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

D. N. Kobyakov

1Institute of Applied Physics of the Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia

The energy-momentum (stress) tensor of a uniform mixture of superconducting and superfluid nuclear liquids of protons coupled to ultrarelativistic electron gas, and neutrons is considered. In the magnetohydrodynamic (MHD) approximation, corrections to the stress tensor due to nuclear interactions are found. Forces acting on the neutron momentum are explicitly taken into account. Our approach generalizes the theory of superfluid and superconducting nuclear matter to the case of non-zero superfluid momentum lag. The MHD equations of motion are applied to nuclear pasta in the mantle of a neutron star for a chosen geometry of flow and the magnetic field, and with a superfluid counterflow of protons and neutrons. Links between the resulting neutron force and the magnetar starquake triggering mechanism, and some open problems are briefly discussed.

Russian abstract

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