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Using the data for 24.5x10^6 psi(2S) produced in e^+e^- annihilations atsqrt{s}=3686 MeV at the CESR-c e^+e^- collider and 8.6x10^6 J/psi produced inthe decay psi(2S)->pi^+pi^-J/psi, the branching fractions for psi(2S) and J/psidecays to pairs of pseudoscalar mesons, pi^+pi^-, K^+K^-, and K_S K_L, havebeen measured using the CLEO-c detector. We obtain branching fractionsBr(psi(2S)->pi^+pi^-)=(7.6+-2.5+-0.6)x10^-6,Br(psi(2S)->K^+K^-)=(74.8+-2.3+-3.9)x10^-6, Br(psi(2S)->K_SK_L)=(52.8+-2.5+-3.4)x10^-6, and Br(J/psi->pi^+pi^-)=(1.47+-0.13+-0.13)x10^-4,Br(J/psi->K^+K^-)=(2.86+-0.09+-0.19)x10^-4, Br(J/psi+-K_SK_L)=(2.62+-0.15+-0.14)x10^-4, where the first errors are statistical and thesecond errors are systematic. The phase differences between the amplitudes forelectromagnetic and strong decays of psi(2S) and J/psi to 0^{-+} pseudoscalarpairs are determined by a Monte Carlo method to be\delta(psi(2S)_{PP}=(110.5^{+16.0}_{-9.5})^o and\delta(J/psi)_{PP}=(73.5^{+5.0}_{-4.5})^o. The difference between the two is\Delta\delta = \delta(psi(2S))_{PP}-\delta(J/psi)_{PP}=(37.0^{+16.5}_{-10.5})^o.

Phase Difference Between the Electromagnetic and Strong Amplitudes for psi(2S) and J/psi Decays into Pairs of Pseudoscalar Mesons