Positive-parity rotational bands in odd-Apf-shell nuclei: A shell model description

Low-lying positive-parity rotational bands have been recently found in odd-$A$ nuclei of the $\mathrm{pf}$ shell. Their occurrence can be explained as due to the coupling of a hole in the ${1d}_{3/2}$ orbit to the more deformed even-even $\mathrm{pf}$-shell configurations. Shell model calculations in the full $\mathrm{pf}$ shell plus one hole in the ${1d}_{3/2}$ orbit for ${}^{47}\mathrm{V}\mathrm{-}{(1d}_{3/2}{\otimes }^{48}\mathrm{Cr})$—and for ${}^{45}\mathrm{Sc}\mathrm{-}{(1d}_{3/2}{\otimes }^{46}\mathrm{Ti})$—support this interpretation. Very good agreement with the available experimental results is obtained.