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.
Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
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abstract
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.
verdicts
UNVERDICTED 3representative citing papers
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.
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 transitions under magnetic field.
citing papers explorer
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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 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 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 transitions under magnetic field.