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Phys. Rev. D 74, 065009 (2006) [6 pages]

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

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H. Belich2,5,*, T. Costa-Soares3,4,5,†, M. M. Ferreira, Jr.1,5,‡, J. A. Helayël-Neto3,5,§, and F. M. O. Moucherek1,**
1Departamento de Física, Campus Universitário do Bacanga, Universidade Federal do Maranhão (UFMA), São Luiz—MA, 65085-580—Brasil
2Departamento de Física e Química, Universidade Federal do Espírito Santo (UFES), Av. Fernando Ferrari, S/N Goiabeiras, Vitória—ES, 29060-900—Brasil
3CBPF—Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ, Brasil
4Colégio Técnico Universitário, Universidade Federal de Juiz de Fora (UFJF), av. Bernardo Mascarenhas, 1283, Bairro Fábrica—Juiz de Fora—MG, 36080-001—Brasil
5Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brasil

Received 26 April 2006; revised 1 August 2006; published 13 September 2006

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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.065009
DOI:
10.1103/PhysRevD.74.065009
PACS:
11.30.Cp, 12.60.-i, 32.10.Fn

*Electronic address: belich@cbpf.br

Electronic address: tcsoares@cbpf.br

Electronic address: manojr@ufma.br

§Electronic address: helayel@cbpf.br

**Electronic address: fmoucherek@yahoo.com.br