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The E1 transitions of $\psi(3686)$ and $\psi(3770)\to \gamma\chi_{cJ}$ areinvestigated in a non-relativistic effective field theory (NREFT) where theopen charm effects are included systematically as the leading corrections. Italso allows a self-consistent inclusion of the $S$-$D$ mixing in the sameframework. We are able to show that the open charm contributions are essentialfor understanding the significant discrepancies between the non-relativisticleading order calculations and the experimental data.

Open charm contributions to the E1 transitions of $\psi(3686)$ and $\psi(3770)\to \gamma\chi_{cJ}$