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Photon-like particles are predicted in many extensions of the Standard Model.They have interactions similar to the photon, are vector bosons, and can beproduced together with photons. The present paper proposes a search for suchparticles in the $ e^+e^- \to U\gamma$ process in a positron-on-targetexperiment, exploiting the positron beam of the DA$\Phi$NE linac at theLaboratori Nazionali di Frascati, INFN. In one year of running a sensitivity inthe relative interaction strength down to $\sim10^{-6}$ is achievable, in themass region from 2.5 MeV$<M_U<$ 20 MeV. The proposed experimental setup and theanalysis technique is discussed.

Proposal to search for a dark photon in $e^+$ on target collisions at DA$\Phi$NE linac