Signatures of extended radio emission from escaping electrons in the Lighthouse Nebula
Pol Bordas, Xiying Zhang, Valent\'i Bosch-Ramon, Josep Maria, Paredes

TL;DR
This paper models the radio emission from electrons escaping the Lighthouse Nebula's pulsar wind nebula, predicting detectable extended radio halos that depend on particle energy cutoffs, aiding future observational constraints.
Contribution
It introduces a model for radio emission from escaping electrons in the Lighthouse Nebula, linking X-ray structures to potential radio halos and providing synthetic maps for observational testing.
Findings
Extended radio emission is detectable without extreme model parameters.
Predictions depend on particle energy cutoffs in the electron distribution.
Synthetic synchrotron maps are provided for observational comparison.
Abstract
Several supersonic runaway pulsar wind nebulae (sPWNe) with jet-like extended structures have been recently discovered in X-rays. If these structures are the product of electrons escaping the system and diffusing into the surrounding interstellar medium, they can produce a radio halo extending for several arcmin around the source. We model the expected radio emission in this scenario in the Lighthouse Nebula sPWN. We assume a constant particle injection rate during the source lifetime, and isotropic diffusion into the surrounding medium. Our predictions strongly depend on the low- and high-energy cutoffs given in the particle distribution. Our results indicate that extended radio emission can be detected from the Lighthouse Nebula without the need to invoke extreme values for the model parameters. We provide synthetic synchrotron maps that can be used to constrain these results with…
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