The $$\varDelta I=2$$ΔI=2 bands in $$^{109}\hbox {In}$$109In : possible antimagnetic rotation

The high-spin structure of $$^{109}\\hbox {In}$$ was investigated with the $$^{100}\\hbox {Mo}(^{14}\\hbox {N},\\, 5\\hbox {n})^{109}\\hbox {In}$$ fusion-evaporation reaction at CIAE, Beijing. Eleven new $$\\gamma $$-rays of $$^{109}\\hbox {In}$$ were identified, by which the bandheads of the $$\\varDelta \\textit{I}$$ = 2 rotational bands were confirmed. The configurations were assigned with the help of the systematic discussion. Furthermore, the rotational bands are compared with the tilted-axis cranking calculations based on a relativistic mean-field approach. The rotational bands involving the 1p1h excitation to the $$\\pi d_{5/2}$$ and $$\\pi g_{7/2}$$ orbitals are suggested as candidates for antimagnetic rotation based on the theoretical results.