Strong decays of psi(4.03) and psi(4.16) as radial excitations of charmonium

Considering the signals detected at 4.03 and 4.16 GeV as radial excitations of charmonium, we study their relative decay rates into D anti D, D anti D + D anti D, D anti D. We point out that one can understand these two peaks as a c anti c 3S - 2 D wave state system with a large mixing angle in a Coulomb + linear interquark potential. We also examine the possibility that these two signals are respectively 3S and 4S wave excitations by studying a logarithmic charmonium potential model. We show that both these interpretaitons lead to drastically different predictions for the psi (4.16) decay rates (either D anti D + D anti D or D anti D mode is strongly suppressed) which would be very instructive to test experimentally. (orig.)