Search for excited charmonium states in e(+)e(-) annihilation at root s=10.6 GeV

We suggest searching for excited charmonium states in e(+)e(-) annihilation via double charmonium production at root s =10.6 GeV with B factories, based on a more complete leading order calculation including both QCD and QED contributions for various processes. In particular, for the C=+ states, the chi(c0)(nP) (n=2,3) and eta(c)(mS) (m=3,4) may have appreciable potentials to be observed, while for the C=- states, the eta(c)h(c) production and especially the chi(c1)h(c) production might provide opportunities for observing the h(c) with higher statistics in the future. A brief discussion for the X(3940) observed in the double charmonium production is included.