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

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