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

Understand

A mixture of superconducting and superfluid nuclear liquids of protons coupled to the ultrarelativistic electron gas, and neutrons is considered.

• In the magnetohydrodynamic (MHD) approximation, the energy-momentum (stress) tensor is derived, and the entrainment contribution is found in the explicit form.
• It is shown that this contribution generates a force density, when a superfluid velocity lag and the magnetic field are simultaneously present.
• This force may be important in the nuclear "pasta" phase in neutron stars, if the proton and neutron Cooper pairing in the pasta phase is taken into account.