  We analyse a non-relativistic approximation of the Dirac equation for slow
fermions, coupled to the chameleon field and torsion in the spacetime with the
Schwarzschild metric, taken in the weak gravitational field of the Earth
approximation. We follow the analysis of the Dirac equation in the curved
spacetime with torsion, proposed by Kostelecky (Phys. Rev. D69, 105009 (2004)),
and apply the Foldy--Wouthuysen transformations. We derive the effective
low-energy gravitational potentials for slow fermions, coupled to the
gravitational field of the Earth, the chameleon field and to torsion with
minimal and non-minimal couplings.
