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

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^{-+}JPC=1−+ and the nonet of their chiral partners with J^{PC}=1^{+-}JPC=1+− to a global U(3)_r \times U(3)_lU(3)r×U(3)l chiral symmetry. We use the assignment of the \pi_1^{hyb}= \pi_1(1600)π1hyb=π1(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.