  The nucleon sigma term of the isoscalar and isovector quark chromo-magnetic
dipole moments are essential inputs for the determination of the CP-odd
pion-nucleon couplings induced by quark chromo-electric dipole moments. We
demonstrate that the former can be mapped to the third moment of the nucleon
twist-three chiral-odd distribution functions $e^q(x)$ which are in principle
measurable in semi-inclusive deep inelastic scattering processes. We perform a
survey on existing model calculations as well as experimental data on
$e^u(x)+e^d(x)$ and derive a predicted range for the isoscalar chromo-magnetic
dipole moment sigma term.
