Hyperfine splitting of $2^3{S}_1$ state in He${}^3$

Abstract

Relativistic corrections to the hyperfine splitting are calculated for the triplet $2^3{S}_1$ state of the helium isotope He${}^3$. High precision variational wave functions are employed, where the electron-electron correlations are well accounted for. Due to the unknown nuclear structure a comparison with the experimental result is performed via He${}^{3+}$ hyperfine splitting. Surprisingly, the second order contribution due to Fermi interaction, in spite of the additional small factor $m/M$, is very significant.

11 pages, 1 figure, submitted to J. Phys. B, updated, corrected, and added calculation of the recoil correction

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