Theoretical Derivation And Statistical Result of $Σ$-$D$ Relation for Shell-Type Galactic Supernova Remnant [HEAP]

http://arxiv.org/abs/1501.05420


Theoretical derivation of the relation between radio surface brightness~($\Sigma$) and diameter~($D$) for shell-type galactic supernova remnant (SNR) at the adiabatic phase and radiative phase is investigated respectively in our paper. We find that a transition point exists in 30~pc between these two $\Sigma$-$D$ relations, which can be consistent with the statistical results made by other authors. In addition, we also obtain the statistical result of $\Sigma$-$D$ relation on 57 shell-type galactic remnants, which suggests that the best fit line of the $\Sigma$-$D$ relation should be slightly flatter than those proposed by some other authors before. An extra interesting result is that our theoretical derivation also implicates that a new state may exist between the adiabatic phase and radiative phase.

Read this paper on arXiv…

Y. Hu, J. Hou and J. Xu
Fri, 23 Jan 15
59/65

Comments: 7 pages, 1 figure