Chiral Symmetry and Charmonium Decays to Two Pseudoscalars

Abstract

We apply hard pion Chiral Perturbation Theory to charmonium decays to $\pi \pi$, $KK$ and $\eta \eta$. We first discuss why we expect to be able to provide results for the chiral logarithms in ${\chi }_{c0}$ and ${\chi }_{c2}$ decays to two pseudoscalars while for the decays from $J/\psi$, $\psi (nS)$ and ${\chi }_{c1}$ no simple prediction is possible. The leading chiral logarithm turns out to be absent for ${\chi }_{c0},{\chi }_{c2}\to PP$. This result is true for all fully chiral singlet states of spin zero and two.

Comments: 7 pages