On a mechanism of magnetic field generation in pulsars

Consideration is given to a two-component superfluid neutron-proton Fermi liquid in the npe phase of a neutron star. Equations are obtained for the thermal Green functions and the anomalous expectation values of the two-component Fermi liquid. The Green functions are used to obtain an expression for the superconducting proton current and an equation for the magnetic field within the star. It is shown that the rotation leads to the occurrence of proton vortex filaments at the positions of neutron vortex filaments. In addition, rotation leads to the occurrence of a weak homogeneous static magnetic field.