# A note on the ambipolar diffusion in superfluid neutron stars

## TL;DR

This paper investigates magnetic field dissipation in superfluid neutron star cores, revealing that Ohmic and beta-processes dominate dissipation, with muons influencing particle motion effects, challenging previous assumptions.

## Contribution

It demonstrates that magnetic field decay in superfluid neutron stars is primarily due to Ohmic and beta-processes, contrary to prior literature, and clarifies muons' role in this process.

## Key findings

- Magnetic field dissipates mainly via Ohmic and beta-processes.
- Muon admixture affects particle motion and dissipation.
- Contradicts previous results suggesting superfluidity alters dissipation mechanisms.

## Abstract

We address the problem of magnetic field dissipation in the neutron star cores, focusing on the role of neutron superfluidity. Contrary to the results in the literature, we show that in the finite-temperature superfluid matter composed of neutrons, protons, and electrons, magnetic field dissipates exclusively due to Ohmic losses and non-equilibrium beta-processes, and only an admixture of muons restores (to some extent) the role of particle relative motion for the field dissipation. The reason for this discrepancy is discussed.