Considering the signals detected at 4.03 and 4.16 GeV as radial excitations of charmonium, we study their relative decay rates into D {Mathematical expression}, D {Mathematical expression}, D* {Mathematical expression}, D* {Mathematical expression}. We point out that one can understand these two peaks as a c {Mathematical expression}3 S-2D 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 3 S and 4 S wave excitations by studying a logarithmic charmonium potential model. We show that both these interpretations lead to drastically different predictions for the Ψ (4.16) decay rates (either D {Mathematical expression}+D* {Mathematical expression} or D {Mathematical expression} mode is strongly suppressed) which would be very instructive to test experimentally. © 1979 Springer-Verlag.