Updated radio $\Sigma-D$ relation for Galactic supernova remnants -- II
B. Vukoti\'c, A. \'Ciprijanovi\'c, M. M. Vu\v{c}eti\'c, D. Oni\'c and, D. Uro\v{s}evi\'c

TL;DR
This paper updates the empirical radio surface-brightness-to-diameter relation for Galactic supernova remnants using a larger sample, compares it with theoretical models, and refines distance estimates for new remnants.
Contribution
It provides an improved $ ext{Σ--D}$ relation based on 110 SNRs, incorporating advanced fitting and smoothing techniques, and compares empirical results with simulations.
Findings
Best empirical-theoretical agreement when certain SNRs are filtered out.
Distances to 5 new remnants and 27 candidates are estimated.
Filtered sample yields more consistent $ ext{Σ--D}$ relation.
Abstract
In this paper we present the updated empirical radio surface-brightness-to-diameter (--) relation for Galactic supernova remnants (SNRs) calibrated using SNRs with reliable distances. We apply orthogonal fitting procedure and kernel density smoothing in plane and compare the results with the latest theoretical relations derived from simulations of radio evolution of SNRs. We argue that the best agreement between the empirical and simulated relations is achieved if the mixed-morphology SNRs and SNRs of both, low brightness and small diameter, are filtered out from the calibration sample. The distances to newly discovered remnants and new candidates for shell SNRs are estimated from our full and filtered calibration samples.
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