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Register a new userOne-loop vacuum polarization at m$alpha$7 and higher orders for three-body molecular systems
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We present calculations of the one-loop vacuum polarization correction (Uehling potential) for the three-body problem in the NRQED formalism. The case of one-electron molecular systems is considered. Numerical results of the vacuum polarization contribution at m$alpha$7 and higher orders for the fundamental transitions (v = 0, L = 0) $rightarrow$ (v = 1, L = 0) in the H2+ and HD+ molecular ions are presented and compared with calculations performed in the adiabatic approximation. The residual uncertainty from this contribution on the transition frequencies is shown to be of a few tens of Hz.
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We present calculations of the one-loop vacuum polarization contribution (Uehling potential) for the two-center problem in the NRQED formalism. The cases of hydrogen molecular ions ($Z_1=Z_2=1$) as well as antiprotonic helium ($Z_1=2$, $Z_2=-1$) are considered. Numerical results of the vacuum polarization contribution at $malpha^7$ order for the fundamental transitions $(v=0,L=0)to(v=1,L=0)$ in H$_2^+$ and HD$^+$ are presented.
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