Energy averaged angular distributions have been measured for 58Ni(p, p'γ) radiations at E p = 6.52 and 6.92 MeV for states up to 4.1 MeV excitation, using a Ge(Li)-NaI(Tl) coincidence-anticoincidence spectrometer. In order to obtain spin assignments and γ-ray multipolarities, the data were analysed in terms of χ 2 fits to predictions of statistical reaction theory. The present results, together with other recent measurements, lead to best energies and J π values for 58Ni levels: namely 1454.0±0.1 keV 2 1 +, 2459.1 ±0.34 1 +, 2775.2±0.22 2 +, 2901.8 ±0.2 1 1, 2942.4±0.20 2 +, 3037.6±0.32 3 +, 3263.4±0.22 4 +, 3420.3±0.33 1 (+), 3530.9±0.3, 3593.4±0.3 1 2 (+), 3620.0±0.44 2 +, 3774.4±0.43 2 (+), 3898.3±0.32 5 +, and 4107.7±0.3 2 6 (+). The previously accepted 4 + assignment for the 3530.9 keV level has been ruled out. Available information concerning the γ-ray branches, multipolarities and transition rates is discussed. Outstanding discrepancies with shell-model predictions for energy spectra and transition rates are pointed out, particularly with regard to the energies of the 1 1 and 1 2 levels and the puzzling γ-ray decay properties of the 0 + 2 state.
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