Lorentz and CPT violating corrections to hydrogen energy levels at order 2̂

Details Lorentz and CPT violating corrections to hydrogen energy levels at order 2̂ Lorentz and CPT violating corrections to hydrogen energy levels at order 2̂

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.e1051a&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #E1.051

Physics

Scientific paper

The standard model extension (SME) is an effective field theory for physics beyond the SM that contains non-SM effects such as Lorentz and CPT violation. The SME effective Lagrangian contains a number of coefficients that describe new interactions. These as-yet-unobserved coefficients must be small. One approach for the detection of the SME coefficients is to calculate their effect on observable physical quantities, particularly those measureable to high precision. We have calculated the effect of the SME interactions on the energy levels of hydrogen. Starting from the field theory effective Lagrangian we have obtained the Hamiltonian of an SME-extended Dirac equation and have applied a Foldy-Wouthuysen expansion to obtain a non-relativistic effective Hamiltonian correct through terms quadratic in the momentum 3-vector. This Hamiltonian, at the order of interest, has the form H'=(Ai j+Bi j kσk)p^i p^j where Ai j and Bi j k are linear combinations of the SME parameters. We have evaluated the energy level corrections due to H', which are of order 2̂ times the SME coefficients. Constraints on the combinations of SME coefficients found in Ai j and Bi j k can be obtained by comparison with experimental results.

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