Large-scale shell model calculations are performed within the $fp{g}_{9/2}$ valence space to study the odd-proton ${}^{57-62}$Mn isotopes of the neutron-rich region. The study emphasizes the importance of neutron $g_{9/2}$ excitations, which make it possible to extend the calculation to high-spin states, up to $J=27/2\hslash$ for the odd-mass ${}^{57,59,61}$Mn and $J=16\hslash$ for the odd-odd ${}^{58,60,62}$Mn, for both positive and negative parities. It is demonstrated that the extended pairing-plus-quadrupole interaction with monopole corrections captures main structure properties of these nuclei. We quantitatively compare the calculated levels with existing experimental data, and pay attention especially to those tentatively assigned states by experiment. Rotational features of the states involving neutron $g_{9/2}$ excitations are discussed.

• Received 8 January 2013

DOI:https://doi.org/10.1103/PhysRevC.87.044327