  Recently the new model for the generation of strong large scale magnetic
fields in neutron stars, driven by the parity violating interaction, was
proposed. In this model, the magnetic field instability results from the
modification of the chiral magnetic effect in presence of the electroweak
interaction between ultrarelativistic electrons and nucleons. In the present
work we study how a nonzero mass of charged particles, which are degenerate
relativistic electrons and nonrelativistic protons, influences the generation
of the magnetic field in frames of this approach. For this purpose we calculate
the induced electric current of these charged particles, electroweakly
interacting with background neutrons and an external magnetic field, exactly
accounting for the particle mass. This current is calculated by two methods:
using the exact solution of the Dirac equation for a charged particle in
external fields and computing the polarization operator of a photon in matter
composed of background neutrons. We show that the induced current is vanishing
in both approaches leading to the zero contribution of massive particles to the
generated magnetic field. We discuss the implication of our results for the
problem of the magnetic field generation in compact stars.
