Large scale shell model calculations have been carried out for odd-odd $^{ 58-62}$Mn isotopes in two different model spaces. First set of calculations have been carried out in full $\it{ fp}$ shell valence space with two recently derived $\it{ fp}$ shell interactions namely GXPF1A and KB3G treating $^{ 40}$Ca as core. The second set of calculations have been performed in ${ fpg_{ 9/2}}$ valence space with the $fpg$ interaction treating $^{ 48}$Ca as core and imposing a truncation by allowing up to a total of six particle excitations from the 0f$_{ 7/2}$ orbital to the upper $\it{ fp}$ orbitals for protons and from the upper $\it{ fp}$ orbitals to the 0g$_{ 9/2}$ orbital for neutron. For low-lying states in $^{ 58}$Mn, the KB3G and GXPF1A both predicts good results and for $^{ 60}$Mn, KB3G is much better than GXPF1A. For negative parity and high-spin positive parity states in both isotopes $fpg$ interaction is required. Experimental data on $^{ 62}$Mn is sparse and therefore it is not possible to make any definite conclusions. More experimental data on negative parity states is needed to ascertain the importance of 0g$_{ 9/2}$ and higher orbitals in neutron rich Mn isotopes.
Categories: nucl-th