Search for C = plus charmonium and X Y Z states in e+e- → γ plus H at BESIII

Within the framework of nonrelativistic quantum chromodynamics, we study the production of C = + charmonium states H in e(+)e(-) -> gamma + H at BESIII with H - eta(c)(nS) (n-1, 2, 3, and 4), chi(eJ) (nP) (n-1, 2, and 3), and D-1(2) (nD) (n-1 and 2). the radiative and realivistic corrections are calculated to next-to-leading order for S and P wave states. We then argue that the search for C = + XYZ states such as X(3872), X(3940), X(4160), and X(4350) in e(+)e(-) -> gamma + H at BESIII may help clarify the nature of these states. BESIII can search for XYZ states through two body process e(+)e(-) -> gamma H, where H decay to J/psi pi(+)pi(-), J/psi phi, or D (D) over bar. This result may be useful in identifying the nature of C - + XYZ states. For completeness, the production of C - + charmonium in e(+)e(-) -> gamma + H at B factories is also discussed