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The excitation of the carbon $2^+$ state at 4.439 MeV by $70-150$ MeVelectron impact and its subsequent decay to the ground state by photon emissionis described within the distorted-wave Born approximation. The transitiondensities are obtained from the nuclear quasiparticle phonon model. The photonangular distributions are compared with earlier results and with experiment,including the influence of bremsstrahlung. Predictions for spin asymmetries inthe case of polarized electron impact are also made.

On the excitation of the $2^+_1$ state in $^{12}$C in the $(e,e'\gamma)$ reaction