The antimagnetic rotation (AMR) on the neutron-deficient Cd isotopes is investigated. The observed negative-parity yrast band with $\alpha =-1/2$ in ${}^{103}\mathrm{Cd}$ and the positive-parity band with $\alpha =0$ in ${}^{104}\mathrm{Cd}$ are fitted by using the cranked shell model plus a particle-number conserving method. For the two bands above backbending, the calculated $B\left(E2\right)$ values display a decreasing tendency with the increasing of rotational frequency and the two-shears-like mechanism is clearly presented, thus conforming to the characteristics of AMR. On the other hand, the available experimental data indicate that Cd isotopes with $A<103$ do not meet the basic conditions for the existence of AMR bands. Therefore, it is judged that the Cd AMR chain may terminate at ${}^{103,104}\mathrm{Cd}$.

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