimental hybrid searches.

Abstract

We enlarge the chiral model, the so-called extended Linear Sigma Model (eLSM), by including the low-lying hybrid nonet with exotic quantum numbers $J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$ to a global $U(3)_r \times U(3)_l$ chiral symmetry. We use the assignment of the $\pi_1^{hyb}= \pi_1(1600)$ as input to determine the unknown parameters. Then, we compute the lightest vector and pseudovector hybrid masses that could guide ongoing and upcoming experiments in searching for hybrids.