Results from the study of the '@'Ru ('He, d) "'Rh reaction reveal evidence for shape coexistence in odd-mass rhodium isotopes. The strongly excited states at 786, 806, 969, 1019 and 1355 keV in "'Rh are good candidates for a rotational-like positive-parity band with J"= l/2+, 3/2+, 5/2+, 7/2+ and 9/2+, respectively, coexisting with spherical shell-model states like lg,,,, 2p,,,, 2p,,, and lfsjz as well as core-coupled configurations.
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