Hyperfine splittings of bag model gluonia

Order α _s contributions to the energy shifts in gluonia are studied in the MIT bag model. The naive result that M(0 ^-+) > M(0 ⁺⁺) is preserved for α _s ≲ 3, although M(0 ^-+) < M(2 ⁺⁺) results for α _s ≳ 0.54. The 0 ^-+ and 2 ⁺⁺ can thus be identified with ι(1440) and θ(1640) for reasonable values of α _s and bag size, in which case the 0 ⁺⁺ mass is predicted to be ∼ 1.0 GeV.