Strong decays ofΨ(4.03) andΨ(4.16) as radial excitations of charmonium

Abstract

Considering the signals detected at 4.03 and 4.16 GeV as radial excitations of charmonium, we study their relative decay rates intoD\(\bar D\),D\(\bar D^* \),D*\(\bar D\),D*\(\bar D^* \). We point out that one can understand these two peaks as ac\(\bar c\)3S−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 3S and 4S 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 (eitherD\(\bar D^* \)+D*\(\bar D\) orD\(\bar D\) mode is strongly suppressed) which would be very instructive to test experimentally.