“…Except t quark, the other quarks can form mesons, baryons ,and other hadrons. As an important part of hadron, the meson family is phenomenologically studied by many works [1][2][3][4][5][6][7][8][9]. When checking the experimental status of mesons [10], we notice an interesting phenomenon, the whole meson family with J PC = 5 ++ (with qq component, here q defines u, d, or s quark) is still missing, yet the other families for a and f meson (such as a 0 , a 1 , a 2 , a 3 , a 4 , and a 6 ) have been reported by Particle Data Group(PDG) [10].…”