Hyperfine structure splitting of the positron-helium ions $e^{+}[^3$He$(2^3S)]$ and $e^{+}[^4$He$(2^3S)]$

The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion $e^{+}[^3$He$(2^3S)]$ and $e^{+}[^4$He$(2^3S)]$. In particular, we have fond that for the $e^{+}[{}^3$He$(2^3S)]$ ion one can observe the three following hyperfine structure splittinings: $5824.3986$, $76466.5308$ and $5824.4019$ MHz. In the $e^{+}[{}^4$He$(2^3S)]$ ion only one hyperfine structure splitting $82963.0427$ MHz can be observed. All these values can be measured in modern experiments.