We study the interaction of excitons and optical phonons in light-emitting
conjugated polymers with the variational approach. The optical transition m
atrix elements for the phonon sidebands in the absorption and emission spec
tra an calculated. The electron-phonon coupling constant is determined by f
itting the theoretical oscillator strengths of the emission sidebands with
the experimental photoluminescence spectra for the various poly(p-phenylene
vinylene) derivatives. Using this coupling constant, we predict that the a
bsorption one-phonon sideband is as important as the zero-phonon sideband f
or the ideal systems. Taking the experimental data of the peak absorption c
oefficient as input, we obtain the optical gain coefficient for a wide rang
e of exciton densities. The gain is found to be determined by the exciton d
ensity no by a general expression 1.98 x 10(-16)n(o) cm(2), which is in goo
d agreement with experiments. [S0163-1829(99)06243-8].