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We present the first applications of the second random-phase-approximationmodel with the finite-range Gogny interaction. We discuss the advantages ofusing such an interaction in this type of calculations where 2 particle-2 holeconfigurations are included. The results found in the present work confirm thewell known general features of the second random-phase approximation spectra:we find a large shift, several MeV, of the response centroids to lower energieswith respect to the corresponding random-phase-approximation values. As known,these results indicate that the effects of the 1 particle-1 hole/2 particle-2hole and 2 particle-2 hole/2 particle-2 hole couplings are important. It hasbeen found that the changes of the strength distributions with respect to thestandard random-phase-approximation results are particularly large in thepresent case. This important effect is due to some large neutron-proton matrixelements of the interaction and indicates that these matrix elements (which donot contribute in the mean-field calculations employed in the conventional fitprocedures of the force parameters) should be carefully constrained to performcalculations

Second random-phase approximation with the Gogny force. First applications