Abstract
The matter radius of the doubly magic ^{56}Ni was extracted from a measurement of the differential cross section by employing, for the first time, elastic proton scattering in inverse kinematics with a radioactive beam at E_{kin}=390.2 MeV/nucleon circulating in a storage ring and passing an internal hydrogen gas-jet target with a revolution frequency of around 2 MHz. The novel experimental scheme is based on UHV-compatible Si detectors operated as active vacuum windows, which were implemented in the ESR storage ring at GSI. A matter radius <r_{m}^{2}>^{1/2}=3.74^{+0.03}_{-0.06} fm was extracted for the doubly-magic self-conjugate nucleus ^{56}Ni.
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