$3^{++}$ light meson family

Abstract

As members of the $J^{PC}=3^{++}$ light meson family, the assignments of the $a_3(1875)$, $a_3(2030)$, $a_3(2275)$, $f_3(2050)$, and $f_3(2300)$ states remain unclear. In this work, we investigate the mass spectra and the Okubo-Zweig-Iizuka-allowed two-body strong decays of the $3^{++}$ light meson family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We explore the identification of the $a_3(1875)$, $a_3(2030)$, $a_3(2275)$, $f_3(2050)$, and $f_3(2300)$ states. Additionally, we predict the masses and widths of the higher excitations in the $3^{++}$ light meson family.