Theoretical $\Sigma$-$D$ Relations for Shell-Type Galactic Supernova Remnants

TL;DR

This paper derives theoretical surface brightness-diameter relations for shell-type supernova remnants during their radiative phase, extending previous adiabatic phase models, and uses these to estimate remnant phases from observational data.

Contribution

It provides the first theoretical $\Sigma$-$D$ relation for shell-type SNRs at the radiative phase, complementing existing adiabatic phase models.

Findings

Derived $\Sigma$-$D$ relation at radiative phase for shell-type SNRs.

Estimated phases of observed SNRs using the new relation.

Extended understanding of SNR evolution from adiabatic to radiative phases.

Abstract

Relations between radio surface brightness ($\Sigma$) and diameter ($D$) of supernova remnants (SNRs) are important in astronomy. In this paper, following the work Duric \& Seaquist (1986) at adiabatic phase, we carefully investigate shell-type supernova remnants at radiative phase, and obtain theoretical $\Sigma$-$D$ relation at radiative phase of shell-type supernova remnants at 1 GHz. By using these theoretical $\Sigma$-$D$ relations at adiabatic phase and radiative phase, we also roughly determine phases of some supernova remnant from observation data.