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

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