Higher order corrections to the hydrogen spectrum from the Standard-Model Extension

Nov, 2012
13 pages
Published in:
  • Phys.Rev.D 86 (2012) 116005
e-Print:

Citations per year

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Abstract: (arXiv)
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 α2\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 2S1S2S-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.
Note:
  • 13 pages, 1 figure
  • 11.30.Er
  • 32.30.-r
  • 11.30.Cp
  • 12.60.-i
  • effective Hamiltonian: nonrelativistic
  • CPT: violation
  • hydrogen
  • energy levels
  • new physics
  • Lorentz