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The transition helicity amplitudes from the proton ground state to the$P_{11}(1440)$ and $D_{13}(1520)$ excited states ($\gamma_{v}pN^*$electrocouplings) were determined from the analysis of nine independentone-fold differential $\pi^{+} \pi^{-} p$ electroproduction cross sections offa proton target, taken with CLAS at photon virtualities 0.25\enskip {\rmGeV$^{2}$} $<$ $Q^{2}$ $<$ 0.60 \enskip {\rm GeV$^{2}$}. The phenomenologicalreaction model was employed for separation of the resonant and non-resonantcontributions to the final state. The $P_{11}(1440)$ and $D_{13}(1520)$electrocouplings were obtained from the resonant amplitudes parametrized withinthe framework of a unitarized Breit-Wigner ansatz. They are consistent withresults obtained in the previous CLAS analyses of the $\pi^+n$ and $\pi^0p$channels. The successful description of a large body of data in dominantmeson-electroproduction channels off protons with the same $\gamma_{v}pN^*$electrocouplings offers clear evidence for the reliable extraction of thesefundamental quantities from meson-electroproduction data. This analysis alsoled to the determination of the long-awaited hadronic branching ratios for the$D_{13}(1520)$ decay into $\Delta\pi$ (24%-32%) and $N\rho$ (8%-17%).

A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep \rightarrow e'\pi^{+} \pi^{-} p'$