We analyze the &pgr;&pgr; production amplitudes in the excited &Ugr; decay processes, &Ugr;(2S) → &Ugr;(1S)&pgr;+&pgr;−, &Ugr;(3S) → &Ugr;(1S)&pgr;+&pgr;−and &Ugr;(3S) → &Ugr;(2S)&pgr;+&pgr;−, and the &pgr;&pgr; andKK¯production amplitudes in the charmonium decay processes, &psgr;(2S) →J/&psgr;&pgr;+&pgr;−andJ/&psgr; → &fgr;&pgr;+&pgr;−, &fgr;K+K−, including the possible effect of light &sgr; production. The amplitudes are parametrized by the sum of Breit‐Wigner amplitudes for the &sgr; and the other relevant particles and of the direct 2&pgr;‐production amplitude, following the VMW method. All the &pgr;&pgr; (andKK¯) mass spectra are reproduced well with the obtained values of &sgr;‐parameters,m&sgr; = 526−37+48MeV and&Ggr;&sgr; = 301−100+145MeV, which is almost consistent with the values in our previous phase shift analyses. © 2002 American Institute of Physics