The individual lifetimes of three low-lying states in the proton-decaying w
ell-deformed rotational band in the second minimum of the N = Z nucleus Cu-
58 were determined. Doppler-shift attenuated gamma -ray lineshapes were ana
lyzed following the fusion-evaporation reaction C-40,(Mg-24,1 alpha 1p1n)Cu
-58 and using the EUROBALL gamma -ray spectrometer coupled to ancillary det
ector systems. The deduced transitional quadrupole moments confirm the pred
icted increase of deformation towards the bottom of the band. The gamma dec
ay-out strength hints towards a nonstatistical pattern.