A systematic investigation of the high-spin band structures observed in ${}^{103,105,107,109}\mathrm{Nb}$ and ${}^{103,105,107,109}\mathrm{Tc}$ nuclides is performed using the triaxial projected shell model approach. For ${}^{103,105}\mathrm{Nb}$ isotopes, four bands have been populated with the lowest three bands corresponding to yrast, $\gamma$, and $2\gamma$ bands. The nature of the fourth observed band has remained unresolved as it has been shown from the transition intensity ratios that this band cannot correspond to the expected $3\gamma$ band. It is demonstrated in the present work that this fourth band is the second $\gamma$ band, resulting from the combination, $K=K_0-2$ with $K_0$ being the “$K$” value of the ground state configuration. The excitation energy and other properties of this band structure are predicted for all the studied nuclides.

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• Collective levels
• Nuclear structure & decays
• 90 ≤ A ≤ 149
• Shell model