# Fine and hyperfine structure of the muonic ^3He ion - High Energy Physics - Phenomenology

Abstract: On the basis of quasipotential approach to the bound state problem in QED wecalculate the vacuum polarization, relativistic, recoil, structure correctionsof orders $\alpha^5$ and $\alpha^6$ to the fine structure interval $\DeltaE^{fs}=E2P {3-2}-E2P {1-2}$ and to the hyperfine structure of the energylevels $2P {1-2}$ and $2P {3-2}$ in muonic $^3 2He$ ion. The resulting values$\Delta E^{fs}= 144803.15 \mu eV$, $\Delta \tilde E^{hfs}2P {1-2}=-58712.90\mu eV$, $\Delta \tilde E^{hfs}2P {3-2}=-24290.69 \mu eV$ provide reliableguidelines in performing a comparison with the relevant experimental data.

Author: E.N. Elekina, A.P. Martynenko Samara State U.

Source: https://arxiv.org/