The rotational spectra observed in O₂-LIPF(laser-induced predissociative fluorescence) experiments using an ArF^* excimer laser are theoretically investigated. First, the simulation code of the Schumann-Runge bands is developed and then the general characteristics of the bands are discussed from the viewpoint of the suitable wavelength for O₂-LIPF. Although the tuning range of the ArF^* excimer laser is not the best wavelength regime for the O₂-LIPF, it is shown that the range of the excimer laser is adequate to determine rotational temperatures and that the bands (4, 0), (7, 1), (10, 2), (11, 2)and(14, 3) are observed to be intense there. Finally, the actual spectrum, considering the effects of the laser linewidth and the predissociation linewidth, is discussed and it is predicated that the (14, 3) band is most affected by those linewidth effects among the dominant bands above.