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Low-lying spectra and several high-spin states of odd--even $^{61,63,65}$Coisotopes are calculated in two different shell-model spaces. First set ofcalculations have been carried out in ${fp}$ shell valence space (full $fp$space for $^{63,65}$Co and a truncated one for $^{61}$Co) using two recentlyderived ${fp}$ shell interactions, namely GXPF1A and KB3G, with $^{40}$Ca ascore. Similarly, the second set of calculations have been performed in${fpg_{9/2}}$ valence space using an ${fpg}$ effective interaction due toSorlin {\it et al}., with $^{48}$Ca as core and imposing a truncation. It isseen that the results of GXPF1A and KB3G are reasonable for $^{61,63}$Co. For$^{65}$Co, shell-model results show that the ${fpg}$ interaction adopted in thestudy is inadequate and also point out that it is necessary to include orbitalshigher than $1g_{9/2}$ for neutron-rich Co isotopes.

Shell-model results in $fp$ and ${fpg_{9/2}}$ spaces for $^{61,63,65}$Co isotopes