We calculate the production of $\chi_{ c}$ and $\eta_{ c}$ by the semi-coherent and coherent two-photon interaction in ultra-peripheral heavy ion collisions at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) energies. The differential cross section of transverse momentum distribution and rapidity distribution for $AB\stackrel{ \gamma\gamma}{ \longrightarrow}AHB$ (H=$\chi_{ c}$ and $\eta_{ c}$), are estimated by using the equivalent photon approximation in ultra-peripheral nucleus-nucleus collisions. The numerical results demonstrate that the experimental study of $\chi_{ c}$ and $\eta_{ c}$ in ultra-peripheral nucleus-nucleus collisions is feasible at RHIC and LHC energies.
Categories: hep-ph nucl-th