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A mixture of superconducting and superfluid nuclear liquids of protonscoupled to the ultrarelativistic electron gas, and neutrons is considered. Inthe magnetohydrodynamic (MHD) approximation, the energy-momentum (stress)tensor is derived, and the entrainment contribution is found in the explicitform. It is shown that this contribution generates a force density, when asuperfluid velocity lag and the magnetic field are simultaneously present. Thisforce may be important in the nuclear "pasta" phase in neutron stars, if theproton and neutron Cooper pairing in the pasta phase is taken into account. Itis found that if the liquid-crystalline matter of the pasta phase is superfluidand superconducting, then magnitude of the forces acting upon element of matterat typical magnetic field and the superfluid velocity lag, under certainconditions may become large enough to induce a critical stress in the neutronstar crust. As an application, the necessary conditions for triggering of astarquake are found in the pasta phase of neutron stars, assuming that thenuclei are flat slabs in parallel magnetic field. The present model includestwo independent local parameters: the superfluid velocity lag and the magneticfield. Possible links between the entrainment force and the magnetar starquaketriggering mechanism, and some open problems are discussed.

Application of superconducting-superfluid magnetohydrodynamics to nuclear "pasta" in neutron stars