  The modified Dirac-Pauli equations, which is entered by means of
${\gamma_5}$-mass extension of Hamiltonian operators, are considered. We also
take into account the interaction of fermions with the intensive homogenous
magnetic field focusing attention on (g-2) gyromagnetic factor of particles
with spin $1/2$. Without the use of perturbation theory in the external field
the exact energy spectra are deduced with regard to spin effects of fermions.
We discuss the possible proposals of experimental measuring of properties of
new particles which arising in this model.
