Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
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We have studied the effects of the Standard-Model Extension (SME) on hydrogen as a realization of new physics effects that incorporate Lorentz and CPT violation. Specifically, we calculated the SME-induced energy level shifts at order $\alpha^2$ times the SME parameters. We obtained contributions at this order both from the non-relativistic effective Hamiltonian for motion of a spin-1/2 particle in the presence of SME interactions and also from SME corrections to the propagator for exchange photons. We applied our result to the $2S-1S$ transition in hydrogen, which has been measured with extremely high precision. The results obtained in this work give the leading SME corrections for this transition.
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Cited by 3 Pith papers
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions III -- rovibrational spectrum and the non-minimal SME
Derivation of rovibrational energy levels for H2+ and anti-H2- in the non-minimal SME, including quantum number dependence and sidereal/annual variations for Lorentz/CPT tests.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions I -- rovibrational states
Rovibrational transitions in H₂⁺ offer O(m_p/m_e) enhanced sensitivity to spin-independent Lorentz/CPT violation in the proton sector relative to atomic 1S-2S transitions.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions II -- hyperfine-Zeeman spectrum
Extends effective QFT treatment of Lorentz and CPT violation to the hyperfine-Zeeman spectrum of H2+ and anti-H2- ions, demonstrating extraction of constraints on spin-dependent couplings from rovibrational transition...
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