Observational constraints on the modeling of SN1006

TL;DR

This paper introduces a new method to compare models with observations of SN1006, constraining physical parameters like magnetic field strength and cosmic ray acceleration by fitting multi-band brightness profiles and spectra.

Contribution

It presents a simple MHD-based model that effectively constrains the magnetic field and cosmic ray parameters of SN1006 through detailed profile comparisons.

Findings

Best-fit magnetic field strength inside SN1006 is 32 micro G.

Model successfully fits the broad-band spectrum from radio to gamma-rays.

Evidence suggests non-uniform magnetic fields around SN1006.

Abstract

Experimental spectra and images of the supernova remnant SN1006 have been reported for radio, X-ray and TeV gamma-ray bands. Several comparisons between models and observations have been discussed in the literature, showing that the broad-band spectrum from the whole remnant as well as a sharpest radial profile of the X-ray brightness can be both fitted by adopting a model of SN1006 which strongly depends on the non-linear effects of the accelerated cosmic rays; these models predict post-shock magnetic field (MF) strengths of the order of 150 micro G. Here we present a new way to compare models and observations, in order to put constraints on the physical parameters and mechanisms governing the remnant. In particular, we show that a simple model based on the classic MHD and cosmic rays acceleration theories allows us to investigate the spatially distributed characteristics of SN1006 and to put observational constraints on the kinetics and MF. Our method includes modelling and comparison of the azimuthal and radial profiles of the surface brightness in radio, hard X-rays and TeV gamma-rays as well as the azimuthal variations of the electron maximum energy. In addition, this simple model also provides good fits to the radio-to-gamma-ray spectrum of SN1006. We find that our best-fit model predicts an effective MF strength inside SN1006 of 32 micro G, in good agreement with the `leptonic' model suggested by the HESS Collaboration (2010). Finally, some difficulties in both the `classic' and the non-linear models are discussed. A number of evidences about non-uniformity of MF around SN1006 are noted.