Lorentz-violating corrections on the hydrogen spectrum induced by a nonminimal coupling

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.065009· OSTI ID:20871242

Belich, H ^[1]; Costa-Soares, T ^[2]; Ferreira, Jr, M M ^[3]; Helayeel-Neto, J A ^[2]; Moucherek, F M. O. ^[3]

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1. Departamento de Fisica e Quimica, Universidade Federal do Espirito Santo (UFES), Av. Fernando Ferrari, S/N Goiabeiras, Vitoria-ES, 29060-900 (Brazil)
2. CBPF-Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ (Brazil)
3. Departamento de Fisica, Campus Universitario do Bacanga, Universidade Federal do Maranhao (UFMA), Sao Luiz-MA, 65085-580 (Brazil)

The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free nonminimal coupling. The nonrelativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this Hamiltonian on the hydrogen spectrum is determined to first-order evaluation (in the absence and in the presence of an external magnetic field), revealing that there appear some energy shifts that modify the fine structure of the spectrum. In the case the nonminimal coupling is torsionlike, no first order correction shows up in the absence of an external field; in the presence of an external field, a secondary Zeeman effect is implied. Such effects are then used to set up stringent bounds on the parameters of the model.

• OSTI ID: 20871242
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
COUPLING
EMISSION SPECTRA
EVALUATION
FERMIONS
FINE STRUCTURE
HAMILTONIANS
HYDROGEN
LORENTZ INVARIANCE
MAGNETIC FIELDS
ZEEMAN EFFECT