Hebei Teachers Univ, Dept Phys, Shijiazhuang 050016, Peoples R China
; Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China
; Shijazhuang Teachers Coll, Dept Phys, Shijiazhuang 050801, Peoples R China
Based on the Ingelman-Schlein model for hard diffractive scattering and the factorization formalism of non-relativistic QCD for quarkonia production, we present a study of associated J/psi + gamma production through single Pomeron exchange approaching Tevertron energy region. It is found that the P-T distribution of the cross section is sensitive to the color octet matrix elements. But the ratios of the inclusive production cross section to the single diffractive production cross section are not so. The ratios are sensitive to the product Df(g). The experimental mesurement of this process at the Tevetron would shed light on the nature of the Pomeron and test the diffractive hard scattering factorization.