Are the X(4160) and X(3915) charmonium states?

Inspired by the newly observed states X(4160) and X(3915), we analyze the mass spectra of these states in different quark models and calculate their strong decay widths by the P-3(0) model. According to the mass spectra of charmonium states predicted by the potential model, the states chi(0)(3(3)P(0)), chi(1)(3(3)P(1)), eta(c2)(2(1)D(2)), eta(c)(4(1)S(0)) all can be candidates for the X(4160). However, only the decay width of the state eta(c2)(2(1)D(2)) in in our calculation is in good agreement with the data reported by Belle, and the decay of eta(c2)(2(1)D(2)) -> D (D) over bar, which is not seen in experiment, is also forbidden. Therefore, it is reasonable to interpret the charmonium state eta(c2)(2(1)D(2)) as the state X(4160). For the state X(3915), although the mass of chi(0)(2(3)P(0)) is compatible with the experimental value, the calculated strong decay width is much larger than experimental data. Hence, the assignment of X(3915) to the charmonium state chi(0)(2(3)P(0)) is disfavored in our calculation.