Kicks of magnetized strange quark stars induced by anisotropic emission of neutrinos

TL;DR

This paper investigates how anisotropic neutrino emission caused by magnetic fields in strange quark star cores can generate star kicks, with velocities matching observed data, using detailed modeling without simplifications.

Contribution

It provides a comprehensive, non-simplified calculation of neutrino-induced kicks in magnetized strange quark stars across realistic conditions.

Findings

Kick velocities up to ~1000 km/s

Velocities depend on magnetic field strength and star radius

Results align with observed pulsar velocities

Abstract

We study the anisotropic neutrino emission from the core of neutron stars induced by the star's magnetic field. We model the core as made out of a magnetized ideal gas of strange quark matter and implement the conditions for stellar equilibrium in this environment. The calculation is performed without resorting to analytical simplifications and for temperature, density and magnetic field values corresponding to typical conditions for a neutron star's evolution. The anisotropic neutrino emission produces a rocket effect that contributes to the star's kick velocity. We find that the computed values for the kick velocity lie within the range of the observed values, reaching velocities of the order of $\sim1000$ km s$^{-1}$ for magnetic fields between $10^{15}-10^{18}$ G and radii of 20 to 5 km, respectively.