Test of φ renormalization in nuclei through φ photoproduction

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We propose an experimental procedure to find out the medium modifications of the $��$ meson. The reaction is inclusive $��$ photoproduction in nuclei, looking for $K^+ K^-$ pairs from the $��$ decay with total momentum smaller than 100-150 $MeV/c$, which are made possible at energies of present laboratories from center of mass $��$ backward production and the help of Fermi motion. We have conducted a many body calculation of the mass distribution of the $��$ adapted to the experimental set up of a recent JLAB experiment where the backwards $��$ photoproduction has been measured. Using recent results for the in medium properties of the $��$, we find that the width of the invariant mass distribution for photoproduction on medium to heavy nuclei is larger than the free $��$ width by a factor of two or more.

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