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A search for the muon catalyzed fusion reaction dd --> ^4He +\gamma in thedd\mu muonic molecule was performed using the experimental \mu CF installationTRITON and NaI(Tl) detectors for \gamma-quanta. The high pressure target filledwith deuterium at temperatures from 85 K to 800 K was exposed to the negativemuon beam of the JINR phasotron to detect \gamma-quanta with energy 23.8 MeV.The first experimental estimation for the yield of the radiative deuteroncapture from the dd\mu state J=1 was obtained at the level n_{\gamma}\leq2\times 10^{-5} per one fusion.Comment: 9 pages, 3 Postscript figures, submitted to Phys. At. Nuc

Search for the radiative capture reaction d+d → 4He+γ from the ddμ muonic molecule state