  In this work, we propose a CPT-even and Lorentz-violating dimension-five
nonminimal coupling between fermionic and gauge fields, involving the CTP-even
and Lorentz-violating gauge tensor of the SME. This nonminimal coupling
modifies the Dirac equation, whose nonrelativistic regime is governed by a
Hamiltonian which induces new effects, such as an electric-Zeeman-like spectrum
splitting and an anomalous-like contribution to the electron magnetic moment,
between others. Some of these new effects allows to constrain the magnitude of
this nonminimal coupling in 1 part in 10^16.
