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arXiv · 2607.09468

Neutron contribution to the force on a proton vortex in superconducting neutron-star matter

Oleg A. Goglichidze·Mikhail E. Gusakov
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Abstract

We investigate the forces acting on a proton vortex in superconducting neutron-star matter composed of neutrons, protons, and electrons, accounting for Fermi-liquid interactions in the neutron-proton subsystem. While the force arising from electron scattering by the vortex magnetic field is well known, we demonstrate that normal neutrons also exert a force on proton vortices due to Fermi-liquid coupling with superconducting protons. Using a kinetic approach based on Landau Fermi-liquid theory, we show that neutron quasiparticles scatter off a proton vortex through the spatially varying condensate momentum, giving rise to a longitudinal force proportional to the relative neutron-vortex velocity. In contrast to the electron contribution, this force has no transverse component and vanishes in the absence of neutron-proton Fermi-liquid interaction. Within a simple model, we analyze the main properties of this force and provide physically motivated estimates of its magnitude.

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Oleg A. Goglichidze, Mikhail E. Gusakov. 2026-07-10. Neutron contribution to the force on a proton vortex in superconducting neutron-star matter. https://doi.org/10.1103/hgmj-2s35

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