Interpretation of the $\Delta I$=2 bands in $^{109}$In: possible antimagnetic rotation

Two $\Delta I$=2 rotational bands were identified at CIAE, Beijing, using $^{100}$Mo($^{14}$N, 5$n$)$^{109}$In fusion-evaporation, however, their interpretation remains unclear. The systematic discussion has been made and the dynamic moment of inertia has been analyzed in this work. Furthermore, the $\Delta I$=2 rotational bands are compared with the tilted-axis cranking calculations based on a relativistic mean-field approach. The theoretical results based on the corresponding configuration, which involve the $1p1h$ excitation to the $\pi$$g_{7/2}$ orbital, show that $^{109}$In can be a candidate nucleus for antimagnetic rotation.