Abstract
We have studied the π + π − → e + e − process in dense and hot nuclear matter using relativistic non-linear models taking into account all scalar–vector coupling terms up to fourth order in the Lagrangian. We have determined the influence of non-linear terms on the cross section and dilepton production rate in both isoscalar and isovector channels. For one of the models considered, we have found an enhancement of the π + π − → ρ → e + e − dilepton production rate in the low invariant mass region as required by the experimental data.
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